{"title":"Numerical analysis Books","description":"","products":[{"product_id":"poems-that-solve-puzzles-9780198853732","title":"Poems That Solve Puzzles","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAlgorithms are the hidden methods that computers apply to process information and make decisions. Nowadays, our lives are run by algorithms. They determine what news we see. They influence which products we buy. They suggest our dating partners. They may even be determining the outcome of national elections. They are creating, and destroying, entire industries. Despite mounting concerns, few know what algorithms are, how they work, or who created them.Poems that Solve Puzzles tells the story of algorithms from their ancient origins to the present day and beyond. The book introduces readers to the inventors and inspirational events behind the genesis of the world''s most important algorithms. Professor Chris Bleakley recounts tales of ancient lost inscriptions, Victorian steam-driven contraptions, top secret military projects, penniless academics, hippy dreamers, tech billionaires, superhuman artificial intelligences, cryptocurrencies, and quantum computing. Along the way, the book explains, with the aid of clear examples and illustrations, how the most influential algorithms work.Compelling and impactful, Poems that Solve Puzzles tells the story of how algorithms came to revolutionise our world.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003ePoems that Solve Puzzles is a thorough investigation into the history of algorithms...It is an enjoyable read for anyone curious about how algorithms developed and were implemented throughout history.' * Notices of the American Mathematical Society *\u003cbr\u003ePoems that Solve Puzzles: The History and Science of Algorithms is an informative and entertaining book. It is appropriate for a wide swath of readers, from people who are interested in learning about what \"blockchain\" is without having to do any math to students and instructors in the mathematical sciences who need more examples of how these academic topics make important contributions to the technologically complex world we live in. * Ron Buckmire, Occidental College, Mathematical Association of America *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e0: Introduction 1: Ancient Algorithms 2: Ever Expanding Circles 3: Computer Dreams 4: Weather Forecasts 5: Artificial Intelligence Emerges 6: Needles in Haystacks 7: The Internet 8: Googling the Web 9: Facebook and Friends 10: America's Favourite Quiz Show 11: Mimicking the Brain 12: Superhuman Intelligence 13: Next Steps","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732814868823,"sku":"9780198853732","price":31.34,"currency_code":"GBP","in_stock":false}]},{"product_id":"datadriven-modeling-scientific-computation-9780199660346","title":"DataDriven Modeling  Scientific Computation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eCombining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe book allows methods for dealing with large data to be explained in a logical process suitable for both undergraduate and post-graduate students ... With sport performance analysis evolving into deal with big data, the book forms a key bridge between mathematics and sport science * John Francis, University of Worcester *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI BASIC COMPUTATIONS AND VISUALIZATION; II DIFFERENTIAL AND PARTIAL DIFFERENTIAL EQUATIONS; III COMPUTATIONAL METHODS FOR DATA ANALYSIS; IV SCIENTIFIC APPLICATIONS","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732877422935,"sku":"9780199660346","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199660346.jpg?v=1719998780"},{"product_id":"multivariate-data-analysis-on-matrix-manifolds-with-manopt-9783030769734","title":"Multivariate Data Analysis on Matrix Manifolds:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number of exercises complement the main text with additional information and occasionally involve open and\/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization. \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Matrix analysis and differentiation.- Matrix manifolds in MDA.- Principal component analysis (PCA).- Factor analysis (FA).- Procrustes analysis (PA).- Linear discriminant analysis (LDA).- Canonical correlation analysis (CCA).- Common principal components (CPC).- Metric multidimensional scaling (MDS) and related methods.- Data analysis on simplexes.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743048970583,"sku":"9783030769734","price":33.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030769734.jpg?v=1720063886"},{"product_id":"recent-advances-in-industrial-and-applied-mathematics-9783030862381","title":"Recent Advances in Industrial and Applied","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1 M. Berger, Asteroid-Generated Tsunamis: A Review.- 2 A. Bermúdez, Some Case Studies in Environmental and Industrial Mathematics.- 3 Z. Cai et al., Hyperbolic Model Reduction for Kinetic Equations.- 4 A. Cohen et al., State Estimation - The Role of Reduced Models.- 5 C. Conca, Modelling Our Sense Of Smell.- 6 L. Edelstein-Keshet, Pattern formation inside living cells.- 7 M. Garzon et al., Efficient Algorithms for Tracking Moving Interfaces.- 8 K. Lauter, Private AI: Machine Learning on Encrypted Data.- 9 C. Le Bris, Mathematical approaches for contemporary materials science: Addressing defects in the microstructure.- 10 H. Leng et al., An iterative thresholding method for topology optimization for the Navier-Stokes flow.- 11 K. Sako, Cryptography and Digital Transformation.- 12 H. Suito et al., Numerical Study for Blood Flows in Thoracic Aorta.- 13 J.A.C. Weideman, Dynamics of Complex Singularities of Nonlinear PDEs: Analysis and Computation.\u003c\/p\u003e\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743055032663,"sku":"9783030862381","price":29.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030862381.jpg?v=1720063913"},{"product_id":"wave-phenomena-mathematical-analysis-and-numerical-approximation-9783031057922","title":"Wave Phenomena: Mathematical Analysis and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.\u003cbr\u003eThe research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing.\u003cbr\u003eThe goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eSpace-time approximations for linear acoustic, elastic, and electro-magnetic wave equations.- Local wellposedness and long-time behavior of quasilinear Maxwell equations.- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs’ systems.- An abstract framework for inverse wave problems with applications.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":48743066632535,"sku":"9783031057922","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031057922.jpg?v=1720063962"},{"product_id":"numerical-methods-for-solving-discrete-event-systems-with-applications-to-queueing-systems-9783031100819","title":"Numerical Methods for Solving Discrete Event","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis graduate textbook provides an alternative to discrete event simulation.  It describes how to formulate discrete event systems, how to convert them into Markov chains, and how to calculate their transient and equilibrium probabilities. The most appropriate methods for finding these probabilities are described in some detail, and templates for efficient algorithms are provided. These algorithms can be executed on any laptop, even in cases where the Markov chain has hundreds of thousands of states. This book features the probabilistic interpretation of Gaussian elimination, a concept that unifies many of the topics covered, such as embedded Markov chains and matrix analytic methods.\u003c\/p\u003eThe material provided should aid practitioners significantly to solve their problems. This book also provides an interesting approach to teaching courses of stochastic processes.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This monograph is an exciting addition to the queueing\/stochastic processes literature,\u003cbr\u003e written by two highly respected senior researchers. … The writing is precise and clear. Well-known models are used as examples to illustrate the methods presented. … It has a huge number of powerful techniques that are not given sufficient focus elsewhere. This may be one of the best books to introduce graduate students … . This monograph is essential for the bookshelf … of every serious queueing theorist.” (Myron Hlynka, Mathematical Reviews, December, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBasic Concepts and Definitions.- Systems with Events Generated by Poisson or by Binomial Processes.- Generating the Transition Matrix.- Systems with Events Created by Renewal Processes.- Systems with Events Created by Phase-type Processes.- Computational Complexity and Rounding and Truncation Errors.- Transient Solutions of Markov Chains.- Moving Toward the Statistical Equilibrium.- Equilibrium Solutions of Markov Chains and Related Topics.- Reducing the State Space Through Censoring and Embedding.- Systems with Independent or Almost Independent Components.- Infinite-State Markov Chains and Matrix Analytic Methods.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743069516119,"sku":"9783031100819","price":56.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031100819.jpg?v=1720063974"},{"product_id":"difference-matrices-for-ode-and-pde-a-matlab-r-companion-9783031119996","title":"Difference Matrices for ODE and PDE: A MATLAB®","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe use of difference matrices and high-level MATLAB® commands to implement finite difference algorithms is pedagogically novel. This unique and concise textbook gives the reader easy access and a general ability to use first and second difference matrices to set up and solve linear and nonlinear systems in MATLAB which approximate ordinary and partial differential equations. Prerequisites include a knowledge of basic calculus, linear algebra, and ordinary differential equations. Some knowledge of partial differential equations is a plus though the text may easily serve as a supplement for the student currently working through an introductory PDEs course.  Familiarity with MATLAB is not required though a little prior experience with programming would be helpful.\u003c\/p\u003e  In addition to its special focus on solving in MATLAB, the abundance of examples and exercises make this text versatile in use. It would serve well in a graduate course in introductory scientific computing for partial differential equations. With prerequisites mentioned above plus some elementary numerical analysis, most of the material can be covered and many of the exercises assigned in a single semester course. Some of the more challenging exercises make substantial projects and relate to topics from other typical graduate mathematics courses, e.g., linear algebra, differential equations, or topics in nonlinear functional analysis. A selection of the exercises may be assigned as projects throughout the semester. The student will develop the skills to run simulations corresponding to the primarily theoretical course material covered by the instructor. The book can serve as a supplement for the instructor teaching any course in differential equations. Many of the examples can be easily implemented and the resulting simulation demonstrated by the instructor. If the course has a numerical component, a few of the more difficult exercises may be assigned as student projects.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  Established researchers in theoretical partial differential equations may find this book useful as well, particularly as an introductory guide for their research students. Those unfamiliar with MATLAB can use the material as a reference to quickly develop their own applications in that language. Practical assistance in implementing algorithms in MATLAB can be found in these pages. A mathematician who is new to the practical implementation of methods for scientific computation in general can learn how to implement and execute numerical simulations of differential equations in MATLAB with relative ease by working through a selection of exercises. Additionally, the book can serve as a practical guide in independent study, undergraduate or graduate research experiences, or for reference in simulating solutions to specific thesis or dissertation-related experiments.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction.- 2. Review of elementary numerical methods and MATLAB(R).- 3. Ordinary Differential Equations.- 4. Partial Differential Equations.- 5. Advanced topics in semilinear elliptic BVP.- References.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743070859607,"sku":"9783031119996","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"parallel-programming-for-multicore-and-cluster-systems-9783031289231","title":"Parallel Programming: for Multicore and Cluster","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook covers the new development in processor architecture and parallel hardware. It provides detailed descriptions of parallel programming techniques that are necessary for developing efficient programs for multicore processors as well as for parallel cluster systems and supercomputers. \u003c\/p\u003e  \u003cp\u003eThe book is structured in three main parts, covering all areas of parallel computing: the architecture of parallel systems, parallel programming models and environments, and the implementation of efficient application algorithms. The emphasis lies on parallel programming techniques needed for different architectures. In particular, this third edition includes an extended update of the chapter on computer architecture and performance analysis taking new developments such as the aspect of energy consumption into consideration. The description of OpenMP has been extended and now also captures the task concept of OpenMP. The chapter on message-passing programming has been extended and updated to include new features of MPI such as extended reduction operations and non-blocking collective communication operations. The chapter on GPU programming also has been updated. All other chapters also have been revised carefully.\u003c\/p\u003e  \u003cp\u003eThe main goal of this book is to present parallel programming techniques that can be used in many situations for many application areas and to enable the reader to develop correct and efficient parallel programs. Many example programs and exercises are provided to support this goal and to show how the techniques can be applied to further applications. The book can be used as a textbook for students as well as a reference book for professionals. The material of the book has been used for courses in parallel programming at different universities for many years.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“Parallel programming: for multicore and cluster systems is breathlessly encyclopedic, brilliant, and idiosyncratic--and likely to polarize opinions. Incontestably, it’s a valuable shelf reference. For a parallel programming autodidact, it may provide a steep learning curve depending on interests and prior knowledge.” (A. Squassabia, Computing Reviews, September 14, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- Introduction. - Parallel Computer Architecture.- Parallel Programming Models. - Performance Analysis of Parallel Programs.- Message-Passing Programming.- Thread Programming. - General Purpose GPU Programming. - References.- Index.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743079313751,"sku":"9783031289231","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"model-order-reduction-and-applications-cetraro-italy-2021-9783031295621","title":"Model Order Reduction and Applications: Cetraro,","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and\/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields.\u003cp\u003eConsisting of  four contributions presented at the CIME summer school, the book presents several points of view and techniques to solve demanding problems of increasing complexity. The focus is on theoretical investigation and applicative algorithm development for reduction in the complexity – the dimension, the degrees of freedom, the data – arising in these models.\u003c\/p\u003eThe book is addressed to graduate students, young researchers and people interested in the field. It is a good companion for graduate\/doctoral classes.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- 1. The Reduced Basis Method in Space and Time: Challenges, Limits and Perspectives. - 2. Inverse Problems: A Deterministic Approach Using Physics-Based Reduced Models. - 3. Model Order Reduction for Optimal Control Problems. - 4. Machine Learning Methods for Reduced Order Modeling.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743079739735,"sku":"9783031295621","price":42.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031295621.jpg?v=1720064021"},{"product_id":"introduction-to-applications-of-modular-forms-computational-aspects-9783031326288","title":"Introduction to Applications of Modular Forms:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of different types of special functions. A detailed account of recent applications of modular forms in number theory with a focus on using computer algorithms is provided. Computer algorithms are included for each presented application to help readers put the theory in context and make new conjectures.  \u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eDirichlet Characters.- Modular Forms: Definition and Some Properties.- Application: Quadratic Forms.- Application: Eta Quotients.- Various Applications.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743080788311,"sku":"9783031326288","price":66.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031326288.jpg?v=1723812628"},{"product_id":"the-finite-volume-method-in-computational-fluid-dynamics-an-advanced-introduction-with-openfoam-r-and-matlab-9783319168739","title":"The Finite Volume Method in Computational Fluid","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems.\u003c\/p\u003e\u003cp\u003eWith over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“Directed towards future practitioners such as engineers the authors first provide an introduction to fluid dynamics presupposing but a modicum of mathematical and physical knowledge. … . A number of exercises plus special chapters on modelling incompressible and compressible flow make the book very useful for its purpose.” (H. Muthsam, Monatshefte für Mathematik, Vol. 187 (1), September, 2018)\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“The book is very attractive, carefully written and easy to read by those interested in learning about finite volume methods for fluid dynamics. The authors have made an important effort to bridge the gap between classroom material and actual model development questions. The text is well illustrated by means of quality figures helping to understand the described concepts. Furthermore, the book contains pieces of academic codes in MATLAB … . It is certainly a useful, practical and valuable book.” (Pilar Garcia-Navarro, Mathematical Reviews, May, 2016)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eFoundation\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e1 Introduction\u003cbr\u003e\u003cbr\u003e2 Review of Vector Calculus\u003c\/p\u003e\u003cp\u003e3 Mathematical Description of Physical Phenomena\u003cbr\u003e\u003cbr\u003e4 The Discretization Process\u003cbr\u003e\u003cbr\u003e5 The Finite Volume Method\u003cbr\u003e\u003cbr\u003e6 The Finite Volume Mesh\u003cbr\u003e\u003cbr\u003e7 The Finite Volume Mesh in OpenFOAM® and uFVM\u003cbr\u003e\u003cbr\u003e\u003cb\u003eDiscretization\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e8 Spatial Discretization: The Diffusion Term\u003c\/p\u003e\u003cp\u003e9 Gradient Computation\u003c\/p\u003e\u003cp\u003e10 Solving the System of Algebraic Equations\u003cbr\u003e\u003cbr\u003e11 Discretization of the Convection Term\u003c\/p\u003e\u003cp\u003e12 High Resolution Schemes\u003cbr\u003e\u003cbr\u003e13 Temporal Discretization: The Transient Term\u003cbr\u003e\u003cbr\u003e14 Discretization of the Source Term, Relaxation, and Other Details\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAlgorithms\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e15 Fluid Flow Computation: Incompressible Flows\u003cbr\u003e\u003cbr\u003e16 Fluid Flow Computation: Compressible Flows\u003cbr\u003e\u003cbr\u003e\u003cb\u003eApplications\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e17 Turbulence Modeling\u003cbr\u003e\u003cbr\u003e18 Boundary Conditions in OpenFOAM® and uFVM\u003cbr\u003e\u003cbr\u003e19 An OpenFOAM® Turbulent Flow Application \u003c\/p\u003e\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e\u0026lt;\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743092420951,"sku":"9783319168739","price":94.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319168739.jpg?v=1720064077"},{"product_id":"computational-methods-for-fluid-dynamics-9783319996912","title":"Computational Methods for Fluid Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThis book is a guide to numerical methods for solving fluid dynamics problems. The most widely used discretization and solution methods, which are also found in most commercial CFD-programs, are described in detail. Some advanced topics, like moving grids, simulation of turbulence, computation of free-surface flows, multigrid methods and parallel computing, are also covered. Since CFD is a very broad field, we provide fundamental methods and ideas, with some illustrative examples, upon which more advanced techniques are built. Numerical accuracy and estimation of errors are important aspects and are discussed in many examples. Computer codes that include many of the methods described in the book can be obtained online. This 4th edition includes major revision of all chapters; some new methods are described and references to more recent publications with new approaches are included. Former Chapter 7 on solution of the Navier-Stokes equations has been split into two Chapters to allow for a more detailed description of several variants of the Fractional Step Method and a comparison with SIMPLE-like approaches. In Chapters 7 to 13, most examples have been replaced or recomputed, and hints regarding practical applications are made. Several new sections have been added, to cover, e.g., immersed-boundary methods, overset grids methods, fluid-structure interaction and conjugate heat transfer.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eBasic Concepts of Fluid Flow.- Introduction to Numerical Methods.- Finite Difference Methods.- Finite Volume Methods.- Solution of Linear Equation Systems.-Methods for Unsteady Problems.- Solution of the Navier-Stokes Equations.- Complex Geometries.- Turbulent Flows.- Compressible Flows.- Efficiency, Accuracy and Grid Quality.- Special Topics.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743112868183,"sku":"9783319996912","price":52.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319996912.jpg?v=1720064167"},{"product_id":"convex-analysis-and-minimization-algorithms-ii-advanced-theory-and-bundle-methods-9783642081620","title":"Convex Analysis and Minimization Algorithms II:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFrom the reviews: \"The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis.\" \"This innovative text is well written, copiously illustrated, and accessible to a wide audience\"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eFrom the reviews: \"The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books. . . [is] that they are designed not for the expert, but for those who wish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis.\" \"This innovative text is well written, copiously illustrated, and accessible to a wide audience\"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIX. Inner Construction of the Subdifferential.- X. Conjugacy in Convex Analysis.- XI. Approximate Subdifferentials of Convex Functions.- XII. Abstract Duality for Practitioners.- XIII. Methods of ?-Descent.- XIV. Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods.- XV. Acceleration of the Cutting-Plane Algorithm: Primal Forms of Bundle Methods.- Bibliographical Comments.- References.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743133577559,"sku":"9783642081620","price":104.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"monte-carlo-methods-9789811329708","title":"Monte Carlo Methods","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book seeks to bridge the gap between statistics and computer science. It provides an overview of Monte Carlo methods, including Sequential Monte Carlo, Markov Chain Monte Carlo, Metropolis-Hastings, Gibbs Sampler, Cluster Sampling, Data Driven MCMC, Stochastic Gradient descent, Langevin Monte Carlo, Hamiltonian Monte Carlo, and energy landscape mapping. Due to its comprehensive nature, the book is suitable for developing and teaching graduate courses on Monte Carlo methods. To facilitate learning, each chapter includes several representative application examples from various fields. The book pursues two main goals: (1) It introduces researchers to applying Monte Carlo methods to broader problems in areas such as Computer Vision, Computer Graphics, Machine Learning, Robotics, Artificial Intelligence, etc.; and (2) it makes it easier for scientists and engineers working in these areas to employ Monte Carlo methods to enhance their research.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“This monograph ... is intended to be a textbook for graduate students in statistics, computer science and engineering. It covers a very broad range of topics ... . Each chapter is finished by a rather long list of relevant references. Thus, it can be used also as a reference book by researches in the fields of machine learning, pattern recognition ... . it can be a useful reference to many important Monte Carol methods.” (Jaromír Antoch, zbMATH 1483.65001, 2022)\u003c\/p\u003e\u003cp\u003e“True to its goal, the text offers a comprehensive overview on Monte Carlo methods. … this text is a quality reference for researchers interested in computer vision, computer graphics, machine learning, artificial intelligence and related fields.” (Grant Innerst, MAA Reviews, July 18, 2021)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Introduction to Monte Carlo Methods.- 2 Sequential Monte Carlo.- 3 Markov Chain Monte Carlo - the Basics.- 4 Metropolis Methods and Variants.- 5 Gibbs Sampler and its Variants.- 6 Cluster Sampling Methods.- 7 Convergence Analysis of MCMC.- 8 Data Driven Markov Chain Monte Carlo.- 9 Hamiltonian and Langevin Monte Carlo.- 10 Learning with Stochastic Gradient.- 11 Mapping the Energy Landscape.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":48743287619927,"sku":"9789811329708","price":89.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811329708.jpg?v=1720064936"},{"product_id":"getting-started-in-mathematical-life-sciences-from-matlab-programming-to-computer-simulations-9789811982569","title":"Getting Started in Mathematical Life Sciences:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book helps the reader make use of the mathematical models of biological phenomena starting from the basics of programming and computer simulation. Computer simulations based on a mathematical model enable us to find a novel biological mechanism and predict an unknown biological phenomenon. Mathematical biology could further expand the progress of modern life sciences. Although many biologists are interested in mathematical biology, they do not have experience in mathematics and computer science. An educational course that combines biology, mathematics, and computer science is very rare to date. Published books for mathematical biology usually explain the theories of established mathematical models, but they do not provide a practical explanation for how to solve the differential equations included in the models, or to establish such a model that fits with a phenomenon of interest. \u003cbr\u003eMATLAB is an ideal programming platform for the beginners of computer science. This book starts from the very basics about how to write a programming code for MATLAB (or Octave), explains how to solve ordinary and partial differential equations, and how to apply mathematical models to various biological phenomena such as diabetes, infectious diseases, and heartbeats. Some of them are original models, newly developed for this book. Because MATLAB codes are embedded and explained throughout the book, it will be easy to catch up with the text. In the final chapter, the book focuses on the mathematical model of the proneural wave, a phenomenon that guarantees the sequential differentiation of neurons in the brain. This model was published as a paper from the author’s lab (Sato et al., PNAS 113, E5153, 2016), and was intensively explained in the book chapter “Notch Signaling in Embryology and Cancer”, published by Springer in 2020. \u003cbr\u003eThis book provides the reader who has a biological background with invaluable opportunities to learn and practice mathematical biology.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e1. Preparation.- 2. Introduction to MATLAB   programming .-  3. Simulating time variations in   life phenomena.-  4. Simulating temporal and   spatial changes in biological phenomena.\u003cbr\u003e","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":48743295385943,"sku":"9789811982569","price":39.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811982569.jpg?v=1720064971"},{"product_id":"finite-element-method-the-its-fundamentals-and-applications-in-engineering-9789814350563","title":"Finite Element Method, The: Its Fundamentals And","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eOne-Dimensional Model Problems; Two-Dimensional Model Problems; General Variational Formulation; One-Dimensional Elements and Their Properties; Two-Dimensional Elements and Their Properties; Three-Dimensional Elements and Their Properties; Finite Elements for Transient and Nonlinear Problems; Application to Solid Mechanics; Application to Fluid Mechanics; Application to Porous Media Flow; Other Finite Element Methods.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743298892119,"sku":"9789814350563","price":67.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789814350563.jpg?v=1720064986"},{"product_id":"introductory-functional-analysis-with-applications-9780471504597","title":"Introductory Functional Analysis with","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMetric Spaces.\u003cbr\u003e\u003cbr\u003eNormed Spaces;\u003cbr\u003e\u003cbr\u003eBanach Spaces.\u003cbr\u003e\u003cbr\u003eInner Product Spaces;\u003cbr\u003e\u003cbr\u003eHilbert Spaces.\u003cbr\u003e\u003cbr\u003eFundamental Theorems for Normed and Banach Spaces.\u003cbr\u003e\u003cbr\u003eFurther Applications: Banach Fixed Point Theorem.\u003cbr\u003e\u003cbr\u003eSpectral Theory of Linear Operators in Normed Spaces.\u003cbr\u003e\u003cbr\u003eCompact Linear Operators on Normed Spaces and Their Spectrum.\u003cbr\u003e\u003cbr\u003eSpectral Theory of Bounded Self-Adjoint Linear Operators.\u003cbr\u003e\u003cbr\u003eUnbounded Linear Operators in Hilbert Space.\u003cbr\u003e\u003cbr\u003eUnbounded Linear Operators in Quantum Mechanics.\u003cbr\u003e\u003cbr\u003eAppendices.\u003cbr\u003e\u003cbr\u003eReferences.\u003cbr\u003e\u003cbr\u003eIndex.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48864649838935,"sku":"9780471504597","price":130.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471504597.jpg?v=1722272894"},{"product_id":"prime-suspects-9780691149158","title":"Prime Suspects","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis outrageous graphic novel investigates key concepts in mathematics by taking readers on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics within a thrilling murder mystery.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"\u003ci\u003ePrime Suspects\u003c\/i\u003e will appeal to a variety of readers in a variety of venues . . . . For the mathematician who eats, sleeps, and drinks numbers, start on page one and just enjoy the story . . . the book is fun, and interesting, and a challenge on many levels.\"\u003cb\u003e---Judith Reveal, \u003ci\u003eNew York Journal of Books\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"\u003ci\u003ePrime Suspects\u003c\/i\u003e blends together the worlds of mathematics and forensic science to give readers both an interesting mystery and an education in numbers.\"\u003cb\u003e---Anelise Farris, \u003ci\u003eRogues Portal\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"A total one-off.\"\u003cb\u003e---Matthew Reisz, \u003ci\u003eTimes Educational Supplement\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"This is really a great book with so many references to mathematical ideas, that you can read and reread and find every time new details hidden in the graphics.\"\u003cb\u003e---Adhemar Bultheel, \u003ci\u003eEuropean Mathematical Society\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"What a spectacular book! I am rather blown away by it.\"\u003cb\u003e---Jonathan Shock, \u003ci\u003eMathemAfrica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Granville and Granville have performed something of a feat. They've written a graphic detective novel that is both interesting to read and yet simultaneously teaches its readers some deep mathematics . . . . It's very difficult to write a book on an advanced topic in mathematics that's accessible to math students and enthusiasts yet touches on contemporary research that is of interest to a broad swath of practicing mathematicians. \u003ci\u003ePrime Suspects\u003c\/i\u003e is such a book. And it's entertaining to boot. I recommend it in the strongest terms.\"\u003cb\u003e---Benjamin Linowitz, \u003ci\u003eMAA Reviews\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"\u003cp\u003eBringing in elements from film noir, TV police shows and famous movies, coupled with some amazing art work, subtle\u003cbr\u003emathematical humour and corny science jokes, and what you have is a one-of-a-kind creation – indeed, \u003ci\u003ePrime Suspects \u003c\/i\u003ehas it all from minus to plus infinity.\u003c\/p\u003e\"\u003cb\u003e---David Appell, \u003ci\u003ePhysics World\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Renowned number-theorist Andrew Granville here explores the graphic novel as a format to popularize mathematical discoveries. This absolutely brilliantly illustrated book arose from an earlier play and an accompanying commissioned musical piece. The mathematics too is astonishing—but explained understandably.\" * Mathematics Magazine *\u003cbr\u003e\"If you are a mathematician, I definitely recommend reading (and listening to) \u003ci\u003ePrime Suspects\u003c\/i\u003e. If you are not a mathematician, you might miss a number of references, and some passages might be too mysterious or technical, but still it makes for interesting reading; it might be good for you, too.\"\u003cb\u003e---Marco Abate, \u003ci\u003eThe Mathematical Intelligencer\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"The artwork and presentation are both well up to the standard of a mainstream graphic novel.\"\u003cb\u003e---Andrew Ruddle, \u003ci\u003eMathematics Today\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"\u003ci\u003ePrime Suspects\u003c\/i\u003e is a work of art which anyone with a passion for maths will appreciate and enjoy.\"\u003cb\u003e---Lennie Wells, \u003ci\u003eMathematical Gazette\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"I definitely recommend.\"\u003cb\u003e---Marco Abate, \u003ci\u003eMathematical Intelligencer\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865524711767,"sku":"9780691149158","price":23.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691149158.jpg?v=1722274386"},{"product_id":"programming-in-haskell-9781316626221","title":"Programming in Haskell","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHaskell is a purely functional language that allows programmers to rapidly develop clear, concise, and correct software. The language has grown in popularity in recent years, both in teaching and in industry. This book is based on the author''s experience of teaching Haskell for more than twenty years. All concepts are explained from first principles and no programming experience is required, making this book accessible to a broad spectrum of readers. While Part I focuses on basic concepts, Part II introduces the reader to more advanced topics. This new edition has been extensively updated and expanded to include recent and more advanced features of Haskell, new examples and exercises, selected solutions, and freely downloadable lecture slides and example code. The presentation is clean and simple, while also being fully compliant with the latest version of the language, including recent changes concerning applicative, monadic, foldable, and traversable types.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'The skills you acquire by studying this book will make you a much better programmer no matter what language you use to actually program in.' Erik Meijer, Facebook, from the Foreword\u003cbr\u003eReview of previous edition: 'The best introduction to Haskell available. There are many paths towards becoming comfortable and competent with the language but I think studying this book is the quickest path. I urge readers of this magazine to recommend Programming in Haskell to anyone who has been thinking about learning the language.' Duncan Coutts, The Monad.Reader\u003cbr\u003eReview of previous edition: 'Where this book excels is in the order and style of its exposition … With its ripe selection of examples and its careful clarity of exposition, the book is a welcome addition to the introductory functional programming literature.' Journal of Functional Programming\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword; Preface; Part I. Basic Concepts: 1. Introduction; 2. First steps; 3. Types and classes; 4. Defining functions; 5. List comprehensions; 6. Recursive functions; 7. Higher-order functions; 8. Declaring types and classes; 9. The countdown problem; Part II. Going Further: 10. Interactive programming; 11. Unbeatable tic-tac-toe; 12. Monads and more; 13. Monadic parsing; 14. Foldables and friends; 15. Lazy evaluation; 16. Reasoning about programs; 17. Calculating compilers; Appendix A. Selected solutions; Appendix B. Standard prelude; Bibliography; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48866553856343,"sku":"9781316626221","price":33.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781316626221.jpg?v=1722279194"},{"product_id":"random-number-generatorsprinciples-and-practices-9781501515132","title":"Random Number GeneratorsPrinciples and Practices","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eRandom Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge. Using an approach that employs clear diagrams and running code examples rather than excessive mathematics, random number related topics such as entropy estimation, entropy extraction, entropy sources, PRNGs, randomness testing, distribution generation, and many others are exposed and demystified. If you have ever     Wondered how to test if data is really random    Needed to measure the randomness of data in real time as it is generated    Wondered how to get randomness into your programs    Wondered whether or not a random number generator is trustworthy    Wanted to be able to choose between random number generator solutions    Needed to turn uniform random data into a different distribution    Needed\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1 Introduction \u003c\/p\u003e \u003cp\u003e1.1 Tools \u003c\/p\u003e \u003cp\u003e1.2 Terminology \u003c\/p\u003e \u003cp\u003e1.3 The Many Types of Random Numbers \u003c\/p\u003e \u003cp\u003e1.3.1 Uniform Random Numbers \u003c\/p\u003e \u003cp\u003e2 Random Number Generators \u003c\/p\u003e \u003cp\u003e2.1 Classes of Random Number Generators \u003c\/p\u003e \u003cp\u003e2.2 Names for RNGs \u003c\/p\u003e \u003cp\u003e3 Making Random Numbers \u003c\/p\u003e \u003cp\u003e3.1 A Quick Overview of the RNG Types \u003c\/p\u003e \u003cp\u003e3.2 The Structure of Full RNG Implementations \u003c\/p\u003e \u003cp\u003e3.3 Pool Extractor Structures \u003c\/p\u003e \u003cp\u003e3.4 Multiple Input Extractors \u003c\/p\u003e \u003cp\u003e4 Physically Uncloneable Functions 21 \u003c\/p\u003e \u003cp\u003e4.1 The other kind âAS Static vs. Dynamic Random Number Generators . \u003c\/p\u003e \u003cp\u003e5 Testing Random Numbers \u003c\/p\u003e \u003cp\u003e5.1 Known Answer Tests \u003c\/p\u003e \u003cp\u003e5.2 Distinguishing From Random \u003c\/p\u003e \u003cp\u003e5.3 PRNG Test Suites \u003c\/p\u003e \u003cp\u003e5.4 Entropy Measurements \u003c\/p\u003e \u003cp\u003e5.5 Min Entropy Estimation \u003c\/p\u003e \u003cp\u003e5.6 Model Equivalence Testing \u003c\/p\u003e \u003cp\u003e5.7 Statistical Prerequisite Testing \u003c\/p\u003e \u003cp\u003e5.8 The problem Distinguishing Entropy and Pseudo-randomness \u003c\/p\u003e \u003cp\u003e5.9 PRNG Tests: DieHarder, NIST SP800-22,TestU01, China ICS 35.040 \u003c\/p\u003e \u003cp\u003e5.10 Entropy Measurements \u003c\/p\u003e \u003cp\u003e5.11 Min Entropy Measurements \u003c\/p\u003e \u003cp\u003e5.12 Modeling to Test a Source \u003c\/p\u003e \u003cp\u003e5.13 Statistical Prerequisites \u003c\/p\u003e \u003cp\u003e5.14 Testing for bias . \u003c\/p\u003e \u003cp\u003e5.15 results that are âAŸtoo goodâAZ (E.G. Chi-square == 0.5) \u003c\/p\u003e \u003cp\u003e5.16 Distinguishing Correlation from Bias \u003c\/p\u003e \u003cp\u003e5.17 Testing for Stationary properties \u003c\/p\u003e \u003cp\u003e5.18 FFT analysis \u003c\/p\u003e \u003cp\u003e5.19 Online Testing \u003c\/p\u003e \u003cp\u003e5.20 Working From the Source RNG \u003c\/p\u003e \u003cp\u003e5.21 Tools \u003c\/p\u003e \u003cp\u003e5.22 Summary \u003c\/p\u003e \u003cp\u003e6 Entropy Extraction or Distillation \u003c\/p\u003e \u003cp\u003e6.1 A simple extractor, the XOR gate \u003c\/p\u003e \u003cp\u003e6.2 A simple way of improving the distribution of random numbers that have known missing \u003c\/p\u003e \u003cp\u003evalues using XOR \u003c\/p\u003e \u003cp\u003e7 Quantifying Entropy \u003c\/p\u003e \u003cp\u003e7.1 Rényi Entropy \u003c\/p\u003e \u003cp\u003e7.2 Distance From Uniform \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eTopics to put somewhere in the book- in existing chapters and new chapters \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e8.1 XOR as a 2 bit extractor \u003c\/p\u003e \u003cp\u003e8.2 Properties of real random numbers \u003c\/p\u003e \u003cp\u003e8.3 Binomial distributions \u003c\/p\u003e \u003cp\u003e8.4 Normal distributions \u003c\/p\u003e \u003cp\u003e8.4.1 Dice, more dice \u003c\/p\u003e \u003cp\u003e8.4.2 Central limit theorem \u003c\/p\u003e \u003cp\u003e8.5 Seeing patterns \u003c\/p\u003e \u003cp\u003e8.6 Regression to the mean \u003c\/p\u003e \u003cp\u003e8.7 Lack of correlation, bias, algorithmic connections, predictability \u003c\/p\u003e \u003cp\u003e8.8 What’s a True random number? \u003c\/p\u003e \u003cp\u003e8.9 Random numbers in cryptography \u003c\/p\u003e \u003cp\u003e8.10 Things they help with liveness, unpredictability, resistance to attacks \u003c\/p\u003e \u003cp\u003e8.11 Examples of use \u003c\/p\u003e \u003cp\u003e8.11.1 Salting Passwords . \u003c\/p\u003e \u003cp\u003e8.11.2 802.11i exchange \u003c\/p\u003e \u003cp\u003e8.11.3 PKMv2 exchange \u003c\/p\u003e \u003cp\u003e8.11.4 Making Keys \u003c\/p\u003e \u003cp\u003e8.12 Examples of RNG crypto failures \u003c\/p\u003e \u003cp\u003e8.12.1 Sony PS3 attack \u003c\/p\u003e \u003cp\u003e8.12.2 MiFare Classic \u003c\/p\u003e \u003cp\u003e8.12.3 Online Poker \u003c\/p\u003e \u003cp\u003e8.12.4 Debian OpenSSL Fiasco \u003c\/p\u003e \u003cp\u003e8.12.5 Linux Boot Time Entropy \u003c\/p\u003e \u003cp\u003e8.13 Humans and random numbers \u003c\/p\u003e \u003cp\u003e8.14 Result of asking people for a random number \u003c\/p\u003e \u003cp\u003e8.14.1 Normal People \u003c\/p\u003e \u003cp\u003e8.14.2 Crypto People \u003c\/p\u003e \u003cp\u003e8.15 Mental Random Number Tricks \u003c\/p\u003e \u003cp\u003e8.15.1 How to think of a really random number \u003c\/p\u003e \u003cp\u003e8.16 PRNGs \u003c\/p\u003e \u003cp\u003e8.17 extractors \u003c\/p\u003e \u003cp\u003e8.17.1 CBC MAC \u003c\/p\u003e \u003cp\u003e8.17.2 BIW \u003c\/p\u003e \u003cp\u003e8.17.3 Von Neumann \u003c\/p\u003e \u003cp\u003e8.18 Extractor Theory \u003c\/p\u003e \u003cp\u003e8.19 Random Number Standards \u003c\/p\u003e \u003cp\u003e8.19.1 SP800-90A B C . \u003c\/p\u003e \u003cp\u003e8.19.2 Ansi X9.82 \u003c\/p\u003e \u003cp\u003e8.20 PRNG Algorithms \u003c\/p\u003e \u003cp\u003e8.20.1 SP800-90A CTR DRBG \u003c\/p\u003e \u003cp\u003e8.20.2 SP800-90A SHA DRBG \u003c\/p\u003e \u003cp\u003e8.20.3 XOR Construction \u003c\/p\u003e \u003cp\u003e8.20.4 Oversampling Construction \u003c\/p\u003e \u003cp\u003e8.21 Yarrow \u003c\/p\u003e \u003cp\u003e8.22 Whirlpool \u003c\/p\u003e \u003cp\u003e8.23 Linux Kernel random service \u003c\/p\u003e \u003cp\u003e8.24 Appendices \u003c\/p\u003e \u003cp\u003e8.25 Resources \u003c\/p\u003e \u003cp\u003e8.25.1 SW Sources \u003c\/p\u003e \u003cp\u003e8.25.2 Online random number sources \u003c\/p\u003e \u003cp\u003e8.26 Example Algorithm Vectors \u003c\/p\u003e \u003cp\u003e8.26.1 SP800-90A CTR DRBG 128 \u0026amp; 256 \u003c\/p\u003e \u003cp\u003e8.26.2 SP800-90A Hash DRBG SHA-1 \u0026amp; SHA 256 \u003c\/p\u003e \u003cp\u003e8.26.3 AES-CBC-MAC Conditioner 128 \u003c\/p\u003e \u003cp\u003e8.26.4 AES-CBC-MAC Conditioner \u003c\/p\u003e \u003cp\u003e8.27 SP800-90 LZ Tests Issues \u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":48885907489111,"sku":"9781501515132","price":64.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781501515132.jpg?v=1722538120"},{"product_id":"an-essential-guide-to-fuzzy-systems-9781536161281","title":"An Essential Guide to Fuzzy Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe recent development of the fuzzy set theory has given scientists the opportunity to model under conditions which are vague or not precisely defined, thus succeeding to solve mathematically problems whose statements are expressed in our natural language. Since Zadeh introduced the concept of fuzzy set in 1965, many efforts have been made by specialists for improving its effectiveness to deal with uncertain, ambiguous and vague situations. As a result a series of extensions and generalizations of the ordinary fuzzy set followed and several theories have been proposed as alternatives to the fuzzy set theory. The spectre of applications of those theories has been rapidly expanded during the last years covering physical sciences, economics and management, expert systems like financial planners, diagnostic, meteorological, information-retrieval, control systems, etc, industry, robotics, decision making, programming, medicine, biology, humanities, education and almost all the other sectors of the human activity, including human reasoning itself. The target of the present book is to become an essential guide to fuzzy sets and systems and to related theories. The whole book consists of ten chapters and a shorter commentary. It starts from the history and an introduction to fuzzy sets and logic and from a brief exposition of related theories. The management of the uncertainty in fuzzy environment as well as the evaluation of fuzzy data, frequently appearing nowadays in science and technology, are also studied. Assessment methods are presented using tools such as triangular fuzzy numbers, fuzzy relation equations and the grey system theory. An introduction to the theory of fuzzy graphs, a review of the hybrids of neural networks and fuzzy logic and an introduction to single valued neutrosophic numbers and the granular calculus of single valued neutrosophic functions are also contained among the topics of the book. More specialized topics include the controllability of non linear fuzzy fractional differential systems, the use of fuzzy probability and fuzzy possibility theory for integrating the voltage sag type detection of electrical networks, the presentation of an algorithm to highlight the importance of using statistical methods in pattern recognition, the study of the known from Physics Goursat problem for a fuzzy hyperbolic equation under the fractional Caputo g-derivative for fuzzy-valued multivariable functions an a hybrid fuzzy potential field method for the navigation of Sumo robots. It is hoped that all the above information can provide a framework to the readers of the book that enable them to proceed to a deeper study of fuzzy systems and the related to them theories.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886140862807,"sku":"9781536161281","price":163.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781536161281.jpg?v=1722538962"},{"product_id":"contemporary-algorithms-for-solving-problems-in-economics-and-other-disciplines-9781536181289","title":"Contemporary Algorithms for Solving Problems in","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNumerous problems from diverse disciplines can be converted using mathematical modelling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space or Hilbert space or Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use algorithms which seems to be the only alternative. Due to the explosion of technology, scientific and parallel computing, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. There is exactly where we come in with our book containing such algorithms with application especially in problems from Economics but also from other areas such as Mathematical: Biology, Chemistry, Physics, Scientific, Parallel Computing, and also Engineering. The book can be used by senior undergraduate students, graduate students, researchers and practitioners in the aforementioned area in the classroom or as a reference material. Readers should know the fundamentals of numerical functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to the readers.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; Definition, Existence and Uniqueness of Equilibrium in Oligopoly Markets; Numerical Methodology for Solving Oligopoly Problems; Global Convergence of Iterative Methods with Inverses; Ball Convergence of Third and Fourth Order Methods for Multiple Zeros; Local Convergence of Two Methods for Multiple Roots Eight Order; Choosing the Initial Points for Newtons Method; Extending the Applicability of an Ulm-Like Method under Weak Conditions; Projection Methods for Solving Equations with a Non-differentiable Term; Efficient Seventh Order of Convergence Solver; An Extended Result of Rall-Type for Newtons Method; Extension of Newtons Method for Cone Valued Operators; Inexact Newtons Method under Robinsons Condition; Newtons Method for Generalized Equations with Monotone Operators; Convergence of Newtons method and uniqueness of the solution for Banach Space Valued Equations; Convergence of Newtons method and uniqueness of the solution for Banach Space Valued Equations II; Extended Gauss-Newton Method: Convergence and Uniqueness Results; Newtons Method for Variational Problems: Wangs g-condition and Smales a-theory; Extending the Applicability of Newtons Method; On the Convergence of a Derivative Free Method using Recurrent Functions; Inexact Newton-like Method under Weak Lipschitz Conditions; Ball Convergence Theorem for Inexact Newton Methods in Banach Space; Extending the Semi-Local Convergence of a Stirling-Type Method; Newtons Method for Systems of Equations with Constant Rank Derivatives; Extended Super-Halley Method; Chebyshev-Type Method of Order Three; Extended Semi-Local Convergence of the Chebyshev-Halley Method; Gauss-Newton-Type Schemes for Undetermined Least Squares Problems; Glossary of Symbols.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886176285015,"sku":"9781536181289","price":138.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781536181289.jpg?v=1722539094"},{"product_id":"an-introduction-to-error-analysis-third-edition-the-study-of-uncertainties-in-physical-measurements-9781940380087","title":"An Introduction to Error Analysis, third edition:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis remarkable text by John R. Taylor has been a non-stop best-selling international hit since it was first published forty years ago. However, the two-plus decades since the second edition was released have seen two dramatic developments; the huge rise in popularity of Bayesian statistics, and the continued increase in the power and availability of computers and calculators. In response to the former, Taylor has added a full chapter dedicated to Bayesian thinking, introducing conditional probabilities and Bayes’ theorem. The several examples presented in the new third edition are intentionally very simple, designed to give readers a clear understanding of what Bayesian statistics is all about as their first step on a journey to become practicing Bayesians. In response to the second development, Taylor has added a number of chapter-ending problems that will encourage readers to learn how to solve problems using computers. While many of these can be solved using programs such as Matlab or Mathematica, almost all of them are stated to apply to commonly available spreadsheet programs like Microsoft Excel. These programs provide a convenient way to record and process data and to calculate quantities like standard deviations, correlation coefficients, and normal distributions; they also have the wonderful ability – if students construct their own spreadsheets and avoid the temptation to use built-in functions – to teach the meaning of these concepts.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe new chapter on Bayesian statistics is extremely clear and well written, and is another one of John Taylor’s fabulous expositions. I enjoyed how Taylor develops the subject by using it to answer questions about the effectiveness of a vaccine. Before reading this chapter I wondered what assumptions are needed to derive a numerical value for a vaccine’s effectiveness, and I also wondered about the data needed and the methods used. Lo and behold, all my questions were answered in this chapter! I definitely will buy the new edition of Error Analysis and I look forward to delving into the Bayesian statistics. -- Mark Semon, Bates College\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePART I\u003c\/b\u003e\u003cbr\u003e 1. Preliminary Description of Error Analysis\u003cbr\u003e 2. How to Report and Use Uncertainties\u003cbr\u003e 3. Propagation of Uncertainties\u003cbr\u003e 4. Statistical Analysis of Random Uncertainties\u003cbr\u003e 5. The Normal Distribution\u003cbr\u003e\u003cbr\u003e  \u003cb\u003ePART II\u003c\/b\u003e\u003cbr\u003e 6. Rejection of Data\u003cbr\u003e 7. Weighted Averages\u003cbr\u003e 8. Least-Squares Fitting\u003cbr\u003e 9. Covariance and Correlation\u003cbr\u003e 10. The Binomial Distribution\u003cbr\u003e 11. The Poisson Distribution\u003cbr\u003e 12. The Chi-Squared Test for a Distribution\u003cbr\u003e 13. Bayesian Statistics\u003cbr\u003e\u003cbr\u003e  \u003cb\u003eAPPENDICES\u003c\/b\u003e\u003cbr\u003e A. Normal Error Integral, I\u003cbr\u003e B. Normal Error Integral, II\u003cbr\u003e C. Probabilities for Correlation Coefficients\u003cbr\u003e D. Probabilities for Chi Squared\u003cbr\u003e E. Two Proofs Concerning Sample Standard Deviations\u003cbr\u003e Answers to Quick Checks and Odd-Numbered Problems\u003cbr\u003e Index","brand":"University Science Books,U.S.","offers":[{"title":"Default Title","offer_id":48888802640215,"sku":"9781940380087","price":73.94,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781940380087.jpg?v=1722551222"},{"product_id":"monte-carlo-simulations-using-microsoft-excel-9783031338885","title":"Monte Carlo Simulations Using Microsoft EXCEL","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMonte Carlo simulation has been a powerful computational tool for physics models, and when combined with the programming language Excel, this book is a valuable resource for readers who wish to acquire knowledge that can be applied to more complex systems.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48889016811863,"sku":"9783031338885","price":49.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031338885.jpg?v=1722552280"},{"product_id":"interpolatory-methods-for-model-reduction-9781611976076","title":"Interpolatory Methods for Model Reduction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. \u003cbr\u003e\u003cbr\u003eInterpolatory methods are among the most widely used model reduction techniques, and \u003ci\u003eInterpolatory Methods for Model Reduction\u003c\/i\u003e is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.\u003cbr\u003e\u003cbr\u003eThis textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.","brand":"Society for Industrial \u0026 Applied Mathematics,U.S.","offers":[{"title":"Default Title","offer_id":49084187181399,"sku":"9781611976076","price":76.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781611976076.jpg?v=1725551331"},{"product_id":"introduction-to-unconstrained-optimization-with-r-9789811508936","title":"Introduction to Unconstrained Optimization with R","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book discusses unconstrained optimization with R—a free, open-source computing environment, which works on several platforms, including Windows, Linux, and macOS. The book highlights methods such as the steepest descent method, Newton method, conjugate direction method, conjugate gradient methods, quasi-Newton methods, rank one correction formula, DFP method, BFGS method and their algorithms, convergence analysis, and proofs. Each method is accompanied by worked examples and R scripts. To help readers apply these methods in real-world situations, the book features a set of exercises at the end of each chapter. Primarily intended for graduate students of applied mathematics, operations research and statistics, it is also useful for students of mathematics, engineering, management, economics, and agriculture.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction.- 2. Mathematical Foundations.- 3. Basics of \u003cb\u003eR.\u003c\/b\u003e- 4. First Order and Second Order Necessary Conditions.- 5. One Dimensional Optimization Methods.- 6. Steepest Descent Method.- 7. Newton’s Method.- 8. Conjugate Direction Methods.- 9. Quasi-Newton Methods.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":49084933931351,"sku":"9789811508936","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811508936.jpg?v=1725553789"},{"product_id":"elementary-numerical-mathematics-for-programmers-and-engineers-9783031660887","title":"Elementary Numerical Mathematics for Programmers","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Birkhäuser","offers":[{"title":"Default Title","offer_id":49372692808023,"sku":"9783031660887","price":35.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031660887.jpg?v=1730163831"},{"product_id":"algorithmic-problem-solving-9780470684535","title":"Algorithmic Problem Solving","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e* Novel approach to the mathematics of problem solving, in particular how to do logical calculations.    * Many of the problems are well-known from (mathematical) puzzle books.    * The solution method in the book is new and more relevant to the true nature of problem solving in the modern IT-dominated world.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART I Algorithmic Problem Solving 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 1 – Introduction 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Algorithms 3\u003c\/p\u003e \u003cp\u003e1.2 Algorithmic Problem Solving 4\u003c\/p\u003e \u003cp\u003e1.3 Overview 5\u003c\/p\u003e \u003cp\u003e1.4 Bibliographic Remarks 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 2 – Invariants 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Chocolate Bars 10\u003c\/p\u003e \u003cp\u003e2.1.1 The Solution 10\u003c\/p\u003e \u003cp\u003e2.1.2 The Mathematical Solution 11\u003c\/p\u003e \u003cp\u003e2.2 Empty Boxes 16\u003c\/p\u003e \u003cp\u003e2.2.1 Review 19\u003c\/p\u003e \u003cp\u003e2.3 The Tumbler Problem 22\u003c\/p\u003e \u003cp\u003e2.3.1 Non-deterministic Choice 23\u003c\/p\u003e \u003cp\u003e2.4 Tetrominoes 24\u003c\/p\u003e \u003cp\u003e2.5 Summary 30\u003c\/p\u003e \u003cp\u003e2.6 Bibliographic Remarks 34\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 3 – Crossing a River 35\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Problems 36\u003c\/p\u003e \u003cp\u003e3.2 Brute Force 37\u003c\/p\u003e \u003cp\u003e3.2.1 Goat, Cabbage and Wolf 37\u003c\/p\u003e \u003cp\u003e3.2.2 State-Space Explosion 39\u003c\/p\u003e \u003cp\u003e3.2.3 Abstraction 41\u003c\/p\u003e \u003cp\u003e3.3 Nervous Couples 42\u003c\/p\u003e \u003cp\u003e3.3.1 What Is the Problem? 42\u003c\/p\u003e \u003cp\u003e3.3.2 Problem Structure 43\u003c\/p\u003e \u003cp\u003e3.3.3 Denoting States and Transitions 44\u003c\/p\u003e \u003cp\u003e3.3.4 Problem Decomposition 45\u003c\/p\u003e \u003cp\u003e3.3.5 A Review 48\u003c\/p\u003e \u003cp\u003e3.4 Rule of Sequential Composition 50\u003c\/p\u003e \u003cp\u003e3.5 The Bridge Problem 54\u003c\/p\u003e \u003cp\u003e3.6 Conditional Statements 63\u003c\/p\u003e \u003cp\u003e3.7 Summary 65\u003c\/p\u003e \u003cp\u003e3.8 Bibliographic Remarks 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 4 – Games 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Matchstick Games 67\u003c\/p\u003e \u003cp\u003e4.2 Winning Strategies 69\u003c\/p\u003e \u003cp\u003e4.2.1 Assumptions 69\u003c\/p\u003e \u003cp\u003e4.2.2 Labelling Positions 70\u003c\/p\u003e \u003cp\u003e4.2.3 Formulating Requirements 72\u003c\/p\u003e \u003cp\u003e4.3 Subtraction-Set Games 74\u003c\/p\u003e \u003cp\u003e4.4 Sums of Games 78\u003c\/p\u003e \u003cp\u003e4.4.1 A Simple Sum Game 79\u003c\/p\u003e \u003cp\u003e4.4.2 Maintain Symmetry! 81\u003c\/p\u003e \u003cp\u003e4.4.3 More Simple Sums 82\u003c\/p\u003e \u003cp\u003e4.4.4 Evaluating Positions 83\u003c\/p\u003e \u003cp\u003e4.4.5 Using the Mex Function 87\u003c\/p\u003e \u003cp\u003e4.5 Summary 91\u003c\/p\u003e \u003cp\u003e4.6 Bibliographic Remarks 92\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 5 – Knights and Knaves 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Logic Puzzles 95\u003c\/p\u003e \u003cp\u003e5.2 Calculational Logic 96\u003c\/p\u003e \u003cp\u003e5.2.1 Propositions 96\u003c\/p\u003e \u003cp\u003e5.2.2 Knights and Knaves 97\u003c\/p\u003e \u003cp\u003e5.2.3 Boolean Equality 98\u003c\/p\u003e \u003cp\u003e5.2.4 Hidden Treasures 100\u003c\/p\u003e \u003cp\u003e5.2.5 Equals for Equals 101\u003c\/p\u003e \u003cp\u003e5.3 Equivalence and Continued Equalities 102\u003c\/p\u003e \u003cp\u003e5.3.1 Examples of the Associativity of Equivalence 104\u003c\/p\u003e \u003cp\u003e5.3.2 On Natural Language 105\u003c\/p\u003e \u003cp\u003e5.4 Negation 106\u003c\/p\u003e \u003cp\u003e5.4.1 Contraposition 109\u003c\/p\u003e \u003cp\u003e5.4.2 Handshake Problems 112\u003c\/p\u003e \u003cp\u003e5.4.3 Inequivalence 113\u003c\/p\u003e \u003cp\u003e5.5 Summary 117\u003c\/p\u003e \u003cp\u003e5.6 Bibliographic Remarks 117\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 6 – Induction 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Example Problems 120\u003c\/p\u003e \u003cp\u003e6.2 Cutting the Plane 123\u003c\/p\u003e \u003cp\u003e6.3 Triominoes 126\u003c\/p\u003e \u003cp\u003e6.4 Looking for Patterns 128\u003c\/p\u003e \u003cp\u003e6.5 The Need for Proof 129\u003c\/p\u003e \u003cp\u003e6.6 From Verification to Construction 130\u003c\/p\u003e \u003cp\u003e6.7 Summary 134\u003c\/p\u003e \u003cp\u003e6.8 Bibliographic Remarks 134\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 7 – Fake-Coin Detection 137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Problem Formulation 137\u003c\/p\u003e \u003cp\u003e7.2 Problem Solution 139\u003c\/p\u003e \u003cp\u003e7.2.1 The Basis 139\u003c\/p\u003e \u003cp\u003e7.2.2 Induction Step 139\u003c\/p\u003e \u003cp\u003e7.2.3 The Marked-Coin Problem 140\u003c\/p\u003e \u003cp\u003e7.2.4 The Complete Solution 141\u003c\/p\u003e \u003cp\u003e7.3 Summary 146\u003c\/p\u003e \u003cp\u003e7.4 Bibliographic Remarks 146\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 8 – The Tower of Hanoi 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Specification and Solution 147\u003c\/p\u003e \u003cp\u003e8.1.1 The End of the World! 147\u003c\/p\u003e \u003cp\u003e8.1.2 Iterative Solution 148\u003c\/p\u003e \u003cp\u003e8.1.3 Why? 149\u003c\/p\u003e \u003cp\u003e8.2 Inductive Solution 149\u003c\/p\u003e \u003cp\u003e8.3 The Iterative Solution 153\u003c\/p\u003e \u003cp\u003e8.4 Summary 156\u003c\/p\u003e \u003cp\u003e8.5 Bibliographic Remarks 156\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 9 – Principles of Algorithm Design 157\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Iteration, Invariants and Making Progress 158\u003c\/p\u003e \u003cp\u003e9.2 A Simple Sorting Problem 160\u003c\/p\u003e \u003cp\u003e9.3 Binary Search 163\u003c\/p\u003e \u003cp\u003e9.4 Sam Loyd’s Chicken-Chasing Problem 166\u003c\/p\u003e \u003cp\u003e9.4.1 Cornering the Prey 170\u003c\/p\u003e \u003cp\u003e9.4.2 Catching the Prey 174\u003c\/p\u003e \u003cp\u003e9.4.3 Optimality 176\u003c\/p\u003e \u003cp\u003e9.5 Projects 177\u003c\/p\u003e \u003cp\u003e9.6 Summary 178\u003c\/p\u003e \u003cp\u003e9.7 Bibliographic Remarks 180\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 10 – The Bridge Problem 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Lower and Upper Bounds 183\u003c\/p\u003e \u003cp\u003e10.2 Outline Strategy 185\u003c\/p\u003e \u003cp\u003e10.3 Regular Sequences 187\u003c\/p\u003e \u003cp\u003e10.4 Sequencing Forward Trips 189\u003c\/p\u003e \u003cp\u003e10.5 Choosing Settlers and Nomads 193\u003c\/p\u003e \u003cp\u003e10.6 The Algorithm 196\u003c\/p\u003e \u003cp\u003e10.7 Summary 199\u003c\/p\u003e \u003cp\u003e10.8 Bibliographic Remarks 200\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 11 – Knight’s Circuit 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Straight-Move Circuits 202\u003c\/p\u003e \u003cp\u003e11.2 Supersquares 206\u003c\/p\u003e \u003cp\u003e11.3 Partitioning the Board 209\u003c\/p\u003e \u003cp\u003e11.4 Summary 216\u003c\/p\u003e \u003cp\u003e11.5 Bibliographic Remarks 218\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART II Mathematical Techniques 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 12 – The Language of Mathematics 221\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Variables, Expressions and Laws 222\u003c\/p\u003e \u003cp\u003e12.2 Sets 224\u003c\/p\u003e \u003cp\u003e12.2.1 The Membership Relation 224\u003c\/p\u003e \u003cp\u003e12.2.2 The Empty Set 224\u003c\/p\u003e \u003cp\u003e12.2.3 Types\/Universes 224\u003c\/p\u003e \u003cp\u003e12.2.4 Union and Intersection 225\u003c\/p\u003e \u003cp\u003e12.2.5 Set Comprehension 225\u003c\/p\u003e \u003cp\u003e12.2.6 Bags 227\u003c\/p\u003e \u003cp\u003e12.3 Functions 227\u003c\/p\u003e \u003cp\u003e12.3.1 Function Application 228\u003c\/p\u003e \u003cp\u003e12.3.2 Binary Operators 230\u003c\/p\u003e \u003cp\u003e12.3.3 Operator Precedence 230\u003c\/p\u003e \u003cp\u003e12.4 Types and Type Checking 232\u003c\/p\u003e \u003cp\u003e12.4.1 Cartesian Product and Disjoint Sum 233\u003c\/p\u003e \u003cp\u003e12.4.2 Function Types 235\u003c\/p\u003e \u003cp\u003e12.5 Algebraic Properties 236\u003c\/p\u003e \u003cp\u003e12.5.1 Symmetry 237\u003c\/p\u003e \u003cp\u003e12.5.2 Zero and Unit 238\u003c\/p\u003e \u003cp\u003e12.5.3 Idempotence 239\u003c\/p\u003e \u003cp\u003e12.5.4 Associativity 240\u003c\/p\u003e \u003cp\u003e12.5.5 Distributivity\/Factorisation 241\u003c\/p\u003e \u003cp\u003e12.5.6 Algebras 243\u003c\/p\u003e \u003cp\u003e12.6 Boolean Operators 244\u003c\/p\u003e \u003cp\u003e12.7 Binary Relations 246\u003c\/p\u003e \u003cp\u003e12.7.1 Reflexivity 247\u003c\/p\u003e \u003cp\u003e12.7.2 Symmetry 248\u003c\/p\u003e \u003cp\u003e12.7.3 Converse 249\u003c\/p\u003e \u003cp\u003e12.7.4 Transitivity 249\u003c\/p\u003e \u003cp\u003e12.7.5 Anti-symmetry 251\u003c\/p\u003e \u003cp\u003e12.7.6 Orderings 252\u003c\/p\u003e \u003cp\u003e12.7.7 Equality 255\u003c\/p\u003e \u003cp\u003e12.7.8 Equivalence Relations 256\u003c\/p\u003e \u003cp\u003e12.8 Calculations 257\u003c\/p\u003e \u003cp\u003e12.8.1 Steps in a Calculation 259\u003c\/p\u003e \u003cp\u003e12.8.2 Relations between Steps 260\u003c\/p\u003e \u003cp\u003e12.8.3 ‘‘If’’ and ‘‘Only If’’ 262\u003c\/p\u003e \u003cp\u003e12.9 Exercises 264\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 13 – Boolean Algebra 267\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Boolean Equality 267\u003c\/p\u003e \u003cp\u003e13.2 Negation 269\u003c\/p\u003e \u003cp\u003e13.3 Disjunction 270\u003c\/p\u003e \u003cp\u003e13.4 Conjunction 271\u003c\/p\u003e \u003cp\u003e13.5 Implication 274\u003c\/p\u003e \u003cp\u003e13.5.1 Definitions and Basic Properties 275\u003c\/p\u003e \u003cp\u003e13.5.2 Replacement Rules 276\u003c\/p\u003e \u003cp\u003e13.6 Set Calculus 279\u003c\/p\u003e \u003cp\u003e13.7 Exercises 281\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 14 – Quantifiers 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 DotDotDot and Sigmas 285\u003c\/p\u003e \u003cp\u003e14.2 Introducing Quantifier Notation 286\u003c\/p\u003e \u003cp\u003e14.2.1 Summation 287\u003c\/p\u003e \u003cp\u003e14.2.2 Free and Bound Variables 289\u003c\/p\u003e \u003cp\u003e14.2.3 Properties of Summation 291\u003c\/p\u003e \u003cp\u003e14.2.4 Warning 297\u003c\/p\u003e \u003cp\u003e14.3 Universal and Existential Quantification 297\u003c\/p\u003e \u003cp\u003e14.3.1 Universal Quantification 298\u003c\/p\u003e \u003cp\u003e14.3.2 Existential Quantification 300\u003c\/p\u003e \u003cp\u003e14.4 Quantifier Rules 301\u003c\/p\u003e \u003cp\u003e14.4.1 The Notation 302\u003c\/p\u003e \u003cp\u003e14.4.2 Free and Bound Variables 303\u003c\/p\u003e \u003cp\u003e14.4.3 Dummies 303\u003c\/p\u003e \u003cp\u003e14.4.4 Range Part 303\u003c\/p\u003e \u003cp\u003e14.4.5 Trading 304\u003c\/p\u003e \u003cp\u003e14.4.6 Term Part 304\u003c\/p\u003e \u003cp\u003e14.4.7 Distributivity Properties 304\u003c\/p\u003e \u003cp\u003e14.5 Exercises 306\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 15 – Elements of Number Theory 309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Inequalities 309\u003c\/p\u003e \u003cp\u003e15.2 Minimum and Maximum 312\u003c\/p\u003e \u003cp\u003e15.3 The Divides Relation 315\u003c\/p\u003e \u003cp\u003e15.4 Modular Arithmetic 316\u003c\/p\u003e \u003cp\u003e15.4.1 Integer Division 316\u003c\/p\u003e \u003cp\u003e15.4.2 Remainders and Modulo Arithmetic 320\u003c\/p\u003e \u003cp\u003e15.5 Exercises 322\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 16 – Relations, Graphs and Path Algebras 325\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Paths in a Directed Graph 325\u003c\/p\u003e \u003cp\u003e16.2 Graphs and Relations 328\u003c\/p\u003e \u003cp\u003e16.2.1 Relation Composition 330\u003c\/p\u003e \u003cp\u003e16.2.2 Union of Relations 332\u003c\/p\u003e \u003cp\u003e16.2.3 Transitive Closure 334\u003c\/p\u003e \u003cp\u003e16.2.4 Reflexive Transitive Closure 338\u003c\/p\u003e \u003cp\u003e16.3 Functional and Total Relations 339\u003c\/p\u003e \u003cp\u003e16.4 Path-Finding Problems 341\u003c\/p\u003e \u003cp\u003e16.4.1 Counting Paths 341\u003c\/p\u003e \u003cp\u003e16.4.2 Frequencies 343\u003c\/p\u003e \u003cp\u003e16.4.3 Shortest Distances 344\u003c\/p\u003e \u003cp\u003e16.4.4 All Paths 345\u003c\/p\u003e \u003cp\u003e16.4.5 Semirings and Operations on Graphs 347\u003c\/p\u003e \u003cp\u003e16.5 Matrices 351\u003c\/p\u003e \u003cp\u003e16.6 Closure Operators 353\u003c\/p\u003e \u003cp\u003e16.7 Acyclic Graphs 354\u003c\/p\u003e \u003cp\u003e16.7.1 Topological Ordering 355\u003c\/p\u003e \u003cp\u003e16.8 Combinatorics 357\u003c\/p\u003e \u003cp\u003e16.8.1 Basic Laws 358\u003c\/p\u003e \u003cp\u003e16.8.2 Counting Choices 359\u003c\/p\u003e \u003cp\u003e16.8.3 Counting Paths 361\u003c\/p\u003e \u003cp\u003e16.9 Exercises 366\u003c\/p\u003e \u003cp\u003eSolutions to Exercises 369\u003c\/p\u003e \u003cp\u003eReferences 405\u003c\/p\u003e \u003cp\u003eIndex 407\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402409681239,"sku":"9780470684535","price":41.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470684535.jpg?v=1730480314"},{"product_id":"the-elements-of-integration-and-lebesgue-measure-9780471042228","title":"The Elements of Integration and Lebesgue Measure","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDesigned to present the chief results of the Lebesgue theory of integration, this textbook provides students with detailed coverage of the main ideas of the Lebesgue measure. The approach is particularly well suited for students of analysis, probability and statistics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTHE ELEMENTS OF INTEGRATION.\u003cbr\u003e \u003cbr\u003e Measurable Functions.\u003cbr\u003e \u003cbr\u003e Measures.\u003cbr\u003e \u003cbr\u003e The Integral.\u003cbr\u003e \u003cbr\u003e Integrable Functions.\u003cbr\u003e \u003cbr\u003e The Lebesgue Spaces Lp.\u003cbr\u003e \u003cbr\u003e Modes of Convergence.\u003cbr\u003e \u003cbr\u003e Decomposition of Measures.\u003cbr\u003e \u003cbr\u003e Generation of Measures.\u003cbr\u003e \u003cbr\u003e Product Measures.\u003cbr\u003e \u003cbr\u003e THE ELEMENTS OF LEBESGUE MEASURE.\u003cbr\u003e \u003cbr\u003e Volumes of Cells and Intervals.\u003cbr\u003e \u003cbr\u003e The Outer Measure.\u003cbr\u003e \u003cbr\u003e Measurable Sets.\u003cbr\u003e \u003cbr\u003e Examples of Measurable Sets.\u003cbr\u003e \u003cbr\u003e Approximation of Measurable Sets.\u003cbr\u003e \u003cbr\u003e Additivity and Nonadditivity.\u003cbr\u003e \u003cbr\u003e Nonmeasurable and Non-Borel Sets.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402480886103,"sku":"9780471042228","price":126.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471042228.jpg?v=1730480540"},{"product_id":"theoretical-fluid-dynamics-9780471056591","title":"Theoretical Fluid Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis introduction to a wide range of theoretical studies in fluid dynamics, covers a great deal of material and offers updated information on topics such as stability and turbulence. It surveys nearly the entire field of classical fluid dynamics and discusses the various conceptual and analytical models of fluid flow.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"I know of no other modern book in theoretical fluid dynamics that covers so much material so well.\" (\u003ci\u003ePhysics Today\u003c\/i\u003e, November 1998)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eReview of Basic Concepts and Equations of Fluid Dynamics.\u003cbr\u003e \u003cbr\u003e Dynamics of Inviscid Incompressible Fluid Flows.\u003cbr\u003e \u003cbr\u003e Dynamics of Inviscid Compressible Fluid Flows.\u003cbr\u003e \u003cbr\u003e Dynamics of Viscous Fluid Flows.\u003cbr\u003e \u003cbr\u003e Hydrodynamic Stability.\u003cbr\u003e \u003cbr\u003e Dynamics of Turbulence.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402483638615,"sku":"9780471056591","price":177.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471056591.jpg?v=1730480545"},{"product_id":"fitting-equations-to-data-9780471376842","title":"Fitting Equations to Data","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis revised and updated volume describes methods fundamental to the theory and explanation of data analysis. This edition includes extensions and devices such as component and component-plus residual plots, cross-verification with a second sample and an index of required x-precision.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...a grand historical document for industrial statistics in its glory days, as its selection for the Classics Library implies.\" --Technometrics Vol. 42, No. 4 May 2001\u003cbr\u003e \u003cbr\u003e This book provides an excellent insight into the minds of two master craftsmen at work. I very much applaud the decision to include this in a \"classics library\" and would encourage more authors to produce statistics books in the same vein, i.e. focused on the practical application of the subject rather than methodology development. Anyone involved in the analysis of unbalanced multifactor dtaa will find this book an extremely useful source of practical advice. --The Statistician 50 (1) 2001.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAssumptions and Methods of Fitting Equations.\u003cbr\u003e \u003cbr\u003e One Independent Variable.\u003cbr\u003e \u003cbr\u003e Two or More Independent Variables.\u003cbr\u003e \u003cbr\u003e Fitting an Equation in Three Independent Variables.\u003cbr\u003e \u003cbr\u003e Selection of Independent Variables.\u003cbr\u003e \u003cbr\u003e Some Consequences of the Disposition of the Data Points.\u003cbr\u003e \u003cbr\u003e Selection of Variables in Nested Data.\u003cbr\u003e \u003cbr\u003e Nonlinear Least Squares, a Complex Example.\u003cbr\u003e \u003cbr\u003e Glossary.\u003cbr\u003e \u003cbr\u003e User's Manual.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402577650007,"sku":"9780471376842","price":124.15,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471376842.jpg?v=1730480821"},{"product_id":"numerical-methods-design-analysis-and-computer-implementation-of-algorithms-9780691151229","title":"Numerical Methods  Design Analysis and Computer","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Distinguishing features are the inclusion of many recent applications of numerical methods and the extensive discussion of methods based on Chebyshev interpolation. This book would be suitable for use in courses aimed at advanced undergraduate students in mathematics, the sciences, and engineering.\"--Choice \"An instructor could assemble several different one-semester courses using this book--numerical linear algebra and interpolation, or numerical solutions of differential equations--or perhaps a two-semester sequence. This is a charming book, well worth consideration for the next numerical analysis course.\"--William J. Satzer, MAA Focus\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xiii   Chapter 1: MATHEMATICAL MODELING 1 1.1 Modeling in Computer Animation 2 1.1.1 A Model Robe 2 1.2 Modeling in Physics: Radiation Transport 4 1.3 Modeling in Sports 6 1.4 Ecological Models 8 1.5 Modeling a Web Surfer and Google 11 1.5.1 The Vector Space Model 11 1.5.2 Google's PageRank 13 1.6 Chapter 1 Exercises 14   Chapter 2: BASIC OPERATIONS WITH MATLAB 19 2.1 Launching MATLAB 19 2.2 Vectors 20 2.3 Getting Help 22 2.4 Matrices 23 2.5 Creating and Running .m Files 24 2.6 Comments 25 2.7 Plotting 25 2.8 Creating Your Own Functions 27 2.9 Printing 28 2.10 More Loops and Conditionals 29 2.11 Clearing Variables 31 2.12 Logging Your Session 31 2.13 More Advanced Commands 31 2.14 Chapter 2 Exercises 32   Chapter 3: MONTE CARLO METHODS 41 3.1 A Mathematical Game of Cards 41 3.1.1 The Odds in Texas Holdem 42 3.2 Basic Statistics 46 3.2.1 Discrete Random Variables 48 3.2.2 Continuous Random Variables 51 3.2.3 The Central Limit Theorem 53 3.3 Monte Carlo Integration 56 3.3.1 Buffon's Needle 56 3.3.2 Estimating pi 58 3.3.3 Another Example of Monte Carlo Integration 60 3.4 Monte Carlo Simulation of Web Surfing 64 3.5 Chapter 3 Exercises 67   Chapter 4: SOLUTION OF A SINGLE NONLINEAR EQUATION IN ONE UNKNOWN 71 4.1 Bisection 75 4.2 Taylor's Theorem 80 4.3 Newton's Method 83 4.4 Quasi-Newton Methods 89 4.4.1 Avoiding Derivatives 89 4.4.2 Constant Slope Method 89 4.4.3 Secant Method 90 4.5 Analysis of Fixed Point Methods 93 4.6 Fractals, Julia Sets, and Mandelbrot Sets 98 4.7 Chapter 4 Exercises 102   Chapter 5: FLOATING-POINT ARITHMETIC 107 5.1 Costly Disasters Caused by Rounding Errors 108 5.2 Binary Representation and Base 2 Arithmetic 110 5.3 Floating-Point Representation 112 5.4 IEEE Floating-Point Arithmetic 114 5.5 Rounding 116 5.6 Correctly Rounded Floating-Point Operations 118 5.7 Exceptions 119 5.8 Chapter 5 Exercises 120   Chapter 6: CONDITIONING OF PROBLEMS; STABILITY OF ALGORITHMS 124 6.1 Conditioning of Problems 125 6.2 Stability of Algorithms 126 6.3 Chapter 6 Exercises 129   Chapter 7: DIRECT METHODS FOR SOLVING LINEAR SYSTEMS AND LEAST SQUARES PROBLEMS 131 7.1 Review of Matrix Multiplication 132 7.2 Gaussian Elimination 133 7.2.1 Operation Counts 137 7.2.2 LU Factorization 139 7.2.3 Pivoting 141 7.2.4 Banded Matrices and Matrices for Which Pivoting Is Not Required 144 7.2.5 Implementation Considerations for High Performance 148 7.3 Other Methods for Solving Ax = b 151 7.4 Conditioning of Linear Systems 154 7.4.1 Norms 154 7.4.2 Sensitivity of Solutions of Linear Systems 158 7.5 Stability of Gaussian Elimination with Partial Pivoting 164 7.6 Least Squares Problems 166 7.6.1 The Normal Equations 167 7.6.2 QR Decomposition 168 7.6.3 Fitting Polynomials to Data 171 7.7 Chapter 7 Exercises 175   Chapter 8: POLYNOMIAL AND PIECEWISE POLYNOMIAL INTERPOLATION 181 8.1 The Vandermonde System 181 8.2 The Lagrange Form of the Interpolation Polynomial 181 8.3 The Newton Form of the Interpolation Polynomial 185 8.3.1 Divided Differences 187 8.4 The Error in Polynomial Interpolation 190 8.5 Interpolation at Chebyshev Points and chebfun 192 8.6 Piecewise Polynomial Interpolation 197 8.6.1 Piecewise Cubic Hermite Interpolation 200 8.6.2 Cubic Spline Interpolation 201 8.7 Some Applications 204 8.8 Chapter 8 Exercises 206   Chapter 9: NUMERICAL DIFFERENTIATION AND RICHARDSON EXTRAPOLATION 212 9.1 Numerical Differentiation 213 9.2 Richardson Extrapolation 221 9.3 Chapter 9 Exercises 225   Chapter 10: NUMERICAL INTEGRATION 227 10.1 Newton-Cotes Formulas 227 10.2 Formulas Based on Piecewise Polynomial Interpolation 232 10.3 Gauss Quadrature 234 10.3.1 Orthogonal Polynomials 236 10.4 Clenshaw-Curtis Quadrature 240 10.5 Romberg Integration 242 10.6 Periodic Functions and the Euler-Maclaurin Formula 243 10.7 Singularities 247 10.8 Chapter 10 Exercises 248   Chapter 11: NUMERICAL SOLUTION OF THE INITIAL VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS 251 11.1 Existence and Uniqueness of Solutions 253 11.2 One-Step Methods 257 11.2.1 Euler's Method 257 11.2.2 Higher-Order Methods Based on Taylor Series 262 11.2.3 Midpoint Method 262 11.2.4 Methods Based on Quadrature Formulas 264 11.2.5 Classical Fourth-Order Runge-Kutta and Runge-Kutta-Fehlberg Methods 265 11.2.6 An Example Using MATLAB's ODE Solver 267 11.2.7 Analysis of One-Step Methods 270 11.2.8 Practical Implementation Considerations 272 11.2.9 Systems of Equations 274 11.3 Multistep Methods 275 11.3.1 Adams-Bashforth and Adams-Moulton Methods 275 11.3.2 General Linear m-Step Methods 277 11.3.3 Linear Difference Equations 280 11.3.4 The Dahlquist Equivalence Theorem 283 11.4 Stiff Equations 284 11.4.1 Absolute Stability 285 11.4.2 Backward Differentiation Formulas (BDF Methods) 289 11.4.3 Implicit Runge-Kutta (IRK) Methods 290 11.5 Solving Systems of Nonlinear Equations in Implicit Methods 291 11.5.1 Fixed Point Iteration 292 11.5.2 Newton's Method 293 11.6 Chapter 11 Exercises 295   Chapter 12: MORE NUMERICAL LINEAR ALGEBRA: EIGENVALUES AND ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS 300 12.1 Eigenvalue Problems 300 12.1.1 The Power Method for Computing the Largest Eigenpair 310 12.1.2 Inverse Iteration 313 12.1.3 Rayleigh Quotient Iteration 315 12.1.4 The QR Algorithm 316 12.1.5 Google's PageRank 320 12.2 Iterative Methods for Solving Linear Systems 327 12.2.1 Basic Iterative Methods for Solving Linear Systems 327 12.2.2 Simple Iteration 328 12.2.3 Analysis of Convergence 332 12.2.4 The Conjugate Gradient Algorithm 336 12.2.5 Methods for Nonsymmetric Linear Systems 334 12.3 Chapter 12 Exercises 345   Chapter 13: NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEMS 350 13.1 An Application: Steady-State Temperature Distribution 350 13.2 Finite Difference Methods 352 13.2.1 Accuracy 354 13.2.2 More General Equations and Boundary Conditions 360 13.3 Finite Element Methods 365 13.3.1 Accuracy 372 13.4 Spectral Methods 374 13.5 Chapter 13 Exercises 376   Chapter 14: NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS 379 14.1 Elliptic Equations 381 14.1.1 Finite Difference Methods 381 14.1.2 Finite Element Methods 386 14.2 Parabolic Equations 388 14.2.1 Semidiscretization and the Method of Lines 389 14.2.2 Discretization in Time 389 14.3 Separation of Variables 396 14.3.1 Separation of Variables for Difference Equations 400 14.4 Hyperbolic Equations 402 14.4.1 Characteristics 402 14.4.2 Systems of Hyperbolic Equations 403 14.4.3 Boundary Conditions 404 14.4.4 Finite Difference Methods 404 14.5 Fast Methods for Poisson's Equation 409 14.5.1 The Fast Fourier Transform 411 14.6 Multigrid Methods 414 14.7 Chapter 14 Exercises 418   APPENDIX A REVIEW OF LINEAR ALGEBRA 421 A.1 Vectors and Vector Spaces 421 A.2 Linear Independence and Dependence 422 A.3 Span of a Set of Vectors; Bases and Coordinates; Dimension of a Vector Space 423 A.4 The Dot Product; Orthogonal and Orthonormal Sets; the Gram-Schmidt Algorithm 423 A.5 Matrices and Linear Equations 425 A.6 Existence and Uniqueness of Solutions; the Inverse; Conditions for Invertibility 427 A.7 Linear Transformations; the Matrix of a Linear Transformation 431 A.8 Similarity Transformations; Eigenvalues and Eigenvectors 432 APPENDIX B TAYLOR'S THEOREM IN MULTIDIMENSIONS 436   References 439 Index 445","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403783905623,"sku":"9780691151229","price":76.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691151229.jpg?v=1730484535"},{"product_id":"acta-numerica-2023-volume-32-9781009419741","title":"ACTA Numerica 2023 Volume 32","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Low-rank tensor methods for partial differential equations Markus Bachmayr; 2. The virtual element method Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini and Alessandro Russo; 3. Floating-point arithmetic Sylvie Boldo, Claude-Pierre Jeannerod, Guillaume Melquiond and Jean-Michel Muller; 4. Compatible finite element methods for geophysical fluid dynamics Colin J. Cotter; 5. Control of port-Hamiltonian differential-algebraic systems and applications Volker Mehrmann and Benjamin Unger; 6. Overcoming the timescale barrier in molecular dynamics: transfer operators, variational principles and machine learning Christof Schütte, Stefan Klus and Carsten Hartmann; 7. Linear optimization over homogeneous matrix cones Levent Tunçel and Lieven Vandenberghe.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":49406649368919,"sku":"9781009419741","price":164.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781009419741.jpg?v=1730496634"},{"product_id":"learning-data-science-9781098113001","title":"Learning Data Science","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLearning Data Science is the first book to cover foundational skills in both programming and statistics that encompass the entire data science lifecycle: the process of collecting, wrangling, analyzing, and drawing conclusions from data.","brand":"O'Reilly Media","offers":[{"title":"Default Title","offer_id":49406791778647,"sku":"9781098113001","price":53.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781098113001.jpg?v=1730497123"},{"product_id":"the-finite-element-method-in-electromagnetics-9781118571361","title":"The Finite Element Method in Electromagnetics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eUseful in analyzing electromagnetic problems in a variety of engineering circumstances, the finite element method is a powerful simulation technique. This book explains the method's processes and techniques in careful, meticulous prose. It covers not only essential finite element method theory, but also its latest developments and applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xix \u003cp\u003ePreface to the First Edition xxiii\u003c\/p\u003e \u003cp\u003ePreface to the Second Edition xxvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Basic Electromagnetic Theory 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Brief Review of Vector Analysis 2\u003c\/p\u003e \u003cp\u003e1.2 Maxwell's Equations 4\u003c\/p\u003e \u003cp\u003e1.3 Scalar and Vector Potentials 6\u003c\/p\u003e \u003cp\u003e1.4 Wave Equations 7\u003c\/p\u003e \u003cp\u003e1.5 Boundary Conditions 8\u003c\/p\u003e \u003cp\u003e1.6 Radiation Conditions 11\u003c\/p\u003e \u003cp\u003e1.7 Fields in an Infinite Homogeneous Medium 11\u003c\/p\u003e \u003cp\u003e1.8 Huygen's Principle 13\u003c\/p\u003e \u003cp\u003e1.9 Radar Cross Sections 14\u003c\/p\u003e \u003cp\u003e1.10 Summary 15\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Introduction to the Finite Element Method 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Classical Methods for Boundary-Value Problems 17\u003c\/p\u003e \u003cp\u003e2.2 Simple Example 21\u003c\/p\u003e \u003cp\u003e2.3 Basic Steps of the Finite Element Method 27\u003c\/p\u003e \u003cp\u003e2.4 Alternative Presentation of the Finite Element Formulation 34\u003c\/p\u003e \u003cp\u003e2.5 Summary 36\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 One-Dimensional Finite Element Analysis 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Boundary-Value Problem 39\u003c\/p\u003e \u003cp\u003e3.2 Variational Formulation 40\u003c\/p\u003e \u003cp\u003e3.3 Finite Element Analysis 42\u003c\/p\u003e \u003cp\u003e3.4 Plane-Wave Reflection by a Metal-Backed Dielectric Slab 53\u003c\/p\u003e \u003cp\u003e3.5 Scattering by a Smooth, Convex Impedance Cylinder 59\u003c\/p\u003e \u003cp\u003e3.6 Higher-Order Elements 62\u003c\/p\u003e \u003cp\u003e3.7 Summary 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Two-Dimensional Finite Element Analysis 77\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Boundary-Value Problem 77\u003c\/p\u003e \u003cp\u003e4.2 Variational Formulation 79\u003c\/p\u003e \u003cp\u003e4.3 Finite Element Analysis 81\u003c\/p\u003e \u003cp\u003e4.4 Application to Electrostatic Problems 98\u003c\/p\u003e \u003cp\u003e4.5 Application to Magnetostatic Problems 103\u003c\/p\u003e \u003cp\u003e4.6 Application to Quasistatic Problems: Analysis of Multiconductor Transmission Lines 105\u003c\/p\u003e \u003cp\u003e4.7 Application to Time-Harmonic Problems 109\u003c\/p\u003e \u003cp\u003e4.8 Higher-Order Elements 128\u003c\/p\u003e \u003cp\u003e4.9 Isoparametric Elements 144\u003c\/p\u003e \u003cp\u003e4.10 Summary 149\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Three-Dimensional Finite Element Analysis 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Boundary-Value Problem 151\u003c\/p\u003e \u003cp\u003e5.2 Variational Formulation 152\u003c\/p\u003e \u003cp\u003e5.3 Finite Element Analysis 153\u003c\/p\u003e \u003cp\u003e5.4 Higher-Order Elements 160\u003c\/p\u003e \u003cp\u003e5.5 Isoparametric Elements 162\u003c\/p\u003e \u003cp\u003e5.6 Application to Electrostatic Problems 168\u003c\/p\u003e \u003cp\u003e5.7 Application to Magnetostatic Problems 169\u003c\/p\u003e \u003cp\u003e5.8 Application to Time-Harmonic Field Problems 176\u003c\/p\u003e \u003cp\u003e5.9 Summary 188\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Variational Principles for Electromagnetics 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Standard Variational Principle 192\u003c\/p\u003e \u003cp\u003e6.2 Modified Variational Principle 197\u003c\/p\u003e \u003cp\u003e6.3 Generalized Variational Principle 201\u003c\/p\u003e \u003cp\u003e6.4 Variational Principle for Anisotrpic Medium 203\u003c\/p\u003e \u003cp\u003e6.5 Variational Principle for Resistive Sheets 207\u003c\/p\u003e \u003cp\u003e6.6 Concluding Remarks 209\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Eigenvalue Problems: Waveguides and Cavities 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Scalar Formulations for Closed Waveguides 212\u003c\/p\u003e \u003cp\u003e7.2 Vector Formulations for Closed Waveguides 225\u003c\/p\u003e \u003cp\u003e7.3 Open Waveguides 235\u003c\/p\u003e \u003cp\u003e7.4 Three-Dimensional Cavities 238\u003c\/p\u003e \u003cp\u003e7.5 Summary 239\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Vector Finite Elements 243\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Two-Dimensional Edge Elements 244\u003c\/p\u003e \u003cp\u003e8.2 Waveguide Problem Revisited 256\u003c\/p\u003e \u003cp\u003e8.3 Three-Dimensional Edge Elements 259\u003c\/p\u003e \u003cp\u003e8.4 Cavity Problem Revisited 270\u003c\/p\u003e \u003cp\u003e8.5 Waveguide Discontinuities 274\u003c\/p\u003e \u003cp\u003e8.6 Higher-Order Interpolatory Vector Elements 278\u003c\/p\u003e \u003cp\u003e8.7 Higher-Order Hierarchical Vector Elements 293\u003c\/p\u003e \u003cp\u003e8.8 Computational Issues 305\u003c\/p\u003e \u003cp\u003e8.9 Summary 309\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Absorbing Boundary Conditions 315\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Two-Dimensional Absorbing Boundary Conditions 316\u003c\/p\u003e \u003cp\u003e9.2 Three-Dimensional Absorbing Boundary Conditions 323\u003c\/p\u003e \u003cp\u003e9.3 Scattering Analysis Using Absorbing Boundary Conditons 328\u003c\/p\u003e \u003cp\u003e9.4 Adaptive Absorbing Boundary Conditons 339\u003c\/p\u003e \u003cp\u003e9.5 Fictitious Absorbers 348\u003c\/p\u003e \u003cp\u003e9.6 Perfectly Matched Layers 350\u003c\/p\u003e \u003cp\u003e9.7 Application of PML to Body-of-Revolutions Problems 368\u003c\/p\u003e \u003cp\u003e9.8 Summary 371\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Finite Element-Boundary Integral Methods 379\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Scattering by Two-Dimensional Cavity-Backed Apertures 381\u003c\/p\u003e \u003cp\u003e10.2 Scattering by Two-Dimensional Cylindrical Structures 399\u003c\/p\u003e \u003cp\u003e10.3 Scattering by Three-Dimensional Cavity-Backed Apertures 411\u003c\/p\u003e \u003cp\u003e10.4 Radiation by Microstrip Patch Antennas in a Cavity 425\u003c\/p\u003e \u003cp\u003e10.5 Scattering by General Three-Dimensional Bodies 430\u003c\/p\u003e \u003cp\u003e10.6 Solution of the Finite Element-Boundary Integral System 436\u003c\/p\u003e \u003cp\u003e10.7 Symmetric Finite Element-Boundary Integral Formulations 447\u003c\/p\u003e \u003cp\u003e10.8 Summary 462\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Finite Element-Eigenfunction Expansion Methods 469\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Waveguide Port Boundary Conditions 470\u003c\/p\u003e \u003cp\u003e11.2 Open-Region Scattering 487\u003c\/p\u003e \u003cp\u003e11.3 Coupled Basis Functions: The Unimoment Method 494\u003c\/p\u003e \u003cp\u003e11.4 Finite Element-Extended Boundary Condition Method 502\u003c\/p\u003e \u003cp\u003e11.5 Summary 509\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Finite Element Analysis in the Time Domain 513\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Finite Element Formulation and Temporal Excitation 514\u003c\/p\u003e \u003cp\u003e12.2 Time-Domain Discretization 518\u003c\/p\u003e \u003cp\u003e12.3 Stability Analysis 523\u003c\/p\u003e \u003cp\u003e12.4 Modeling of Dispersive Media 529\u003c\/p\u003e \u003cp\u003e12.5 Truncation via Absorbing Boundary Conditions 538\u003c\/p\u003e \u003cp\u003e12.6 Truncation via Perfectly Matched Layers 541\u003c\/p\u003e \u003cp\u003e12.7 Truncation via Boundary Integral Equations 551\u003c\/p\u003e \u003cp\u003e12.8 Time-Domain Wqaveguide Port Boundary Conditions 562\u003c\/p\u003e \u003cp\u003e12.9 Hybrid Field-Circuit Analysis 569\u003c\/p\u003e \u003cp\u003e12.10 Dual-Field Domain Decomposition and Element-Level Methods 587\u003c\/p\u003e \u003cp\u003e12.11 Discontinuous Galerkin Time-Domain Methods 605\u003c\/p\u003e \u003cp\u003e12.12 Summary 625\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Finite Element Analysis of Periodic Structures 637\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Finite Element Formulation for a Unit Cell 638\u003c\/p\u003e \u003cp\u003e13.2 Scattering by One-Dimensional Periodic Structures: Frequency-Domain Analysis 651\u003c\/p\u003e \u003cp\u003e13.3 Scattering by One-Dimensional Periodic Structures: Time-Domain Analysis 656\u003c\/p\u003e \u003cp\u003e13.4 Scattering by Two-Dimensional Periodic Structures: Frequency-Domain Analysis 663\u003c\/p\u003e \u003cp\u003e13.5 Scattering by Two-Dimensonal Periodic Structures: Time-Domain Analysis 670\u003c\/p\u003e \u003cp\u003e13.6 Analysis of Angular Periodic Strctures 678\u003c\/p\u003e \u003cp\u003e13.7 Summary 682\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Domain Decompsition for Large-Scale Analysis 687\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Schwarz Methods 688\u003c\/p\u003e \u003cp\u003e14.2 Schur Complement Methods 693\u003c\/p\u003e \u003cp\u003e14.3 FETI-DP Method for Low-Frequency Problems 705\u003c\/p\u003e \u003cp\u003e14.4 FETI-DP Method for High-Frequency Problems 728\u003c\/p\u003e \u003cp\u003e14.5 Noncomformal FETI-DP Method Based on Cement Elements 743\u003c\/p\u003e \u003cp\u003e14.6 Application of Second-Order Transmission Conditions 753\u003c\/p\u003e \u003cp\u003e14.7 Summary 760\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Solution of Finite Element Equations 767\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Decomposition Methods 769\u003c\/p\u003e \u003cp\u003e15.2 Conjugate Gradient Methods 778\u003c\/p\u003e \u003cp\u003e15.3 Solution of Eigenvalue Problems 791\u003c\/p\u003e \u003cp\u003e15.4 Fast Frequency-Sweep Computation 797\u003c\/p\u003e \u003cp\u003e15.5 Summary 803\u003c\/p\u003e \u003cp\u003eAppendix A: Basic Vector Identities and Integral Theorems 809\u003c\/p\u003e \u003cp\u003eAppendix B: The Ritz Procedure for Complex-Valued Problems 813\u003c\/p\u003e \u003cp\u003eAppendix C: Green's Functions 817\u003c\/p\u003e \u003cp\u003eAppendix D: Singular Integral Evaluation 825\u003c\/p\u003e \u003cp\u003eAppendix E: Some Special Functions 829\u003c\/p\u003e \u003cp\u003eIndex 837\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406891327831,"sku":"9781118571361","price":137.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118571361.jpg?v=1730497462"},{"product_id":"fast-sequential-monte-carlo-methods-for-counting-and-optimization-9781118612262","title":"Fast Sequential Monte Carlo Methods for Counting","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book presents the first comprehensive account of fast sequential Monte Carlo (SMC) methods for counting and optimization at an exceptionally accessible level. Written by authorities in the field, it places great emphasis on cross-entropy, minimum cross-entropy, splitting, and stochastic enumeration.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction to Monte Carlo Methods 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Cross-Entropy Method 6\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Introduction 6\u003c\/p\u003e \u003cp\u003e2.2. Estimation of Rare-Event Probabilities 7\u003c\/p\u003e \u003cp\u003e2.3. Cross-Entrophy Method for Optimization 18\u003c\/p\u003e \u003cp\u003e2.3.1. The Multidimensional 0\/1 Knapsack Problem 21\u003c\/p\u003e \u003cp\u003e2.3.2. Mastermind Game 23\u003c\/p\u003e \u003cp\u003e2.3.3. Markov Decision Process and Reinforcement Learning 25\u003c\/p\u003e \u003cp\u003e2.4. Continuous Optimization 31\u003c\/p\u003e \u003cp\u003e2.5. Noisy Optimization 33\u003c\/p\u003e \u003cp\u003e2.5.1. Stopping Criterion 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Minimum Cross-Entropy Method 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Introduction 37\u003c\/p\u003e \u003cp\u003e3.2. Classic MinxEnt Method 39\u003c\/p\u003e \u003cp\u003e3.3. Rare Events and MinxEnt 43\u003c\/p\u003e \u003cp\u003e3.4. Indicator MinxEnt Method 47\u003c\/p\u003e \u003cp\u003e3.4.1. Connection between CE and IME 51\u003c\/p\u003e \u003cp\u003e3.5. IME Method for Combinatorial Optimization 52\u003c\/p\u003e \u003cp\u003e3.5.1. Unconstrained Combinatorial Optimization 52\u003c\/p\u003e \u003cp\u003e3.5.2. Constrained Combinatorial Optimization: The Penalty Function Approach 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Splitting Method for Counting and Optimization 56\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Background 56\u003c\/p\u003e \u003cp\u003e4.2. Quick Glance at the Splitting Method 58\u003c\/p\u003e \u003cp\u003e4.3. Splitting Algorithm with Fixed Levels 64\u003c\/p\u003e \u003cp\u003e4.4. Adaptive Splitting Algorithm 68\u003c\/p\u003e \u003cp\u003e4.5. Sampling Uniformly on Discrete Regions 74\u003c\/p\u003e \u003cp\u003e4.6. Splitting Algorithm for Combinatorial Optimization 75\u003c\/p\u003e \u003cp\u003e4.7. Enhanced Splitting Method for Counting 76\u003c\/p\u003e \u003cp\u003e4.7.1. Counting with the Direct Estimator 76\u003c\/p\u003e \u003cp\u003e4.7.2. Counting with the Capture–Recapture Method 77\u003c\/p\u003e \u003cp\u003e4.8. Application of Splitting to Reliability Models 79\u003c\/p\u003e \u003cp\u003e4.8.1. Introduction 79\u003c\/p\u003e \u003cp\u003e4.8.2. Static Graph Reliability Problem 82\u003c\/p\u003e \u003cp\u003e4.8.3. BMC Algorithm for Computing \u003cb\u003e\u003ci\u003eS\u003c\/i\u003e\u003c\/b\u003e\u003ci\u003e(\u003cb\u003eY\u003c\/b\u003e) \u003c\/i\u003e84\u003c\/p\u003e \u003cp\u003e4.8.4. Gibbs Sampler 85\u003c\/p\u003e \u003cp\u003e4.9. Numerical Results with the Splitting Algorithms 86\u003c\/p\u003e \u003cp\u003e4.9.1. Counting 87\u003c\/p\u003e \u003cp\u003e4.9.2. Combinatorial Optimization 101\u003c\/p\u003e \u003cp\u003e4.9.3. Reliability Models 102\u003c\/p\u003e \u003cp\u003e4.10. Appendix: Gibbs Sampler 104\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Stochastic Enumeration Method 106\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. Introduction 106\u003c\/p\u003e \u003cp\u003e5.2. OSLA Method and Its Extensions 110\u003c\/p\u003e \u003cp\u003e5.2.1. Extension of OSLA: \u003ci\u003en\u003c\/i\u003eSLA Method 112\u003c\/p\u003e \u003cp\u003e5.2.2. Extension of OSLA for SAW: Multiple Trajectories 115\u003c\/p\u003e \u003cp\u003e5.3. SE Method 120\u003c\/p\u003e \u003cp\u003e5.3.1. SE Algorithm 120\u003c\/p\u003e \u003cp\u003e5.4. Applications of SE 127\u003c\/p\u003e \u003cp\u003e5.4.1. Counting the Number of Trajectories in a Network 127\u003c\/p\u003e \u003cp\u003e5.4.2. SE for Probabilities Estimation 131\u003c\/p\u003e \u003cp\u003e5.4.3. Counting the Number of Perfect Matchings in a Graph 132\u003c\/p\u003e \u003cp\u003e5.4.4. Counting SAT 135\u003c\/p\u003e \u003cp\u003e5.5. Numerical Results 136\u003c\/p\u003e \u003cp\u003e5.5.1. Counting SAW 137\u003c\/p\u003e \u003cp\u003e5.5.2. Counting the Number of Trajectories in a Network 137\u003c\/p\u003e \u003cp\u003e5.5.3. Counting the Number of Perfect Matchings in a Graph 140\u003c\/p\u003e \u003cp\u003e5.5.4. Counting SAT 143\u003c\/p\u003e \u003cp\u003e5.5.5. Comparison of SE with Splitting and SampleSearch 146\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA. Additional Topics 148\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1. Combinatorial Problems 148\u003c\/p\u003e \u003cp\u003eA.1.1. Counting 149\u003c\/p\u003e \u003cp\u003eA.1.2. Combinatorial Optimization 154\u003c\/p\u003e \u003cp\u003eA.2. Information 162\u003c\/p\u003e \u003cp\u003eA.2.1. Shannon Entropy 162\u003c\/p\u003e \u003cp\u003eA.2.2. Kullback–Leibler Cross-Entropy 163\u003c\/p\u003e \u003cp\u003eA.3. Efficiency of Estimators 164\u003c\/p\u003e \u003cp\u003eA.3.1. Complexity 165\u003c\/p\u003e \u003cp\u003eA.3.2. Complexity of Randomized Algorithms 166\u003c\/p\u003e \u003cp\u003eBibliography 169\u003c\/p\u003e \u003cp\u003eAbbreviations and Acronyms 177\u003c\/p\u003e \u003cp\u003eList of Symbols 178\u003c\/p\u003e \u003cp\u003eIndex 181\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406894834007,"sku":"9781118612262","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118612262.jpg?v=1730497475"},{"product_id":"handbook-of-experimental-structural-dynamics-9781461445463","title":"Handbook of Experimental Structural Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHistory of Experimental Structural Mechanics.- Sensors .- Instrumentation.- Applied Digital Signal Processing.- Basic Measurements.- Structural Measurements.- Environmental Measurements.- Design of Tests.- Modal Parameter Estimation.- Modal Analysis of Rotating Systems.- Operating Modal Analysis.- Computational Methods in Structural Dynamics.- Finite\/Boundary Element Modeling and Model Reduction.- FE Model Correlation.- Model Updating.- Damping of Materials and Stuctures.- Model Validation\/Verification\/Calibration.- Uncertainty Quantification and Statistical Issues.- Nonlinear System Analysis.- Rotating System Analysis.- Structural Health Monitoring and Damage Detection.- System Modeling.- Modal Modeling.- Impedance Modeling.- Acoustics of Structural Systems-VibroAcoustics.- Automotive Structural Testing.- Civil Structural Testing.- Aerospace Structural Testing.- Sports Equipment Testing.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eHistory of Experimental Structural Mechanics.- Sensors .- Instrumentation.- Applied Digital Signal Processing.- Basic Measurements.- Structural Measurements.- Environmental Measurements.- Design of Tests.- Modal Parameter Estimation.- Modal Analysis of Rotating Systems.- Operating Modal Analysis.- Computational Methods in Structural Dynamics.- Finite\/Boundary Element Modeling and Model Reduction.- FE Model Correlation.- Model Updating.- Damping of Materials and Stuctures.- Model Validation\/Verification\/Calibration.- Uncertainty Quantification and Statistical Issues.- Nonlinear System Analysis.- Rotating System Analysis.- Structural Health Monitoring and Damage Detection.- System Modeling.- Modal Modeling.- Impedance Modeling.- Acoustics of Structural Systems-VibroAcoustics.- Automotive Structural Testing.- Civil Structural Testing.- Aerospace Structural Testing.- Sports Equipment Testing.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":49408624427351,"sku":"9781461445463","price":582.71,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781461445463.jpg?v=1730503581"},{"product_id":"meshing-geometric-modeling-and-numerical-simulation-1-form-functions-triangulations-and-geometric-modeling-9781786300386","title":"Meshing, Geometric Modeling and Numerical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eTriangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between the meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this meshing vision.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eForeword 9\u003c\/p\u003e \u003cp\u003eIntroduction 11\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Finite Elements and Shape Functions 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Basic concepts 15\u003c\/p\u003e \u003cp\u003e1.2. Shape functions, complete elements 18\u003c\/p\u003e \u003cp\u003e1.2.1. Generic expression of shape functions 18\u003c\/p\u003e \u003cp\u003e1.2.2. Explicit expression for degrees 1–3 22\u003c\/p\u003e \u003cp\u003e1.3. Shape functions, reduced elements 26\u003c\/p\u003e \u003cp\u003e1.3.1. Simplices, triangles and tetrahedra 27\u003c\/p\u003e \u003cp\u003e1.3.2. Tensor elements, quadrilateral and hexahedral elements 31\u003c\/p\u003e \u003cp\u003e1.3.3. Other elements, prisms and pyramids 48\u003c\/p\u003e \u003cp\u003e1.4. Shape functions, rational elements 49\u003c\/p\u003e \u003cp\u003e1.4.1. Rational triangle with a degree of 2 or arbitrary degree 49\u003c\/p\u003e \u003cp\u003e1.4.2. Rational quadrilateral of an arbitrary degree 50\u003c\/p\u003e \u003cp\u003e1.4.3. General case, B-splines or Nurbs elements 50\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Lagrange and Bézier Interpolants 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Lagrange–Bézier analogy 54\u003c\/p\u003e \u003cp\u003e2.2. Lagrange functions expressed in Bézier forms 55\u003c\/p\u003e \u003cp\u003e2.2.1. The case of tensors, natural coordinates 55\u003c\/p\u003e \u003cp\u003e2.2.2. Simplicial case, barycentric coordinates 63\u003c\/p\u003e \u003cp\u003e2.3. Bézier polynomials expressed in Lagrangian form 66\u003c\/p\u003e \u003cp\u003e2.4. Application to curves 66\u003c\/p\u003e \u003cp\u003e2.4.1. Bézier expression for a Lagrange curve 67\u003c\/p\u003e \u003cp\u003e2.4.2. Lagrangian expression for a Bézier curve 70\u003c\/p\u003e \u003cp\u003e2.5. Application to patches 71\u003c\/p\u003e \u003cp\u003e2.5.1. Bézier expression for a patch in Lagrangian form 71\u003c\/p\u003e \u003cp\u003e2.5.2. Lagrangian expression for a patch in Bézier form 73\u003c\/p\u003e \u003cp\u003e2.6. Reduced elements 74\u003c\/p\u003e \u003cp\u003e2.6.1. The tensor case, Bézier expression for a reduced Lagrangian patch 74\u003c\/p\u003e \u003cp\u003e2.6.2. The tensor case, definition of reduced Bézier patches 82\u003c\/p\u003e \u003cp\u003e2.6.3. The tensor case, Lagrangian expression of a reduced Bézier patch 90\u003c\/p\u003e \u003cp\u003e2.6.4. The case of simplices 92\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Geometric Elements and Geometric Validity 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Two-dimensional elements 96\u003c\/p\u003e \u003cp\u003e3.2. Surface elements 105\u003c\/p\u003e \u003cp\u003e3.3. Volumetric elements 105\u003c\/p\u003e \u003cp\u003e3.4. Control points based on nodes 111\u003c\/p\u003e \u003cp\u003e3.5. Reduced elements 115\u003c\/p\u003e \u003cp\u003e3.5.1. Simplices, triangles and tetrahedra 115\u003c\/p\u003e \u003cp\u003e3.5.2. Tensor elements, quadrilaterals and hexahedra 116\u003c\/p\u003e \u003cp\u003e3.5.3. Other elements, prisms and pyramids 120\u003c\/p\u003e \u003cp\u003e3.6. Rational elements 121\u003c\/p\u003e \u003cp\u003e3.6.1. Shift from Lagrange rationals to Bézier rationals 121\u003c\/p\u003e \u003cp\u003e3.6.2. Degree 2, working on the (arc of a) circle 121\u003c\/p\u003e \u003cp\u003e3.6.3. Application to the analysis of rational elements 123\u003c\/p\u003e \u003cp\u003e3.6.4. On the use of rational elements or more 138\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Triangulation 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Triangulation, definitions, basic concepts and natural entities 142\u003c\/p\u003e \u003cp\u003e4.1.1. Definitions and basic concepts 142\u003c\/p\u003e \u003cp\u003e4.1.2. Natural entities 145\u003c\/p\u003e \u003cp\u003e4.1.3. A ball (topological) of a vertex 145\u003c\/p\u003e \u003cp\u003e4.1.4 A shell of a k-face 145\u003c\/p\u003e \u003cp\u003e4.1.5 The ring of a k-face 146\u003c\/p\u003e \u003cp\u003e4.2. Topology and local topological modifications 146\u003c\/p\u003e \u003cp\u003e4.2.1. Flipping an edge in two dimensions 148\u003c\/p\u003e \u003cp\u003e4.2.2. Flipping a face in three dimensions 148\u003c\/p\u003e \u003cp\u003e4.2.3. Flipping an edge in three dimensions 148\u003c\/p\u003e \u003cp\u003e4.2.4. Other flips? 150\u003c\/p\u003e \u003cp\u003e4.3. Enriched data structures 151\u003c\/p\u003e \u003cp\u003e4.3.1. Minimal structure 151\u003c\/p\u003e \u003cp\u003e4.3.2. Enriched structure 152\u003c\/p\u003e \u003cp\u003e4.4. Construction of natural entities 153\u003c\/p\u003e \u003cp\u003e4.5. Triangulation, construction methods 156\u003c\/p\u003e \u003cp\u003e4.6. The incremental method, a generic method 159\u003c\/p\u003e \u003cp\u003e4.6.1. Naive triangulation 160\u003c\/p\u003e \u003cp\u003e4.6.2. Delaunay triangulation 163\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Delaunay Triangulation 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. History 166\u003c\/p\u003e \u003cp\u003e5.2. Definitions and properties 168\u003c\/p\u003e \u003cp\u003e5.3. The incremental method for Delaunay 175\u003c\/p\u003e \u003cp\u003e5.4. Other methods of construction 181\u003c\/p\u003e \u003cp\u003e5.5. Variants 186\u003c\/p\u003e \u003cp\u003e5.6. Anisotropy 188\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Triangulation and Constraints 193\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. Triangulation of a domain 194\u003c\/p\u003e \u003cp\u003e6.1.1. Triangulation of a domain in two dimensions 195\u003c\/p\u003e \u003cp\u003e6.1.2. Triangulation of a domain in three dimensions 202\u003c\/p\u003e \u003cp\u003e6.2. Delaunay Triangulation “Delaunay admissibility” 214\u003c\/p\u003e \u003cp\u003e6.3. Triangulation of a variety 219\u003c\/p\u003e \u003cp\u003e6.4. Topological invariants (triangles and tetrahedra) 222\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 Geometric Modeling: Methods 233\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1. Implicit or explicit form (CAD), starting from an analytical definition 234\u003c\/p\u003e \u003cp\u003e7.1.1. Modeling an implicit curve, continuous → discrete 234\u003c\/p\u003e \u003cp\u003e7.1.2. Modeling a parametric curve 237\u003c\/p\u003e \u003cp\u003e7.1.3. Modeling an implicit surface 238\u003c\/p\u003e \u003cp\u003e7.1.4. Modeling of a parametric surface 242\u003c\/p\u003e \u003cp\u003e7.2. Starting from a discretization or triangulation, discrete → continuous 246\u003c\/p\u003e \u003cp\u003e7.2.1. Case of a curve 247\u003c\/p\u003e \u003cp\u003e7.2.2. The case of a surface 253\u003c\/p\u003e \u003cp\u003e7.3. Starting from a point cloud, discrete → discrete 278\u003c\/p\u003e \u003cp\u003e7.3.1. The case of a curve in two dimensions 278\u003c\/p\u003e \u003cp\u003e7.3.2. The case of a surface 283\u003c\/p\u003e \u003cp\u003e7.4. Extraction of characteristic points and characteristic lines 302\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8 Geometric Modeling: Examples 305\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1. Geometric modeling of parametric patches 306\u003c\/p\u003e \u003cp\u003e8.2. Characteristic lines of a discrete surface 311\u003c\/p\u003e \u003cp\u003e8.3. Parametrization of a surface patch through unfolding 311\u003c\/p\u003e \u003cp\u003e8.4. Geometric simplification of a surface triangulation 324\u003c\/p\u003e \u003cp\u003e8.5. Geometric support for a discrete surface 325\u003c\/p\u003e \u003cp\u003e8.6. Discrete reconstruction of a digitized object or environment 330\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9 A Few Basic Algorithms and Formulae 343\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1. Subdivision of an entity (De Casteljau) 344\u003c\/p\u003e \u003cp\u003e9.1.1. Subdivision of a curve 344\u003c\/p\u003e \u003cp\u003e9.1.2. Subdivision of a patch 345\u003c\/p\u003e \u003cp\u003e9.2. Computing control coefficients (higher order elements) 348\u003c\/p\u003e \u003cp\u003e9.3. Algorithms for the insertion of a point (Delaunay) 351\u003c\/p\u003e \u003cp\u003e9.3.1. Classic algorithm 352\u003c\/p\u003e \u003cp\u003e9.3.2. Modified algorithms 355\u003c\/p\u003e \u003cp\u003e9.4. Construction of neighboring relationships, balls and shells 357\u003c\/p\u003e \u003cp\u003e9.4.1. Neighboring relationships 357\u003c\/p\u003e \u003cp\u003e9.4.2. Construction of the ball of a vertex 359\u003c\/p\u003e \u003cp\u003e9.4.3. Construction of the shell of an edge 361\u003c\/p\u003e \u003cp\u003e9.5. Localization problems 363\u003c\/p\u003e \u003cp\u003e9.5.1. Triangulations or simplicial meshes 363\u003c\/p\u003e \u003cp\u003e9.5.2. Other meshes 367\u003c\/p\u003e \u003cp\u003e9.6. Some formulae 367\u003c\/p\u003e \u003cp\u003eConclusions and Perspectives 369\u003c\/p\u003e \u003cp\u003eBibliography 371\u003c\/p\u003e \u003cp\u003eIndex 377\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49412270915927,"sku":"9781786300386","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786300386.jpg?v=1730516215"},{"product_id":"geometric-and-topological-mesh-feature-extraction-for-3d-shape-analysis-9781786300416","title":"Geometric and Topological Mesh Feature Extraction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThree-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria.  This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches.  The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eIntroduction xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Geometric Features based on Curvatures \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Introduction 1\u003c\/p\u003e \u003cp\u003e1.2. Some mathematical reminders of the differential geometry of surfaces 2\u003c\/p\u003e \u003cp\u003e1.2.1. Fundamental forms and normal curvature 2\u003c\/p\u003e \u003cp\u003e1.2.2. Principal curvatures and shape index 5\u003c\/p\u003e \u003cp\u003e1.2.3. Principal directions and lines of curvature 6\u003c\/p\u003e \u003cp\u003e1.2.4. Weingarten equations and shape operator 9\u003c\/p\u003e \u003cp\u003e1.2.5. Practical computation of differential parameters 12\u003c\/p\u003e \u003cp\u003e1.2.6. Euler’s theorem 13\u003c\/p\u003e \u003cp\u003e1.2.7. Meusnier’s theorem 15\u003c\/p\u003e \u003cp\u003e1.2.8. Local approximation of the surface 16\u003c\/p\u003e \u003cp\u003e1.2.9. Focal surfaces 17\u003c\/p\u003e \u003cp\u003e1.3. Computation of differential parameters on a discrete 3D mesh 19\u003c\/p\u003e \u003cp\u003e1.3.1. Introduction 19\u003c\/p\u003e \u003cp\u003e1.3.2. Some notations 19\u003c\/p\u003e \u003cp\u003e1.3.3. Computing normal vectors 20\u003c\/p\u003e \u003cp\u003e1.3.4. Locally fitting a parametric surface 22\u003c\/p\u003e \u003cp\u003e1.3.5. Discrete differential geometry operators 22\u003c\/p\u003e \u003cp\u003e1.3.6. Integrating 2D curvatures 28\u003c\/p\u003e \u003cp\u003e1.3.7. Tensor of curvature: Taubin’s formula 28\u003c\/p\u003e \u003cp\u003e1.3.8. Tensor of curvature based on the normal cycle theory 30\u003c\/p\u003e \u003cp\u003e1.3.9. Integral estimators 34\u003c\/p\u003e \u003cp\u003e1.3.10. Processing unstructured 3D point clouds 38\u003c\/p\u003e \u003cp\u003e1.3.11. Discussion of the methods 38\u003c\/p\u003e \u003cp\u003e1.4. Feature line extraction 46\u003c\/p\u003e \u003cp\u003e1.4.1. Introduction 46\u003c\/p\u003e \u003cp\u003e1.4.2. Lines of curvature 47\u003c\/p\u003e \u003cp\u003e1.4.3. Crest\/ridge lines 55\u003c\/p\u003e \u003cp\u003e1.4.4. Feature lines based on homotopic thinning 79\u003c\/p\u003e \u003cp\u003e1.5. Region-based approaches 84\u003c\/p\u003e \u003cp\u003e1.5.1. Mesh segmentation 84\u003c\/p\u003e \u003cp\u003e1.5.2. Shape description based on graphs 87\u003c\/p\u003e \u003cp\u003e1.6. Conclusion 98\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Topological Features \u003c\/b\u003e\u003cb\u003e99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Mathematical background 99\u003c\/p\u003e \u003cp\u003e2.1.1. A topological view on surfaces 100\u003c\/p\u003e \u003cp\u003e2.1.2. Algebraic topology 103\u003c\/p\u003e \u003cp\u003e2.2. Computation of global topological features 106\u003c\/p\u003e \u003cp\u003e2.2.1. Connected components and genus 106\u003c\/p\u003e \u003cp\u003e2.2.2. Homology groups 107\u003c\/p\u003e \u003cp\u003e2.3. Combining geometric and topological features 111\u003c\/p\u003e \u003cp\u003e2.3.1. Persistent homology 112\u003c\/p\u003e \u003cp\u003e2.3.2. Reeb graph and Morse–Smale complex 115\u003c\/p\u003e \u003cp\u003e2.3.3. Homology generators 118\u003c\/p\u003e \u003cp\u003e2.3.4. Measuring holes 121\u003c\/p\u003e \u003cp\u003e2.4. Conclusion 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Applications \u003c\/b\u003e\u003cb\u003e131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Introduction 131\u003c\/p\u003e \u003cp\u003e3.2. Medicine: lines of curvature for polyp detection in virtual colonoscopy 131\u003c\/p\u003e \u003cp\u003e3.3. Paleo-anthropology: crest\/ridge lines for shape analysis of human fossils 133\u003c\/p\u003e \u003cp\u003e3.4. Geology: extraction of fracture lines on virtual outcrops 137\u003c\/p\u003e \u003cp\u003e3.5. Planetary science: detection of feature lines for the extraction of impact craters on asteroids and rocky planets 140\u003c\/p\u003e \u003cp\u003e3.6. Botany: persistent homology to recover the branching structure of plants 143\u003c\/p\u003e \u003cp\u003eConclusion 145\u003c\/p\u003e \u003cp\u003eReferences 149\u003c\/p\u003e \u003cp\u003eIndex 169\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49412270981463,"sku":"9781786300416","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786300416.jpg?v=1730516215"},{"product_id":"earthquake-statistical-analysis-through-multi-state-modeling-9781786301505","title":"Earthquake Statistical Analysis through","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eEarthquake occurrence modeling is a rapidly developing research area. This book deals with its critical issues, ranging from theoretical advances to practical applications.\u003cbr\u003e \u003cbr\u003e The introductory chapter outlines state-of-the-art earthquake modeling approaches based on stochastic models. Chapter 2 presents seismogenesis in association with the evolving stress field. Chapters 3 to 5 present earthquake occurrence modeling by means of hidden (semi-)Markov models and discuss associated characteristic measures and relative estimation aspects. Further comparisons, the most important results and our concluding remarks are provided in Chapters 6 and 7.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eList of Abbreviations ix\u003c\/p\u003e \u003cp\u003eList of Symbols xi\u003c\/p\u003e \u003cp\u003ePreface xv\u003c\/p\u003e \u003cp\u003eIntroduction xix\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Fundamentals on Stress Changes 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Introduction 1\u003c\/p\u003e \u003cp\u003e1.2. Stress interaction 4\u003c\/p\u003e \u003cp\u003e1.3. Stress changes calculation 12\u003c\/p\u003e \u003cp\u003e1.4. Modeling of Coulomb stress changes for different faulting types 15\u003c\/p\u003e \u003cp\u003e1.4.1.ΔCS for strike-slip faulting 15\u003c\/p\u003e \u003cp\u003e1.4.2.ΔCS for dip-slip faulting 16\u003c\/p\u003e \u003cp\u003e1.5. Seismicity triggered by stress transfer 21\u003c\/p\u003e \u003cp\u003e1.5.1. Triggering of strong earthquakes 21\u003c\/p\u003e \u003cp\u003e1.5.2. Aftershock triggering 23\u003c\/p\u003e \u003cp\u003e1.5.3. Triggering of mining seismicity 28\u003c\/p\u003e \u003cp\u003e1.6. Discussion on stress interaction 31\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Hidden Markov Models 35\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Introduction 35\u003c\/p\u003e \u003cp\u003e2.2. Hidden Markov framework 37\u003c\/p\u003e \u003cp\u003e2.3. Seismotectonic regime and seismicity data 42\u003c\/p\u003e \u003cp\u003e2.4. Application to earthquake occurrences 44\u003c\/p\u003e \u003cp\u003e2.4.1. Two hidden states and three observation types 45\u003c\/p\u003e \u003cp\u003e2.4.2. Three hidden states and three observation types 48\u003c\/p\u003e \u003cp\u003e2.4.3. Model selection and simulation 50\u003c\/p\u003e \u003cp\u003e2.4.4. Steps number for the first earthquake occurrence 53\u003c\/p\u003e \u003cp\u003e2.5. Conclusion 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Hidden Markov Renewal Models 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Introduction 57\u003c\/p\u003e \u003cp\u003e3.2. Semi-Markov framework 58\u003c\/p\u003e \u003cp\u003e3.3. Hidden Markov renewal framework 65\u003c\/p\u003e \u003cp\u003e3.4. Modeling earthquakes in Greece 66\u003c\/p\u003e \u003cp\u003e3.4.1. Hitting times and earthquake occurrence numbers 69\u003c\/p\u003e \u003cp\u003e3.5. Conclusion 73\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Hitting Time Intensity 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Introduction 75\u003c\/p\u003e \u003cp\u003e4.2. DTIHT for semi-Markov chains 76\u003c\/p\u003e \u003cp\u003e4.2.1. Statistical estimation of the DTIHT 78\u003c\/p\u003e \u003cp\u003e4.3. DTIHT for hidden Markov renewal chains 83\u003c\/p\u003e \u003cp\u003e4.3.1. Statistical estimation of the DTIHT 85\u003c\/p\u003e \u003cp\u003e4.4. Conclusion 87\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. Models Comparison 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. Introduction 89\u003c\/p\u003e \u003cp\u003e5.2. Markov framework 90\u003c\/p\u003e \u003cp\u003e5.2.1. HMM case 92\u003c\/p\u003e \u003cp\u003e5.2.2. HMRM case 92\u003c\/p\u003e \u003cp\u003e5.3. Markov renewal framework 93\u003c\/p\u003e \u003cp\u003e5.3.1. HMM case 95\u003c\/p\u003e \u003cp\u003e5.3.2. HMRM case 96\u003c\/p\u003e \u003cp\u003e5.4. Conclusion 97\u003c\/p\u003e \u003cp\u003eDiscussion \u0026amp; Concluding Remarks 99\u003c\/p\u003e \u003cp\u003eAppendices 105\u003c\/p\u003e \u003cp\u003eAppendix 1 107\u003c\/p\u003e \u003cp\u003eAppendix 2 113\u003c\/p\u003e \u003cp\u003eAppendix 3 117\u003c\/p\u003e \u003cp\u003eReferences 119\u003c\/p\u003e \u003cp\u003eIndex 137\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49412273602903,"sku":"9781786301505","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786301505.jpg?v=1730516225"},{"product_id":"advanced-numerical-methods-with-matlab-2-resolution-of-nonlinear-differential-and-partial-differential-equations-9781786302939","title":"Advanced Numerical Methods with Matlab 2:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific   computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or of engineering (mechanics of structures, mechanics of fluids, treatment signal, etc.). Each chapter of this book recalls the essence of the different methods resolution and presents several applications in the field of engineering as well as programs developed under Matlab software.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1. Solving Equations 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Solving Nonlinear Equations 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 3\u003c\/p\u003e \u003cp\u003e1.2 Separating the roots 3\u003c\/p\u003e \u003cp\u003e1.3 Approximating a separated root 4\u003c\/p\u003e \u003cp\u003e1.3.1 Bisection method (or dichotomy method) 4\u003c\/p\u003e \u003cp\u003e1.3.2 Fixed-point method 6\u003c\/p\u003e \u003cp\u003e1.3.3 First convergence criterion 7\u003c\/p\u003e \u003cp\u003e1.3.4 Iterative stopping criteria.8\u003c\/p\u003e \u003cp\u003e1.3.5 Second convergence criterion (local criterion) 9\u003c\/p\u003e \u003cp\u003e1.3.6 Newton’s method (or the method of tangents) 10\u003c\/p\u003e \u003cp\u003e1.3.7 Secant method 12\u003c\/p\u003e \u003cp\u003e1.3.8 \u003ci\u003eRegula falsi method\u003c\/i\u003e (or false position method) 17\u003c\/p\u003e \u003cp\u003e1.4 Order of an iterative process.19\u003c\/p\u003e \u003cp\u003e1.5 Using Matlab 19\u003c\/p\u003e \u003cp\u003e1.5.1 Finding the roots of polynomials 19\u003c\/p\u003e \u003cp\u003e1.5.2 Bisection method 21\u003c\/p\u003e \u003cp\u003e1.5.3 Newton’s method 22\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Numerically Solving Differential Equations 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 25\u003c\/p\u003e \u003cp\u003e2.2 Cauchy problem and discretization 27\u003c\/p\u003e \u003cp\u003e2.3 Euler’s method 30\u003c\/p\u003e \u003cp\u003e2.3.1 Interpretation 30\u003c\/p\u003e \u003cp\u003e2.3.2 Convergence 30\u003c\/p\u003e \u003cp\u003e2.4 One-step Runge–Kutta method 31\u003c\/p\u003e \u003cp\u003e2.4.1 Second-order Runge–Kutta method 32\u003c\/p\u003e \u003cp\u003e2.4.2 Fourth-order Runge–Kutta method 33\u003c\/p\u003e \u003cp\u003e2.5 Multi-step Adams methods 36\u003c\/p\u003e \u003cp\u003e2.5.1 Open Adams methods 36\u003c\/p\u003e \u003cp\u003e2.5.2 Closed Adams formulas 39\u003c\/p\u003e \u003cp\u003e2.6 Predictor–Corrector method.41\u003c\/p\u003e \u003cp\u003e2.7 Using \u003ci\u003eMatlab\u003c\/i\u003e 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2. Solving PDEs 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Finite Difference Methods 49\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 49\u003c\/p\u003e \u003cp\u003e3.2 Presentation of the finite difference method 51\u003c\/p\u003e \u003cp\u003e3.2.1 Convergence, consistency and stability 53\u003c\/p\u003e \u003cp\u003e3.2.2 Courant–Friedrichs–Lewy condition 56\u003c\/p\u003e \u003cp\u003e3.2.3 Von Neumann stability analysis 57\u003c\/p\u003e \u003cp\u003e3.3 Hyperbolic equations 58\u003c\/p\u003e \u003cp\u003e3.3.1 Key results 59\u003c\/p\u003e \u003cp\u003e3.3.2 Numerical schemes for solving the transport equation 63\u003c\/p\u003e \u003cp\u003e3.3.3 Wave equation 66\u003c\/p\u003e \u003cp\u003e3.3.4 Burgers equation 68\u003c\/p\u003e \u003cp\u003e3.4 Elliptic equations 72\u003c\/p\u003e \u003cp\u003e3.4.1 Poisson equation 72\u003c\/p\u003e \u003cp\u003e3.5 Parabolic equations 74\u003c\/p\u003e \u003cp\u003e3.5.1 Heat equation 74\u003c\/p\u003e \u003cp\u003e3.6 Using \u003ci\u003eMatlab\u003c\/i\u003e 76\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Finite Element Method 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 83\u003c\/p\u003e \u003cp\u003e4.2 One-dimensional finite element methods 83\u003c\/p\u003e \u003cp\u003e4.3 Two-dimensional finite element methods 88\u003c\/p\u003e \u003cp\u003e4.4 General procedure of the method 93\u003c\/p\u003e \u003cp\u003e4.5 Finite element method for computing elastic structures 93\u003c\/p\u003e \u003cp\u003e4.5.1 Linear elasticity 93\u003c\/p\u003e \u003cp\u003e4.5.2 Variational formulation of the linear elasticity problem 97\u003c\/p\u003e \u003cp\u003e4.5.3 Planar linear elasticity problems 99\u003c\/p\u003e \u003cp\u003e4.5.4 Applying the finite element method to planar problems 101\u003c\/p\u003e \u003cp\u003e4.5.5 Axisymmetric problems.105\u003c\/p\u003e \u003cp\u003e4.5.6 Three-dimensional problems 107\u003c\/p\u003e \u003cp\u003e4.6 Using \u003ci\u003eMatlab\u003c\/i\u003e 107\u003c\/p\u003e \u003cp\u003e4.6.1 Solving Poisson’s equation 108\u003c\/p\u003e \u003cp\u003e4.6.2 Solving the heat equation.111\u003c\/p\u003e \u003cp\u003e4.6.3 Computing structures 112\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. Finite Volume Methods 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 117\u003c\/p\u003e \u003cp\u003e5.2 Finite volume method (FVM) 118\u003c\/p\u003e \u003cp\u003e5.2.1 Conservation properties of the method 118\u003c\/p\u003e \u003cp\u003e5.2.2 The stages of the method.119\u003c\/p\u003e \u003cp\u003e5.2.3 Convergence 120\u003c\/p\u003e \u003cp\u003e5.2.4 Consistency 120\u003c\/p\u003e \u003cp\u003e5.2.5 Stability 120\u003c\/p\u003e \u003cp\u003e5.3 Advection schemes 121\u003c\/p\u003e \u003cp\u003e5.3.1 Two-dimensional FVM. 126\u003c\/p\u003e \u003cp\u003e5.3.2 Convection-diffusion equation 129\u003c\/p\u003e \u003cp\u003e5.3.3 Central differencing scheme 131\u003c\/p\u003e \u003cp\u003e5.3.4 Upwind (decentered) scheme 133\u003c\/p\u003e \u003cp\u003e5.3.5 Hybrid scheme 136\u003c\/p\u003e \u003cp\u003e5.3.6 Power-law scheme 136\u003c\/p\u003e \u003cp\u003e5.3.7 QUICK scheme 137\u003c\/p\u003e \u003cp\u003e5.3.8 Higher-order schemes 139\u003c\/p\u003e \u003cp\u003e5.3.9 Unsteady one-dimensional convection-diffusion Equation 140\u003c\/p\u003e \u003cp\u003e5.3.10 Explicit scheme 142\u003c\/p\u003e \u003cp\u003e5.3.11 Crank–Nicolson scheme.142\u003c\/p\u003e \u003cp\u003e5.3.12 Implicit scheme 143\u003c\/p\u003e \u003cp\u003e5.4 Using \u003ci\u003eMatlab\u003c\/i\u003e 144\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Meshless Methods. 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 147\u003c\/p\u003e \u003cp\u003e6.2 Limitations of the FEM and motivation of meshless methods 148\u003c\/p\u003e \u003cp\u003e6.3 Examples of meshless methods148\u003c\/p\u003e \u003cp\u003e6.3.1 Advantages of meshless methods 149\u003c\/p\u003e \u003cp\u003e6.3.2 Disadvantages of meshless methods150\u003c\/p\u003e \u003cp\u003e6.3.3 Comparison of the finite element method and meshless methods 151\u003c\/p\u003e \u003cp\u003e6.4 Basis of meshless methods 151\u003c\/p\u003e \u003cp\u003e6.4.1 Approximations 151\u003c\/p\u003e \u003cp\u003e6.4.2 Kernel (weight) functions.152\u003c\/p\u003e \u003cp\u003e6.4.3 Completeness 152\u003c\/p\u003e \u003cp\u003e6.4.4 Partition of unity 152\u003c\/p\u003e \u003cp\u003e6.5 Meshless method (EFG) 153\u003c\/p\u003e \u003cp\u003e6.5.1 Theory 153\u003c\/p\u003e \u003cp\u003e6.5.2 Moving Least-Squares Approximation 153\u003c\/p\u003e \u003cp\u003e6.6 Application of the meshless method to elasticity 163\u003c\/p\u003e \u003cp\u003e6.6.1 Formulation of static linear elasticity 163\u003c\/p\u003e \u003cp\u003e6.6.2 Imposing essential boundary conditions 165\u003c\/p\u003e \u003cp\u003e6.7 Numerical examples 170\u003c\/p\u003e \u003cp\u003e6.7.1 Fixed-free beam 170\u003c\/p\u003e \u003cp\u003e6.7.2 Compressed block 171\u003c\/p\u003e \u003cp\u003e6.8 Using \u003ci\u003eMatlab\u003c\/i\u003e 173\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3. Appendices 179\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAppendix 1181\u003c\/p\u003e \u003cp\u003eAppendix 2189\u003c\/p\u003e \u003cp\u003eBibliography 195\u003c\/p\u003e \u003cp\u003eIndex 199\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49412277436759,"sku":"9781786302939","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786302939.jpg?v=1730516238"},{"product_id":"numerical-methods-for-inverse-problems-9781848218185","title":"Numerical Methods for Inverse Problems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system.\u003c\/p\u003e \u003cp\u003eThe author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications.\u003c\/p\u003e \u003cp\u003eThis book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"The book is very carefully written, in a reader-friendly style. It can be considered as an introductory textbook for the theory of ill-posed problems and their numerical solution.\" (\u003ci\u003eMathematical Reviews\/MathSciNet\u003c\/i\u003e 11\/05\/2017)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1. Introduction and Examples 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Overview of Inverse Problems \u003c\/b\u003e \u003cb\u003e3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Direct and inverse problems 3\u003c\/p\u003e \u003cp\u003e1.2. Well-posed and ill-posed problems 4\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Examples of Inverse Problems  9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Inverse problems in heat transfer 10\u003c\/p\u003e \u003cp\u003e2.2. Inverse problems in hydrogeology 13\u003c\/p\u003e \u003cp\u003e2.3. Inverse problems in seismic exploration 16\u003c\/p\u003e \u003cp\u003e2.4. Medical imaging 21\u003c\/p\u003e \u003cp\u003e2.5. Other examples 25\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2. Linear Inverse Problems 29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Integral Operators and Integral Equations  31\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Definition and first properties 31\u003c\/p\u003e \u003cp\u003e3.2. Discretization of integral equations 36\u003c\/p\u003e \u003cp\u003e3.2.1. Discretization by quadrature–collocation 36\u003c\/p\u003e \u003cp\u003e3.2.2. Discretization by the Galerkin method 39\u003c\/p\u003e \u003cp\u003e3.3. Exercises 42\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Linear Least Squares Problems – Singular Value Decomposition 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Mathematical properties of least squares problems 45\u003c\/p\u003e \u003cp\u003e4.1.1. Finite dimensional case 50\u003c\/p\u003e \u003cp\u003e4.2. Singular value decomposition for matrices 52\u003c\/p\u003e \u003cp\u003e4.3. Singular value expansion for compact operators 57\u003c\/p\u003e \u003cp\u003e4.4. Applications of the SVD to least squares problems 60\u003c\/p\u003e \u003cp\u003e4.4.1. The matrix case 60\u003c\/p\u003e \u003cp\u003e4.4.2. The operator case 63\u003c\/p\u003e \u003cp\u003e4.5. Exercises 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. Regularization of Linear Inverse Problems 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. Tikhonov’s method 72\u003c\/p\u003e \u003cp\u003e5.1.1. Presentation 72\u003c\/p\u003e \u003cp\u003e5.1.2. Convergence 73\u003c\/p\u003e \u003cp\u003e5.1.3. The L-curve 81\u003c\/p\u003e \u003cp\u003e5.2. Applications of the SVE 83\u003c\/p\u003e \u003cp\u003e5.2.1. SVE and Tikhonov’s method 84\u003c\/p\u003e \u003cp\u003e5.2.2. Regularization by truncated SVE 85\u003c\/p\u003e \u003cp\u003e5.3. Choice of the regularization parameter 88\u003c\/p\u003e \u003cp\u003e5.3.1. Morozov’s discrepancy principle 88\u003c\/p\u003e \u003cp\u003e5.3.2. The L-curve 91\u003c\/p\u003e \u003cp\u003e5.3.3. Numerical methods 92\u003c\/p\u003e \u003cp\u003e5.4. Iterative methods 94\u003c\/p\u003e \u003cp\u003e5.5. Exercises 98\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3. Nonlinear Inverse Problems 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Nonlinear Inverse Problems – Generalities 105\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. The three fundamental spaces 106\u003c\/p\u003e \u003cp\u003e6.2. Least squares formulation 111\u003c\/p\u003e \u003cp\u003e6.2.1. Difficulties of inverse problems 114\u003c\/p\u003e \u003cp\u003e6.2.2. Optimization, parametrization, discretization 114\u003c\/p\u003e \u003cp\u003e6.3. Methods for computing the gradient – the adjoint state method 116\u003c\/p\u003e \u003cp\u003e6.3.1. The finite difference method 116\u003c\/p\u003e \u003cp\u003e6.3.2. Sensitivity functions 118\u003c\/p\u003e \u003cp\u003e6.3.3. The adjoint state method 119\u003c\/p\u003e \u003cp\u003e6.3.4. Computation of the adjoint state by the Lagrangian 120\u003c\/p\u003e \u003cp\u003e6.3.5. The inner product test 123\u003c\/p\u003e \u003cp\u003e6.4. Parametrization and general organization  123\u003c\/p\u003e \u003cp\u003e6.5. Exercises 125\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7. Some Parameter Estimation Examples 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1. Elliptic equation in one dimension  127\u003c\/p\u003e \u003cp\u003e7.1.1. Computation of the gradient 128\u003c\/p\u003e \u003cp\u003e7.2. Stationary diffusion: elliptic equation in two dimensions 129\u003c\/p\u003e \u003cp\u003e7.2.1. Computation of the gradient: application of the general method 132\u003c\/p\u003e \u003cp\u003e7.2.2. Computation of the gradient by the Lagrangian 134\u003c\/p\u003e \u003cp\u003e7.2.3. The inner product test 135\u003c\/p\u003e \u003cp\u003e7.2.4. Multiscale parametrization 135\u003c\/p\u003e \u003cp\u003e7.2.5. Example 136\u003c\/p\u003e \u003cp\u003e7.3. Ordinary differential equations 137\u003c\/p\u003e \u003cp\u003e7.3.1. An application example  144\u003c\/p\u003e \u003cp\u003e7.4. Transient diffusion: heat equation 147\u003c\/p\u003e \u003cp\u003e7.5. Exercises 152\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8. Further Information 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1. Regularization in other norms 155\u003c\/p\u003e \u003cp\u003e8.1.1. Sobolev semi-norms 155\u003c\/p\u003e \u003cp\u003e8.1.2. Bounded variation regularization norm 157\u003c\/p\u003e \u003cp\u003e8.2. Statistical approach: Bayesian inversion 157\u003c\/p\u003e \u003cp\u003e8.2.1. Least squares and statistics 158\u003c\/p\u003e \u003cp\u003e8.2.2. Bayesian inversion 160\u003c\/p\u003e \u003cp\u003e8.3. Other topics 163\u003c\/p\u003e \u003cp\u003e8.3.1. Theoretical aspects: identifiability 163\u003c\/p\u003e \u003cp\u003e8.3.2. Algorithmic differentiation . 163\u003c\/p\u003e \u003cp\u003e8.3.3. Iterative methods and large-scale problems 164\u003c\/p\u003e \u003cp\u003e8.3.4. Software  164\u003c\/p\u003e \u003cp\u003eAppendices 167\u003c\/p\u003e \u003cp\u003eAppendix 1 169\u003c\/p\u003e \u003cp\u003eAppendix 2 183\u003c\/p\u003e \u003cp\u003eAppendix 3 193\u003c\/p\u003e \u003cp\u003eBibliography 205\u003c\/p\u003e \u003cp\u003eIndex 213\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49413720539479,"sku":"9781848218185","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781848218185.jpg?v=1730521164"},{"product_id":"approximation-theory-and-algorithms-for-data-analysis-9783030052270","title":"Approximation Theory and Algorithms for Data","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eThe following topics are covered:\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e* least-squares approximation and regularization methods\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e* interpolation by algebraic and trigonometric polynomials\u003c\/p\u003e  \u003cp\u003e* basic results on best approximations\u003c\/p\u003e  \u003cp\u003e* Euclidean approximation\u003c\/p\u003e  \u003cp\u003e* Chebyshev approximation\u003c\/p\u003e  \u003cp\u003e* asymptotic concepts: error estimates and convergence rates\u003c\/p\u003e  \u003cp\u003e* signal approximation by Fourier and wavelet methods\u003c\/p\u003e  \u003cp\u003e* kernel-based multivariate approximation\u003c\/p\u003e  \u003cp\u003e* approximation methods in computerized tomography\u003c\/p\u003e  \u003cp\u003eProviding numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book is an excellent first course in approximation theory, covering all the aspects from theoretical results to practical methods, from discrete to continuous approximation, from univariate to multivariate. … The book is an excellent text for an undergraduate course in approximation methods. … this book is a very important textbook on approximation theory and its methods.” (Ana Cristina Matos, Mathematical Reviews, August, 2019)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Introduction.- 2 Basic Methods and Numerical Analysis.- 3 Best Approximations.- 4 Euclidean Approximations.- 5 Chebyshev Approximations.- 6 Asymptotic Results.- 7 Basic Concepts of Signal Approximation.- 8 Kernel-Based Approximation.- 9 Computational Topology.- References.- Subject Index.- Name Index.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415612891479,"sku":"9783030052270","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030052270.jpg?v=1730527514"},{"product_id":"flinovia-flow-induced-noise-and-vibration-issues-and-aspects-iii-9783030648091","title":"Flinovia—Flow Induced Noise and Vibration Issues","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis volume gathers the latest advances and innovations in the field of flow-induced vibration and noise, as presented by leading international researchers at the 3\u003csup\u003erd\u003c\/sup\u003e International Symposium on Flow Induced Noise and Vibration Issues and Aspects (FLINOVIA), which was held in Lyon, France, in September 2019. It explores topics such as turbulent boundary layer-induced vibration and noise, tonal noise, noise due to ingested turbulence, fluid-structure interaction problems, and noise control techniques. The authors’ backgrounds represent a mix of academia, government, and industry, and several papers include applications to important problems for underwater vehicles, aerospace structures and commercial transportation. The book offers a valuable reference guide for all those interested in measurement, modelling, simulation and reproduction of the flow excitation and flow induced structural response.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eSource Modeling.- Experimental Techniques.- Analytical Developments.- Numerical Methods.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415627211095,"sku":"9783030648091","price":189.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030648091.jpg?v=1730527566"},{"product_id":"mathematical-descriptions-of-traffic-flow-micro-macro-and-kinetic-models-9783030665593","title":"Mathematical Descriptions of Traffic Flow: Micro,","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe book originates from the mini-symposium \"Mathematical descriptions of traffic flow: micro, macro and kinetic models\" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eM. Herty et al., Reconstruction of traffic speed distributions from kinetic models with uncertainties.- M. Herty et al., From kinetic to macroscopic models and back.- R. Ramadan et al., Structural Properties of the Stability of Jamitons.- C. Balzotti and E. Iacomini, Stop-and-go waves: A Microscopic and a Macroscopic Description.- F. A. Chiarello, An overview of non-local traffic flow models.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415628456279,"sku":"9783030665593","price":87.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030665593.jpg?v=1730527571"},{"product_id":"parallel-in-time-integration-methods-9th-parallel-in-time-workshop-june-8-12-2020-9783030759353","title":"Parallel-in-Time Integration Methods: 9th","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis volume includes contributions from the 9th Parallel-in-Time (PinT) workshop, an annual gathering devoted to the field of time-parallel methods, aiming to adapt existing computer models to next-generation machines by adding a new dimension of scalability. As the latest supercomputers advance in microprocessing ability, they require new mathematical algorithms in order to fully realize their potential for complex systems. The use of parallel-in-time methods will provide dramatically faster simulations in many important areas, including biomedical (e.g., heart modeling), computational fluid dynamics (e.g., aerodynamics and weather prediction), and machine learning applications. Computational and applied mathematics is crucial to this progress, as it requires advanced methodologies from the theory of partial differential equations in a functional analytic setting, numerical discretization and integration, convergence analyses of iterative methods, and the development and implementation of new parallel algorithms. Therefore, the workshop seeks to bring together an interdisciplinary group of experts across these fields to disseminate cutting-edge research and facilitate discussions on parallel time integration methods. \u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTight two-level convergence of linear Parareal and MGRIT: Extensions and implications in practice (Southworth et al.).- A Parallel algorithm for solving linear parabolic evolution equations (van Venetië et al.).- Using performance analysis tools for a parallel-in-time integrator (Speck et al.).- Twelve Ways to Fool the Masses When Giving Parallel-In-Time Results (Götschel et al.).- IMEX Runge-Kutta Parareal for Non-Diffusive Equations (Buvoli et al.).","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415635927383,"sku":"9783030759353","price":111.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030759353.jpg?v=1730527600"},{"product_id":"hybrid-high-order-methods-a-primer-with-applications-to-solid-mechanics-9783030814762","title":"Hybrid High-Order Methods: A Primer with","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThis book provides a comprehensive coverage of hybrid high-order methods for computational mechanics. \u003cbr\u003eThe first three chapters offer a gentle introduction to the method and its mathematical foundations for the diffusion problem. The next four chapters address applications of increasing complexity in the field of computational mechanics: linear elasticity, hyperelasticity, wave propagation, contact, friction, and plasticity. The last chapter provides an overview of the main implementation aspects including some examples of Matlab code. \u003cbr\u003eThe book is primarily intended for graduate students, researchers, and engineers working in related fields of application, and it can also be used as a support for graduate and doctoral lectures.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1.Getting Started: Linear Diffusion.- 2.Mathematical Aspects.- 3.Some Variants.- 4.Linear Elasticity and Hyperelasticity.- 5.Elastodynamics.- 6.Contact and Friction.- 7.Plasticity.- 8.Implementaion Aspects.- References.\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415643726167,"sku":"9783030814762","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030814762.jpg?v=1730527627"},{"product_id":"recent-advances-in-kinetic-equations-and-applications-9783030829452","title":"Recent Advances in Kinetic Equations and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe volume covers most of the topics addressed and discussed during the Workshop INdAM \"Recent advances in kinetic equations and applications\", which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- Sharpening of Decay Rates in Fourier Based Hypocoercivity Methods. - Quantum Drift-Diffusion Equations for a Two-Dimensional Electron Gas with Spin-Orbit Interaction. - A Kinetic BGK Relaxation Model for a Reacting Mixture of Polyatomic Gases. - On Some Recent Progress in the Vlasov–Poisson–Boltzmann System with Diffuse Reflection Boundary. - The Vlasov Equation with Infinite Mass. - Mathematical and Numerical Study of a Dusty Knudsen Gas Mixture: Extension to Non-spherical Dust Particles. - Body-Attitude Alignment: First Order Phase Transition, Link with Rodlike Polymers Through Quaternions, and Stability. - The Half-Space Problem for the Boltzmann Equation with Phase Transition at the Boundary. - Recent Developments on Quasineutral Limits for Vlasov-Type Equations. - A Note on Acoustic Limit for the Boltzmann Equation. - Thermal Boundaries in Kinetic and Hydrodynamic Limits. - Control of Collective Dynamics with Time-Varying Weights. - Kinetic Modelling of Autoimmune Diseases. - A Generalized Slip-Flow Theory for a Slightly Rarefied Gas Flow Induced by Discontinuous Wall Temperature. - A Revisit to the Cercignani–Lampis Model: Langevin Picture and Its Numerical Simulation. - On the Accuracy of Gyrokinetic Equations in Fusion Applications.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415645823319,"sku":"9783030829452","price":127.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030829452.jpg?v=1730527635"},{"product_id":"recent-advances-in-industrial-and-applied-mathematics-9783030862350","title":"Recent Advances in Industrial and Applied","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1 M. Berger, Asteroid-Generated Tsunamis: A Review.- 2 A. Bermúdez, Some Case Studies in Environmental and Industrial Mathematics.- 3 Z. Cai et al., Hyperbolic Model Reduction for Kinetic Equations.- 4 A. Cohen et al., State Estimation - The Role of Reduced Models.- 5 C. Conca, Modelling Our Sense Of Smell.- 6 L. Edelstein-Keshet, Pattern formation inside living cells.- 7 M. Garzon et al., Efficient Algorithms for Tracking Moving Interfaces.- 8 K. Lauter, Private AI: Machine Learning on Encrypted Data.- 9 C. Le Bris, Mathematical approaches for contemporary materials science: Addressing defects in the microstructure.- 10 H. Leng et al., An iterative thresholding method for topology optimization for the Navier-Stokes flow.- 11 K. Sako, Cryptography and Digital Transformation.- 12 H. Suito et al., Numerical Study for Blood Flows in Thoracic Aorta.- 13 J.A.C. Weideman, Dynamics of Complex Singularities of Nonlinear PDEs: Analysis and Computation.\u003c\/p\u003e\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415651361111,"sku":"9783030862350","price":35.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030862350.jpg?v=1730527655"},{"product_id":"mesh-methods-for-boundary-value-problems-and-applications-13th-international-conference-kazan-russia-october-20-25-2020-9783030878085","title":"Mesh Methods for Boundary-Value Problems and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTheory of the mesh methods for the boundary-value problems in Mathematical Physics.- Non-linear mathematical models in mechanics and physics.- Algorithms for solving variational inequalities.- Computing Science and educational systems.\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415653851479,"sku":"9783030878085","price":97.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030878085.jpg?v=1730527669"}],"url":"https:\/\/bookcurl.com\/collections\/numerical-analysis.oembed?page=8","provider":"Book Curl","version":"1.0","type":"link"}