Maths for engineers Books
Springer-Verlag GmbH High Speed Railway Track Dynamics
£999.99
Springer-Verlag GmbH Python for Mathematical Thinking
£999.99
Springer The BioInspired XStructureMechanism Approach for Exploring Nonlinear Benefits in Engineering
Book SynopsisChapter 1. Introduction to the bio-inspired X-structure/mechanism approach.- Chapter 2 The symmetric X-shaped structure.- Chapter 3 The horizontally-asymmetric X-shaped structure.- Chapter 4 The vertically-asymmetric X-shaped structure.- Chapter 5 Nonlinear dynamics in X-shaped structure.- Chapter 6 Multi-DoF-Multi-Joint leg-like structure.- Chapter 7 Nonlinear manipulation with X-mechanism.- Chapter 8 The adjustable X-mount.- Chapter 9 The nonlinear damping characteristics of the X-shaped structure.- Chapter 10 The adjustable and robust X-absorber.- Chapter 11 The X-shaped structure coupled with leverage I.- Chapter 12 The X-shaped structure coupled with leverage II.- Chapter 13 The human body inspired nonlinear inertia I.- Chapter 14 The human body inspired nonlinear inertia II.- Chapter 15 Nonlinear inertia coupling with X-mechanism: Modelling & Analysis.- Chapter 16 Nonlinear inertia coupling with X-mechanism: Prototyping & Testing.- Chapter 17 Stewart structure based 6-DoF vibration isolation.- Chapter 18 Compact 3-DoF anti-vibration -I: 10-bar mechanism.- Chapter 19 Compact 3-DoF anti-vibration -II: 4-bar mechanism.- Chapter 20 Compact 3-DoF anti-vibration -III: Adjustable mechanism.- Chapter 21 Vibration energy harvesting by employing nonlinear characteristics and structural benefits I.- Chapter 22 Vibration energy harvesting by employing nonlinear characteristics and structural benefits II.- Chapter 23 Vibration energy harvesting by employing nonlinear characteristics and structural benefits III.- Chapter 24 Structure optimization method for improving energy harvesting.- Chapter 25 Design of Quasi-Zero-Stiffness Sensor -I: without X-structures.- Chapter 26 Design of Quasi-Zero-Stiffness Sensor -I: with X-structures.- Chapter 27 X-structure based sensor systems in noisy environments.- Chapter 28 Fault detection based on X-sensor.- Chapter 28 X-Dynamics-Based Adaptive Tracking Control for Nonlinear Suspension Systems.- Chapter 29 Fuzzy Adaptive Control for Nonlinear Suspension Systems Based on A Bio-inspired Reference Model.- Chapter 30 Switching Logic-Based Saturated Tracking Control based on X-dynamics.- Chapter 31 Fixed-Time Safe-by-Design Control for Uncertain Active Vehicle Suspension Systems with Nonlinear Reference Dynamics.- Chapter 32 Anti-vibration exoskeleton for manipulating demolition tools.- Chapter 33 Design of novel bio-inspired “legs” for tracked robots.- Chapter 34 Design of novel vehicle seat suspension.- Chapter 35 Control of a tracked robot with X-suspension.- .
£999.99
£999.99
£999.99
John Wiley & Sons Inc Encyclopedia of Computational Mechanics 6 Volume Set
Book SynopsisAn extensively expanded and revised edition of the leading major reference work in computational engineering The completely updated and extended second edition of Encyclopedia of Computational Mechanics, Second Edition has, once again, been prepared under the guidance of three of the world''s foremost experts in the field. It follows the same structure as the first edition, yet has been expanded from three to six full volumes to give readers a more in-depth and complete understanding of the topic. Volumes 1 & 2 (Fundamentals) contain contributions related to mathematics, mechanics, and computer science, and are structured as discretization methods, treating approximations with finite differences, discrete variational forms, boundary integral equations and further problem-oriented techniques, mesh-based and meshfree discretizations and the generation and visualization of geometry; Isogeometric analysis as well as various direct and iterative solvers; time-Table of ContentsVolume 1: Fundamentals – Part 1 Contributors to Volume 1 ix Preface xi 1 Fundamentals: Introduction and Survey 1Erwin Stein 2 Finite Difference Methods 15Owe Axelsson 3 Interpolation and Quasi-Interpolation in h- and hp-Version Finite Element Spaces 67Thomas Apel/Jens M. Melenk 4 Finite Element Methods 101Susanne C. Brenner/Carsten Carstensen 5 Mixed Finite Element Methods 149Ferdinando Auricchio/L. Beirão da Veiga/F. Brezzi/C. Lovadina 6 Spectral Methods 203Claudio Canuto/Alfio Quarteroni 7 Mesh Generation and Mesh Adaptivity: Theory and Techniques 219Paul Louis George/H. Borouchaki/F. Alauzet/P. Laug/A. Loseille/D. Marcum/L. Maréchal 8 Plates and Shells: Asymptotic Expansions and Hierarchical Models 271Monique Dauge/Erwan Faou/Zohar Yosibash 9 Iterative Solutions of Nonlinear Systems, Solution Manifolds, and Bifurcations 311Werner C. Rheinboldt 10 Arbitrary Lagrangian–Eulerian Methods 339Jean Donea/Antonio Huerta/Jean-Philippe Ponthot/Antonio Rodríguez-Ferran 11 Mathematical Foundations of Elastoplastic Deformations in Solids 363B. Daya Reddy 12 Predictive Computational Science: Computer Predictions in the Presence of Uncertainty 391John Tinsley Oden/Ivo Babuška/Danial Faghihi 13 Uncertainty Quantification and Bayesian Inversion 417Hermann G. Matthies Contents for Volumes 2–6 469 Subject Index 481 Volume 2: Fundamentals – Part 2 Contributors to Volume 2 ix Preface xi 14 Mathematics of Isogeometric Analysis: A Conspectus 589Thomas J. R. Hughes/Giancarlo Sangalli 15 Isogeometric Analysis: Representation of Geometry 629Michael Haberleitner/Bert Jüttler/Michael A. Scott/Derek C. Thomas 16 Meshfree Methods 653Antonio Huerta/Ted Belytschko/Sonia Fernández-Méndez/Timon Rabczuk/Xiaoying Zhuang/Marino Arroyo 17 Reproducing Kernel Particle Method for Solving Partial Differential Equations 691Jiun-Shyan Chen/Wing Kam Liu/Michael C. Hillman/Sheng-Wei Chi/Yanping Lian/Miguel A. Bessa 18 Adaptive Wavelet Techniques in Numerical Simulation 735Albert Cohen/Wolfgang Dahmen/Ronald DeVore 19 Discontinuous Petrov–Galerkin (DPG) Method 777Leszek Demkowicz/Jay Gopalakrishnan 20 Finite Element Methods for Maxwell’s Equations 793Leszek Demkowicz 21 Adaptive Computational Methods for Parabolic Problems 813Kenneth Eriksson/Claes Johnson/A. Logg 22 Boundary Element Methods: Foundation and Error Analysis 841George C. Hsiao/O. Steinbach/W. L. Wendland 23 Coupling of Boundary Element Methods and Finite Element Methods 903Ernst P. Stephan 24 Time-Dependent Problems with the Boundary Integral Equation Method 943Martin Costabel/Francisco-Javier Sayas 25 Linear Algebraic Solvers and Eigenvalue Analysis 967Henk A. van der Vorst/Cornelis Vuik 26 Multigrid Methods for FEM and BEM Applications 995Wolfgang Hackbusch 27 Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM 1013Wolfgang Hackbusch 28 Domain Decomposition Methods and Preconditioning 1031Vadim G. Korneev/Ulrich Langer Contents for Volumes 1, 3–6 1069 Subject Index 1081 Volume 3: Solids and Structures – Part 1 Contributors to Volume 3 ix Preface xi 1 Solids and Structures: Introduction and Survey 1René de Borst 2 Finite Element Methods for Elasticity with Error-Controlled Discretization and Model Adaptivity 5Erwin Stein/Marcus Olavi Rüter 3 Model Reduction Methods 101Francisco Chinesta/Antonio Huerta/Gianluigi Rozza/Karen Willcox 4 The p-Version of the Finite Element and Finite Cell Methods 137Alexander Düster/Ernst Rank/Barna Szabó 5 Extended Finite Element Methods 173Nicolas Moës/J. E. Dolbow/N. Sukumar 6 Models and Finite Elements for Thin-Walled Structures 195Manfred Bischoff/E. Ramm/J. Irslinger 7 Computing with Rotations: Algorithms and Applications 281Ignacio Romero/Martin Arnold 8 Buckling 309Eduard Riks 9 Computational Structural Dynamics 339Gregory M. Hulbert 10 Computational Contact Mechanics with the Finite Element Method 365L. De Lorenzis/Peter Wriggers/C. Weißenfels 11 Discrete Element Methods 411Nenad Bićanić 12 Elastoplastic and Viscoplastic Deformations in Solids and Structures 449Francisco Armero 13 Crystal Plasticity and Evolution of Polycrystalline Microstructure 491Christian Miehe/Jan Schotte 14 Computational Modeling of Forming Processes 515D. Perić/D. R. J. Owen 15 Explicit Finite Element Methods for Large Deformation Problems in Solid Mechanics 567David J. Benson Contents for Volumes 1, 2, 4–6 611 Subject Index 623 Volume 4: Solids and Structures – Part 2 Contributors to Volume 4 ix Preface xi 16 Shakedown and Safety Assessment 731Nestor Zouain 17 Damage, Material Instabilities, and Failure 779René de Borst/Clemens V. Verhoosel 18 Computational Fracture Mechanics 829Anthony R. Ingraffea/René de Borst 19 Homogenization Methods and Multiscale Modeling 855Tarek I. Zohdi 20 Homogenization Methods and Multiscale Modeling: Nonlinear Problems 879Marc G. D. Geers/Varvara G. Kouznetsova/Karel Matouš/Julien Yvonnet 21 Computational Concrete Mechanics 913Roman Lackner/Christian Pichler/Roland Traxl/Herbert A. Mang 22 Multifield Problems 965Bernhard A. Schrefler/L. Simoni/B. Markert 23 Fluid–Structure Interaction Problems 1001Roger Ohayon/Jean-Sébastien Schotté 24 Acoustics 1013Lonny L. Thompson/Peter M. Pinsky 25 Computational Geomechanics Including Consolidation 1039John P. Carter/John C. Small 26 Computational Modeling of Damage and Failures in Composite Laminates 1075J. N. Reddy/D. H. Robbins 27 Computational Biomechanics of Soft Biological Tissues: Arterial Walls, Hearts Walls, and Ligaments 1117Gerhard A. Holzapfel 28 Identification of Material Parameters for Constitutive Equations 1165Rolf Mahnken 29 Stochastic Finite Element Methods 1187Miguel A. Gutiérrez/Steen Krenk 30 Shape Optimization 1213Kai-Uwe Bletzinger 31 Topology Optimization 1255Kurt Maute 32 Boundary Integral Equation Methods for Elastic and Plastic Problems 1289Marc Bonnet 33 Boundary Element Methods for the Dynamic Analysis of Elastic, Viscoelastic, and Piezoelectric Solids 1323Lothar Gaul/Martin Kögl/Friedrich Moser/Martin Schanz Contents for Volumes 1–3, 5, 6 1345 Subject Index 1355 Volume 5: Fluids – Part 1 Contributors to Volume 5 vii Preface ix 1 Fluids: Introduction and Survey 1Thomas J. R. Hughes 2 Multiscale and Stabilized Methods 5Thomas J. R. Hughes/Guglielmo Scovazzi/Leopoldo P. Franca 3 Variational Multiscale Methods in Computational Fluid Dynamics 69Ramon Codina/Santiago Badia/Joan Baiges/Javier Principe 4 Spectral Element and hp Methods 97Yue Yu/Robert M. Kirby/George Em Karniadakis 5 Discontinuous Galerkin Methods for Computational Fluid Dynamics 141Bernado A. Cockburn 6 Finite Volume Methods: Foundation and Analysis 205Timothy Barth/Raphaèle Herbin/Mario Ohlberger 7 High-Order Methods for CFD 265R. Abgrall/Mario Ricchiuto 8 Particle Methods in Computational Fluid Dynamics 319Sergio R. Idelsohn/Eugenio Oñate/Pablo Becker 9 Residual Distribution Schemes: Foundations and Analysis 361Herman Deconinck/Mario Ricchiuto 10 Vortex Methods 415G. S. Winckelmans 11 Computational Phase-Field Modeling 439Hector Gomez/Kristoffer G. van der Zee 12 Incompressible Viscous Flows 475Rolf Rannacher 13 Computability and Adaptivity in CFD 503Johan Hoffman/Johan Jansson/Niclas Jansson/Rodrigo Vilela De Abreu/Claes Johnson Contents for Volumes 1–4, 6 525 Subject Index 537Volume 6: Fluids – Part 2 Contributors to Volume 6 ix Preface xi 14 Dynamic Multilevel Methods and Turbulence 645Thierry Dubois/Francois Jauberteau/Roger M. Temam 15 Turbulence Direct Numerical Simulation and Large-Eddy Simulation 721Pierre Sagaut 16 Turbulence Closure Models for Computational Fluid Dynamics 753Paul A. Durbin 17 Aerodynamics 775Freddie D. Witherden/Antony Jameson 18 Industrial Aerodynamics 883Frédéric L. Chalot 19 CFD-Based Nonlinear Computational Aeroelasticity 935Charbel Farhat 20 The Use of Mixed Finite Element Methods for Viscoelastic Fluid Flow Analysis 957Frank P. T. Baaijens/Martien A. Hulsen/Patrick D. Anderson 21 Combustion 975Thierry J. Poinsot/Denis P. Veynante 22 Blood Flow 1005C. Alberto Figueroa/Charles A. Taylor/Alison L. Marsden23 Fluid–Structure Interaction and Flows with Moving Boundaries and Interfaces 1037Tayfun E. Tezduyar/Kenji Takizawa/Yuri Bazilevs 24 Ship Hydrodynamics 1091Eugenio Oñate/Julio García-Espinosa/Sergio R. Idelsohn/Borja Serván-Camas 25 Boundary-Element Methods and Wave Loading on Ships 1137Panagiotis D. Kaklis/Constantinos G. Politis/Konstantinos A. Belibassakis/Alexandros I. Ginnis/Konstantinos V. Kostas/Theodoros P. Gerostathis Contents for Volumes 1–5 1173 Subject Index 1185
£1,540.19
Springer London Ltd Information and Coding Theory
Book SynopsisThis text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.Table of Contents1. Source Coding.- 1.1 Definitions and Examples.- 1.2 Uniquely Decodable Codes.- 1.3 Instantaneous Codes.- 1.4 Constructing Instantaneous Codes.- 1.5 Kraft’s Inequality.- 1.6 McMillan’s Inequality.- 1.7 Comments on Kraft’s and McMillan’s Inequalities.- 1.8 Supplementary Exercises.- 2. Optimal Codes.- 2.1 Optimality.- 2.2 Binary Huffman Codes.- 2.3 Average Word-length of Huffman Codes.- 2.4 Optimality of Binary Huffman Codes.- 2.5 r-ary Huffman Codes.- 2.6 Extensions of Sources.- 2.7 Supplementary Exercises.- 3. Entropy.- 3.1 Information and Entropy.- 3.2 Properties of the Entropy Function.- 3.3 Entropy and Average Word-length.- 3.4 Shannon-Fano Coding.- 3.5 Entropy of Extensions and Products.- 3.6 Shannon’s First Theorem.- 3.7 An Example of Shannon’s First Theorem.- 3.8 Supplementary Exercises.- 4. Information Channels.- 4.1 Notation and Definitions.- 4.2 The Binary Symmetric Channel.- 4.3 System Entropies.- 4.4 System Entropies for the Binary Symmetric Channel.- 4.5 Extension of Shannon’s First Theorem to Information Channels.- 4.6 Mutual Information.- 4.7 Mutual Information for the Binary Symmetric Channel.- 4.8 Channel Capacity.- 4.9 Supplementary Exercises.- 5. Using an Unreliable Channel.- 5.1 Decision Rules.- 5.2 An Example of Improved Reliability.- 5.3 Hamming Distance.- 5.4 Statement and Outline Proof of Shannon’s Theorem.- 5.5 The Converse of Shannon’s Theorem.- 5.6 Comments on Shannon’s Theorem.- 5.7 Supplementary Exercises.- 6. Error-correcting Codes.- 6.1 Introductory Concepts.- 6.2 Examples of Codes.- 6.3 Minimum Distance.- 6.4 Hamming’s Sphere-packing Bound.- 6.5 The Gilbert-Varshamov Bound.- 6.6 Hadamard Matrices and Codes.- 6.7 Supplementary Exercises.- 7. Linear Codes.- 7.1 Matrix Description of Linear Codes.- 7.2 Equivalence of Linear Codes.- 7.3 Minimum Distance of Linear Codes.- 7.4 The Hamming Codes.- 7.5 The Golay Codes.- 7.6 The Standard Array.- 7.7 Syndrome Decoding.- 7.8 Supplementary Exercises.- Suggestions for Further Reading.- Appendix A. Proof of the Sardinas-Patterson Theorem.- Appendix B. The Law of Large Numbers.- Appendix C. Proof of Shannon’s Fundamental Theorem.- Solutions to Exercises.- Index of Symbols and Abbreviations.
£33.24
Springer Nature Switzerland AG Statistical Physics of Complex Systems: A Concise Introduction
Book SynopsisThis third edition of Statistical Physics of Complex Systems has been expanded to provide more examples of applications of concepts and methods from statistical physics to the modeling of complex systems. These include avalanche dynamics in materials, models of social agents like road traffic or wealth repartition, the real space aspects of biological evolution dynamics, propagation phenomena on complex networks, formal neural networks and their connection to constraint satisfaction problems.This course-tested textbook provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. It covers topics such as non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. The original spirit of the book is to remain accessible to a broad, non-specialized readership. The format is a set of concise, modular, and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses.Table of ContentsChapter 1. Equilibrium Statistical Physics.- Chapter 2. Non-equilibrium Dynamics and Stochastic Formalism.- Chapter 3. Models of particles driven out of equilibrium.- Chapter 4. Simple models of socials agents.- Chapter 5. Evolutionary dynamics.- Chapter 6. Complex networks.- Chapter 7. Statistical description of chaotic deterministic systems.- Chapter 8. A probabilistic viewpoint on fluctuations and rare events.
£999.99
Springer Nature Switzerland AG Modeling Biomaterials
Book SynopsisThe investigation of the role of mechanical and mechano-chemical interactions in cellular processes and tissue development is a rapidly growing research field in the life sciences and in biomedical engineering. Quantitative understanding of this important area in the study of biological systems requires the development of adequate mathematical models for the simulation of the evolution of these systems in space and time. Since expertise in various fields is necessary, this calls for a multidisciplinary approach.This edited volume connects basic physical, biological, and physiological concepts to methods for the mathematical modeling of various materials by pursuing a multiscale approach, from subcellular to organ and system level. Written by active researchers, each chapter provides a detailed introduction to a given field, illustrates various approaches to creating models, and explores recent advances and future research perspectives. Topics covered include molecular dynamics simulations of lipid membranes, phenomenological continuum mechanics of tissue growth, and translational cardiovascular modeling. Modeling Biomaterials will be a valuable resource for both non-specialists and experienced researchers from various domains of science, such as applied mathematics, biophysics, computational physiology, and medicine. Table of ContentsFarago, O., A Beginner's Short Guide to Membrane Biophysics.- Misailidis, G., Ferenc, J., Tsiairis, C., Self-Organization of Tissues through Biochemical and Mechanical Signals.- Righi, M., Balbi, V., Foundations of Viscoelasticity and Application to Soft Tissue Mechanics.- Klika, V., Modeling of Biomaterials as an Application of the Theory of Mixtures.- Miller, R., et al., Modeling Biomechanics in the Healthy and Diseased Heart.- Chabiniok, R., et al., Translational Cardiovascular Modeling: Tetralogy of Fallot and Modeling of Diseases.
£56.99
Springer Nature Switzerland AG Mesh Generation and Adaptation: Cutting-Edge Techniques
Book SynopsisThe developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.Table of Contents1 Carolyn Woeber, Advances in H-P Mesh Adaptation for Finite Element Methods.- 2 Chiara Nardoni, Remeshing techniques in shape and topology optimization.- 3 Dimitrios Papadimitrakis, Building direction fields on the medial object to generate 3D domain decompositions for hexahedral meshing.- 4 Franck Ledoux, Interecode hexahedral meshing from Eulerian to Lagrangian simulations.- 5 Jean-Francois Remacle, A robust approach for mesh generation of surfaces with irregular/singular parametrizations.6 Jens Lang, Sample Adaptive Multilevel Stochastic Collocation Schemes in Uncertainty Quantification of Gas Transport in Networks.- 7 Jessica Zhang, Hexahedral dominant mesh generation and spline modeling for isogeometric analysis.- 8 Juan José Ródenas, Mesh adaptivity in the framework of the Cartesian grid finite element method, cgFEM.- 9 Mario Ricchiuto, h- and r-adaptation on simplicial meshes: implementation and applications.- 10 Onkar Sahni, Geometry and Adaptive Mesh Update Procedures for Ballistics Simulations.- 11 Per-Olof Persson, HOIST: High-Order Implicit Shock Tracking using an optimization-based discontinuous Galerkin method.- 12 Rainald Lohner, Breakthrough ‘workarounds’ in unstructured mesh generation.- 13 Simone Appella, An adaptive moving mesh method with conservative interpolation based on local projection.- 14 Suzanne Shontz, Global optimization strategies for automated edge grid generation.
£104.49
Springer Nature Switzerland AG Modeling Reality with Mathematics
Book SynopsisSimulating the behavior of a human heart, predicting tomorrow's weather, optimizing the aerodynamics of a sailboat, finding the ideal cooking time for a hamburger: to solve these problems, cardiologists, meteorologists, sportsmen, and engineers can count on math help. This book will lead you to the discovery of a magical world, made up of equations, in which a huge variety of important problems for our life can find useful answers.Trade Review“By providing tools and current examples on modeling issues ... the book makes a contribution answering the becoming more and more prevalent presence of Mathematics in our daily lives. The examples come essentially from the physical and natural sciences, but the book can be relied on in other areas, including the humanities, aside seminal works on mathematical modeling ... . The journey consists in eight rigorous and enjoying chapters.” (Lisa Morhaim, zbMATH 1519.00001, 2023)Table of Contents1 The model, aka the magic box.- 2 Weather Forecast Models.- 3 Epidemics: the Mathematics of Contagion.- 4 Mathematical Hearth.- 5 Mathematics in the Wind.- 6 Flying on Sun Power.- 7 The taste for Mathematics.- 8 Conclusions.
£17.99
Springer Nature Switzerland AG Droplets and Sprays: Simple Models of Complex Processes
Book SynopsisThis book acts as a guide to simple models that describe some of the complex fluid dynamics, heat/mass transfer and combustion processes in droplets and sprays. Attention is focused mainly on the use of classical hydrodynamics, and a combination of kinetic and hydrodynamic models, to analyse the heating and evaporation of mono- and multi-component droplets. The models were developed for cases when small and large numbers of components are present in droplets. Some of these models are used for the prediction of time to puffing/micro-explosion of composite water/fuel droplets — processes that are widely used in combustion devices to stimulate disintegration of relatively large droplets into smaller ones. The predictions of numerical codes based on these models are validated against experimental results where possible. In most of the models, droplets are assumed to be spherical; some preliminary results of the generalisation of these models to the case of non-spherical droplets, approximating them as spheroids, are presented.Table of ContentsSpray Formation and Penetration.- Heating of Non-evaporating Droplets.- Heating and Evaporation of Mono-component Droplets.- Heating and Evaporation of Multi-component Droplets.- Processes in Composite Droplets.- Kinetic Modelling of Droplet Heating and Evaporation.- Heating, Evaporation and Autoignition of Sprays.- Concluding Comments.
£999.99
Springer International Publishing AG Cancer, Complexity, Computation
Book SynopsisThis book presents unique compendium of groundbreaking ideas where scientists from many different backgrounds are united in their interest in interdisciplinary approaches towards origins and development of cancers, innovative ways of searching for cancer treatment and the role of cancer in the evolution. Chapters give an unequivocal slice of all areas that relate to a quest for understanding cancer and its origin as many-fold nonlinear system, complexity of the cancer developments, a search for cancer treatment using artificial intelligence and evolutionary optimisation, novel modelling techniques, molecular origin of cancer, the role of cancer in evolution of species, interpretation of cancer in terms of artificial life and artificial immune systems, swarm intelligence, cellular automata, computational systems biology, genetic networks, cellular computing, validation through in vitro/vivo tumour models and tumour on chip devices. The book is an inspiring blend of theoretical and experimental results, concepts and paradigms. Distinctive features The book advances widely popular topics of cancer origin, treatment and understanding of its progress The book is comprised of unique chapters written by world top experts in theoretical and applied oncology, complexity theory, mathematics, computer science. The book illustrates attractive examples of mathematical and computer models and experimental setups.Table of ContentsWhat Cancer Is by J. James Frost.- Complementarity, Complexity and the Fokker-Planck Equation; From the Microscale Quantum Stochastic Events to Fractal Dynamics of Cancer.- Quantitative in vivo Imaging to Enable Tumor Forecasting and Treatment Optimization.
£999.99
Springer International Publishing AG Complex, Intelligent and Software Intensive Systems: Proceedings of the 16th International Conference on Complex, Intelligent and Software Intensive Systems (CISIS-2022)
Book SynopsisSoftware intensive systems are systems, which heavily interact with other systems, sensors, actuators, devices, other software systems, and users. More and more domains are involved with software intensive systems, e.g., automotive, telecommunication systems, embedded systems in general, industrial automation systems, and business applications. Moreover, the outcome of web services delivers a new platform for enabling software intensive systems. Complex systems research is focused on the overall understanding of systems rather than its components. Complex systems are very much characterized by the changing environments in which they act by their multiple internal and external interactions. They evolve and adapt through internal and external dynamic interactions. The development of intelligent systems and agents, which is each time more characterized by the use of ontologies and their logical foundations, builds a fruitful impulse for both software intensive systems and complex systems. Recent research in the field of intelligent systems, robotics, neuroscience, artificial intelligence, and cognitive sciences is a very important factor for the future development and innovation of software intensive and complex systems. The aim of the book “Complex, Intelligent and Software Intensive Systems” is to deliver a platform of scientific interaction between the three interwoven challenging areas of research and development of future ICT-enabled applications: software intensive systems, complex systems, and intelligent systems.
£999.99
Springer International Publishing AG Cavity Dynamics and Splashing Mechanism in Droplets
Book SynopsisAdditionally, it investigates the dynamics of droplet spattering by categorizing spatter patterns under diverse conditions, discusses the critical stability of droplet surfaces, and reveals the mechanisms by which cavitation bubble collapses induce droplet breakage.
£999.99
Springer Nature Switzerland AG Advances in Engineering Research and Application
£161.99
De Gruyter Integral Transforms and Applications
Book SynopsisThis work presents the guiding principles of Integral Transforms needed for many applications when solving engineering and science problems. As a modern approach to Laplace Transform, Fourier series and Z-Transforms it is a valuable reference for professionals and students alike.
£129.67
De Gruyter Fractional Differential Equations: A Coincidence Degree Approach
Book SynopsisThis book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
£146.78
Springer International Publishing AG Kalman Filtering: with Real-Time Applications
Book SynopsisThis new edition presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method consisting of a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering for time-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. Most filtering algorithms are illustrated by using simplified radar tracking examples. The style of the book is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with a minimum knowledge of linear algebra, probability theory, and system engineering. Over 100 exercises and problems with solutions help deepen the knowledge. This new edition has a new chapter on filtering communication networks and data processing, together with new exercises and new real-time applications.Trade Review“This book is suitable for self-study as well as for use in a one-quarter or one-semester introductory course on Kalman filtering theory for upper-division undergraduate or first-year graduate to applied mathematics or engineering students.” (Mikhail P. Moklyachuk, zbMath 1416.93001, 2019)“Kalman filtering (KF) is a wide class of algorithms designed, in words selected from this outstanding book, ‘to obtain an optimal estimate’ of the state of a system from information in the presence of noise. … It is also written to serve as a reference for engineers … . The book has my highest recommendation, and it will reward readers for careful and iterative study of its text and well-designed exercises.” (Computing Reviews, October, 2017)Table of ContentsPreliminaries.- Kalman Filter: An Elementary Approach.- Orthogonal Projection and Kalman Filter.- Correlated System and Measurement Noise Processes.- Colored Noise.- Limiting Kalman Filter.- Sequential and Square-Root Algorithms.- Extended Kalman Filter and System Identification.- Decoupling of Filtering Equations.- Kalman Filtering for Interval Systems.- Wavelet Kalman Filtering.- Distributed Estimation on Sensor Networks.- Notes.- Answers and Hints to Exercises.
£999.99
McGraw-Hill Education - Europe Schaums Outline of Basic Mathematics with
Book SynopsisConfusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.Table of ContentsSchaum's Outline of Basic Mathematics with Applications to Science and Technology, 2ed 1. Decimal Fractions 2. Measurement and Scientific Notation 3. Common Fractions 4. Percentage 5. Essentials of Algebra 6. Ratio and Proportion 7. Linear Equations 8. Exponents and Radicals 9. Logarithms 10. Quadratic Equations and Square Roots 11. Essentials of Plane Geometry 12. Solid Figures 13. Trigonometric Figures 14. Solution of Triangles 15. Vectors 16. Radian Measure 17. Conic Sections 18. Numbering Systems 19.Arithmetic Operations in a Computer 20.Counting Methods 21.Probability and Odds 22.Statistics
£33.29
Springer-Verlag New York Inc. Advanced Mathematical Methods for Scientists and
Book SynopsisI Fundamentals.- 1 Ordinary Differential Equations.- 2 Difference Equations.- II Local Analysis.- 3 Approximate Solution of Linear Differential Equations.- 4 Approximate Solution of Nonlinear Differential Equations.- 5 Approximate Solution of Difference Equations.- 6 Asymptotic Expansion of Integrals.- III Perturbation Methods.- 7 Perturbation Series.- 8 Summation of Series.- IV Global Analysis.- 9 Boundary Layer Theory.- 10 WKB Theory.- 11 Multiple-Scale Analysis.Trade Review"This book is a reprint of the original published by McGraw-Hill \ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, "Asymptotic methods and perturbation theory". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics. This is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic." (A.D. Wood, Mathematical Reviews) Table of ContentsI Preface. 1 Ordinary Differential Equations. 2 Difference Equations. 3 Approximate Solution of Linear Differential Equations. 4 Approximate Solution of Nonlinear Equations. 5 Approximate Solution of Difference Equations. 6 Asymptotic Expansion of Integrals. 7 Perturbation Series. 8 Summation of Series. 9 Boundary Layer Theory. 10 WKB Theory. 11 Multiple Scales Analysis. Appendix, References, Index
£71.24
Cambridge University Press Numerical Recipes Source Code CDROM 3rd Edition
Book SynopsisThis CD-ROM contains complete source code in C++ for the brand-new Numerical Recipes, Third Edition, plus source code from all earlier editions.Trade Review' … an essential component of any serious scientific or engineering library.' Computing Reviews' … an instant 'classic,' a book that should be purchased and read by anyone who uses numerical methods …' American Journal of Physics' … replete with the standard spectrum of mathematically pretreated and coded/numerical routines for linear equations, matrices and arrays, curves, splines, polynomials, functions, roots, series, integrals, eigenvectors, FFT and other transforms, distributions, statistics, and on to ODE's and PDE's … delightful.' Physics in Canada' … a must for anyone doing scientific computing.' Journal of the American Chemical Society'The authors are to be congratulated for providing the scientific community with a valuable resource.' The Scientist'If you were to have only a single book on numerical methods, this is the one I would recommend.' IEEE Computational Science & EngineeringTable of Contents1. Preliminaries; 2. Solution of linear algebraic equations; 3. Interpolation and extrapolation; 4. Integration of functions; 5. Evaluation of functions; 6. Special functions; 7. Random numbers; 8. Sorting and selection; 9. Root finding and nonlinear sets of equations; 10. Minimization or maximization of functions; 11. Eigensystems; 12. Fast Fourier transform; 13. Fourier and spectral applications; 14. Statistical description of data; 15. Modeling of data; 16. Classification and inference; 17. Integration of ordinary differential equations; 18. Two point boundary value problems; 19. Integral equations and inverse theory; 20. Partial differential equations; 21. Computational geometry; 22. Less-numerical algorithms; References.
£999.99
Wellesley-Cambridge Press,U.S. Computational Science and Engineering
Book SynopsisEncompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang's 18.085 courses at MIT, are provi
£999.99
Springer-Verlag New York Inc. Principles of Systems Science
Book SynopsisThis pioneering text provides a comprehensive introduction to systems structure, function, and modeling as applied in all fields of science and engineering. Systems understanding is increasingly recognized as a key to a more holistic education and greater problem solving skills, and is also reflected in the trend toward interdisciplinary approaches to research on complex phenomena. While the concepts and components of systems science will continue to be distributed throughout the various disciplines, undergraduate degree programs in systems science are also being developed, including at the authors' own institutions. However, the subject is approached, systems science as a basis for understanding the components and drivers of phenomena at all scales should be viewed with the same importance as a traditional liberal arts education. Principles of Systems Science contains many graphs, illustrations, side bars, examples, and problems to enhance understanding. Frombasic principles of orgaTrade Review“Principles of systems science consists of 14 chapters organized in five parts. … This book is a feast--full of systems theory and sage guidance about systems practice.” (Ernest Hughes, Computing Reviews, computingreviews.com, August, 2016)Table of ContentsPart I: Introduction to Systems Science.- A Helicopter View.- Systems Principles in the Real World: Understanding Drug Resistant TB.- Part II: Structural and Functional Aspects.- Organized Wholes.- Networks: Connections Within and Without.- Complexity.- Behavior: System Dynamics.- Part III: The Intangible Aspects of Organization: Maintaining and Adapting.- Information, Meaning, Knowledge, and Communications.- Computational Systems.- Cybernetics: The Role of Information and Computation in Systems.- Part IV: Evolution.- Auto-Organization and Emergence.- Evolution.- Part V: Methodological Aspects.- Systems Analysis.- Systems Modeling.- Systems Engineering.
£59.99
Springer Nature Switzerland AG Complex Systems Design & Management: Proceedings
Book SynopsisThis book contains all refereed papers accepted during the ninth edition of the conference that took place at the Cité Internationale Universitaire de Paris on December 18-19, 2018.Mastering complex systems requires an integrated understanding of industrial practices as well as sophisticated theoretical techniques and tools. This explains the creation of an annual go-between forum in Paris dedicated to academic researchers & industrial actors working on complex industrial systems architecture, modeling & engineering.These proceedings cover the most recent trends in the emerging field of Complex Systems, both from an academic and a professional perspective. A special focus is put on “Products & services development in a digital world”. The CSD&M Paris 2018 conference is organized under the guidance of CESAM Community (http://cesam.community/en). CESAM Community has been developed since 2010 by the non-profit organization CESAMES Association to organize the sharing of good practices in Enterprise and Systems Architecture and to certify the level of knowledge and proficiency in this field through CESAM certification.
£999.99
Springer Nature Switzerland AG A Primer on Mathematical Modelling
Book SynopsisIn this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers.A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites.This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasioThis book is addressed to any student interested in learning how to construct and apply mathematical models.Trade Review“The book is extremely well written and is spectacular in its beauty. It is full with colorful pictures and figures, with many clear graphs, algorithms, codes (written in Octave) and tables, which makes reading the book a real joy. … This is a superb book for readers doing their initial steps in the wonderful world of modeling. I recommended it to my 17-year-old nephew, who is now reading it with great enthusiasm.” (Dan Givoli, IACM Expressions, Issue 50, July, 2022)“It is thus appropriate for junior college students. It is even suitable for self-study and independent research projects. … Professors Quarteroni and Gervasio have written a nice and fun book, which also constitutes a useful toolbox for anyone who wants to get acquainted with the methods of Applied Mathematics.” (Fernando Tohmé, zbMATH 1475.00018, 2022)“The book is an outstanding document from an educational point of view. ... The interaction of the simplicity of mathematical methods and the sophistication of the three main applications is very well done. In summary, this new book is highly recommended for both undergraduate and graduate students who are interested in mathematical modeling … .” (Thomas Wick, SIAM Review, Vol. 63 (3), September, 2021)Table of Contents1. A warm-up to models.- 2. Getting started.- 3. Reckoning with the computer.- 4. A virtual surfer for the web.- 5. A network of capillaries.- 6. Predators and preys in the maths ocean.- 7. Take-home message.- 8. Solutions to exercises.
£33.24
Springer Nature Switzerland AG Socio-economic Systems: Paradigms for the Future
Book SynopsisThis book is reflective of a science-based vision of the future development paradigm of economic and social systems. It deals with the digitization as the technological basis for the future development of economic and social systems and presents a review of groundbreaking technologies and prospects for their application. The specific character of the industry and prospects for the application of digital technologies in business are analyzed. A rationale is provided for future prospects for the sustainable development of economic and social systems in a digital economy. The authors determine the process of the formation and development of the information-oriented society, social and educational aspects of the digitization, as well as the institutional framework of the digital future of social and economic systems. The book combines the best works following the results of the 12th International Research-to-Practice Conference “Artificial Intelligence: Anthropogenic Nature vs. Social Origin” that was held by the Institute of Scientific Communications (ISC) in cooperation with the Siberian Federal University and the Krasnoyarsk Regional Fund of support of scientific and scientific–technical activities on 5–7 December 2019, in Krasnoyarsk, Russia, as well as following the results of the 3rd International Research-to-Practice Conference “Economic and Social Systems: Paradigms for the Future” that was held by the ISC in cooperation with the Pyatigorsk State University on 5–6 February 2020. The target audience of the book consists of representatives of the academic community concerned with the future prospects for the development of economic and social systems, as well as economic agents engaged in the digitization of business processes, and representatives of public agencies regulating the development of business systems for their progressivity, sustainability and competitiveness. Table of ContentsDigitization as the technological basis for the future development of economic and social systems: a review of groundbreaking technologies and prospects of their application.- Industry specifics and prospects for business application of digital technologies.- Sustainable development of economic and social systems: future prospects for the digital economy.- Formation and development of the information society: social and educational dimensions of digitization.- Institutional framework for the digital future of economic and social systems.
£123.49
Springer Nature Switzerland AG Hands-on Signal Analysis with Python: An
Book SynopsisThis book provides the tools for analyzing data in Python: different types of filters are introduced and explained, such as FIR-, IIR- and morphological filters, as well as their application to one- and two-dimensional data. The required mathematics are kept to a minimum, and numerous examples and working Python programs are included for a quick start. The goal of the book is to enable also novice users to choose appropriate methods and to complete real-world tasks such as differentiation, integration, and smoothing of time series, or simple edge detection in images. An introductory section provides help and tips for getting Python installed and configured on your computer. More advanced chapters provide a practical introduction to the Fourier transform and its applications such as sound processing, as well as to the solution of equations of motion with the Laplace transform. A brief excursion into machine learning shows the powerful tools that are available with Python. This book also provides tips for an efficient programming work flow: from the use of a debugger for finding mistakes, code-versioning with git to avoid the loss of working programs, to the construction of graphical user interfaces (GUIs) for the visualization of data. Working, well-documented Python solutions are included for all exercises, and IPython/Jupyter notebooks provide additional help to get people started and outlooks for the interested reader.Table of ContentsIntroduction.- Python.- Data Input.- Data Display.- Data Filtering.- Event- and Feature-Finding.- Statistics.- Parameter Fitting.- Spectral Signal Analysis.- Solving Equations of Motion.- Machine Learning.- Useful Programming Tools.
£44.99
Springer Nature Switzerland AG Non-Local Cell Adhesion Models: Symmetries and
Book SynopsisThis monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.Trade Review“Modelers who wish to use similar approaches in their modeling will find this a good source of base information, as well as a valuable guide for initiating similar analyses for their own models. Analysts wishing to expand our understanding … will find this book a fine building block. It could also prove a useful resource for graduate students looking for potential projects … . this monograph is an admirable attempt … and hopefully will inspire significant further study.” (Kevin Painter, SIAM Review, Vol. 64 (1), March, 2022)“The detailed analysis, as presented here, shows a stimulating interaction between model symmetries, mathematical analysis, and biological reality, which probably are inspired the authors and hopefully the readers of this book too.” (Andrey Zahariev, zbMATH 1473.92001, 2021)Table of ContentsIntroduction.- Preliminaries.- The Periodic Problem.- Basic Properties.- Local Bifurcation.- Global Bifurcation.- Non-local Equations with Boundary Conditions.- No-flux Boundary Conditions.- Discussion and future directions.
£999.99
Springer Nature Switzerland AG Recent Advances in Industrial and Applied
Book SynopsisThis 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.Table of Contents1 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.
£33.24
Springer Nature Switzerland AG Foundation Mathematics for Science and
Book SynopsisThis compact textbook provides a foundation in mathematics for STEM students entering university. The book helps students from different disciplines and backgrounds make the transition to university. Based on the author’s teaching for many years, the book can be used as a textbook and a resource for lecturers and professors. Its accessibility is such that it is can also be used by students in their final year in school before university and help them continue their mathematical studies at college. The book is designed so that students will return to the book repeatedly as their undergraduate careers progress. Although compact and concise, it loses no rigour. All the topics are carefully explained meaningfully, not just presented as a set of rules or rote-learned procedures. Table of ContentsTrigonometry.- Real and Complex Numbers.- Vector Algebra.- Matrices.- Differentiation.
£999.99
Springer Nature Switzerland AG Discrete Dynamics: Basic Theory and Examples
Book SynopsisThis book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits. It provides a solid mathematical background and the essential basic knowledge for further developments such as, for instance, deterministic chaos theory, for which many other references are available (but sometimes, without an exhaustive presentation of preliminary notions). Readers will find a discussion of topics sometimes neglected in the research literature, such as a comparison between different predictions achievable by the discrete time model and the continuous time model of the same application. Another novel aspect of this book is an accurate analysis of the way a fixed point may lose stability, introducing and comparing several notions of instability: simple instability, repulsivity, and complete instability. To help the reader and to show the flexibility and potentiality of the discrete approach to dynamics, many examples, numerical simulations, and figures have been included. The book is used as a reference material for courses at a doctoral or upper undergraduate level in mathematics and theoretical engineering.Trade Review“The book is well written, easy to read and has many exciting examples to motivate the results. Therefore, it is a book which deserves to be read.” (José S. Cánovas Peña, Mathematical Reviews, January, 2023)“This quite small book belonging to a series entitled ‘Mathematical Engineering’ is a self-contained introduction to discrete- time systems. Motivated by applications arising from physics, engineering … economics and other natural sciences, it is mainly addressed to students, aiming to show that discrete dynamics deserves its own interest and is not easy to study. … The reviewed book can be considered … as a preliminary study for more complete monographs … .” (Vladimir Răsvan, zbMATH 1492.37001, 2022)Table of ContentsDiscrete dynamical systems.- Stability and attraction.- Bifurcations.- Positive linear systems.
£999.99
Springer International Publishing AG Introduction to Methods for Nonlinear
Book SynopsisThis book has two main objectives: • to provide a concise introduction to nonlinear optimization methods, which can be used as a textbook at a graduate or upper undergraduate level; • to collect and organize selected important topics on optimization algorithms, not easily found in textbooks, which can provide material for advanced courses or can serve as a reference text for self-study and research. The basic material on unconstrained and constrained optimization is organized into two blocks of chapters: • basic theory and optimality conditions • unconstrained and constrained algorithms. These topics are treated in short chapters that contain the most important results in theory and algorithms, in a way that, in the authors’ experience, is suitable for introductory courses. A third block of chapters addresses methods that are of increasing interest for solving difficult optimization problems. Difficulty can be typically due to the high nonlinearity of the objective function, ill-conditioning of the Hessian matrix, lack of information on first-order derivatives, the need to solve large-scale problems. In the book various key subjects are addressed, including: exact penalty functions and exact augmented Lagrangian functions, non monotone methods, decomposition algorithms, derivative free methods for nonlinear equations and optimization problems. The appendices at the end of the book offer a review of the essential mathematical background, including an introduction to convex analysis that can make part of an introductory course.Table of Contents1 Introduction.-2 Fundamental definitions and basic existence results.- 3 Optimality conditions for unconstrained problems in Rn.- 4 Optimality conditions for problems with convex feasible set.- 5 Optimality conditions for Nonlinear Programming.- 6 Duality theory.- 7 Optimality conditions based on theorems of the alternative.- 8 Basic concepts on optimization algorithms.- 9 Unconstrained optimization algorithms.- 10 Line search methods.- 11 Gradient method.- 12 Conjugate direction methods.- 13 Newton’s method.- 14 Trust region methods.- 15 Quasi-Newton Methods.- 16 Methods for nonlinear equations.- 17 Methods for least squares problems.- 18 Methods for large-scale optimization.- 19 Derivative-free methods for unconstrained optimization.- 20 Methods for problems with convex feasible set.- 21 Penalty and augmented Lagrangian methods.- 22 SQP methods.- 23 Introduction to interior point methods.- 24 Nonmonotone methods.- 25 Spectral gradient methods.- 26 Decomposition methods.- Appendix A: basic concepts of linear algebra and analysis.- Appendix B: Differentiation in Rn.- Appendix C: Introduction to convex analysis.
£58.49
Springer International Publishing AG The Probability Integral: Its Origin, Its
Book SynopsisThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessible to anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics.Table of ContentsPrefaceChapter 1: De Moivre and theDiscovery of the Probability IntegralEvaluating the Probability Integral— Part 1Chapter 2: Laplace’s FirstDerivationChapter 3: How Euler Could Have DoneIt Before Laplace (but did he?)Chapter 4: Laplace’s SecondDerivationChapter 5: Generalizing theProbability IntegralChapter 6: Poisson’s DerivationInterludeChapter 7: Rice’s Radar IntegralChapter 8: Liouville’s Proof That∫e−x2dx Has No Finite FormChapter 9: How the Error FunctionAppeared in the Electrical Response of the Trans-Atlantic Telegraph CableEvaluating the Probability Integral— Part 2Chapter 10: Doing the ProbabilityIntegral with DifferentiationChapter 11: The Probability Integralas a VolumeChapter 12: How Cauchy Could HaveDone It (but didn’t)Chapter 13: Fourier Has the Last Word
£49.49
Springer International Publishing AG Calculus II: Practice Problems, Methods, and
Book SynopsisThis study guide is designed for students taking a Calculus II course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes applications of integration, sequences and series and their applications, polar coordinate systems, and complex numbers. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based coursesTable of ContentsChapter 1: Problems: Applications of integration.- Chapter 2: Solutions of Problems: Applications of integration.- Chapter 3: Problems: Sequences and series and their applications.- Chapter 4: Solutions of Problems: Sequences and series and their applications.- Chapter 5: Problems: Polar coordinate system.- Chapter 6: Solutions of Problems: Polar coordinate system.- Chapter 7: Problems: Complex numbers.- Chapter 8: Solutions of Problems: Complex numbers.
£42.74
Springer International Publishing AG Computational Physics: Simulation of Classical
Book SynopsisThis textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments. Trade ReviewFrom the book reviews:“The well-written monograph about computational physics is based on two-semester lecture courses given by the author on a period of several years for undergraduate physics and biophysics students … . convenient for students and practitioners of computer science, chemistry, and mathematics who are interested in applications of numerical methods in physics and engineering sciences. … well-organized book with a concentration to the important ideas of the methods and physical applications including software, examples, illustrations, and references to further reading.” (Georg Hebermehl, zbMATH, Vol. 1303, 2015)Table of ContentsPart I Numerical Methods.- Error Analysis.- Interpolation.- Numerical Differentiation.- Numerical Integration.- Systems of Inhomogeneous Linear Equations.- Roots and Extremal Points.- Fourier Transformation.- Random Numbers and Monte-Carlo Methods.- Eigenvalue Problems.- Data Fitting.- Discretization of Differential Equations.- Equations of Motion.- Part II Simulation of Classical and Quantum Systems.- Rotational Motion.- Molecular Dynamics.- Thermodynamic Systems.- Random Walk and Brownian Motion.- Electrostatics.- Waves.- Diffusion.- Nonlinear Systems.- Simple Quantum Systems.
£999.99
Springer International Publishing AG Optimization and Approximation
Book SynopsisThis book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.Trade Review“This book, consisting of eight chapters, provides an introduction to optimization aimed at engineering and science students. ... This book is equally suitable to those without prior knowledge in the field as well as those already familiar with the key concepts as a useful reference. The book concludes with a very useful appendix containing hints or full solutions to the exercises presented throughout the book.” (Efstratios Rappos, zbMATH 1375.90002, 2018)Table of Contents1 Overview. Part I Mathematical Programming. - 2 Linear Programming.- 3 Nonlinear programming.- 4 Numerical approximation.- Part II Variational problems.- 5 Basic theory for variational problems 6 Numerical approximation of variational problems.- Part III Optimal Control.- 7 Basic facts about optimal control . 8 Numerical approximation of basic optimal control problems, and dynamic programming. Part IV Appendix.- 9 Hints and solutions to exercises.
£999.99
Springer International Publishing AG Computational Methods in Physics: Compendium for
Book SynopsisThis book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.Table of ContentsSince this is a 2nd Edition, we are giving below the topics we wish to add/update/revise in roughly the same chapter sequence as we had in the existing 1st Edition of the book. In addition to a general revision of the text, we propose the following major modifications (the asterisks denote the amount of text added/modified and/or or the difficulty level of the topics being discussed): Chapter 2 - Subsection 2.1.2: add discussion on how to find all zeros by means of the Newton method (*) Chapter 3 - Expand Subsection 3.2.7 on solving the A*x = b equations with sparse matrices to a full Section (**) - Expand Subsection 3.4.5 on solving the eigenvalue problem A*x = lambda*x to a full Section (**) - Discuss the exponentiation of a matrix, exp(A) (*) - Add a Subsection on Pseudospectra (**) - in general, enhance the "sparse" aspect of the chapter Chapter 4 - Add a new Section on Sparse FFT (following present Sec. 4.2), add corresponding Exercise (**) - Expand Subsection 4.6.2 on the Discrete Wavelet Transform to a full Section, add Exercise (***) - Add a Section on image denoising (**) - Add Section on Radon transformation (**) Chapter 5 - Rewrite Sections 5.1-5.5 to better distinguish between general discussion of distributions and the techniques involving samples, and to bring the notation in line with the book "Probability for Physicists" (***) - Introduce Bayesian data analysis and inference (***) - Expand Subsection 5.5.8 on Non-linear Regression to a full Section, add Exercises (**) Chapter 6 - Expand Section 6.5 on Noise, add Exercise (**) - Add Section on Takens Theorem and its applications: phase space reconstruction and optimal size determination (**) - Add discussion on signal entropies (**) - Update discussion on autoregressive models (optimal order) (*) - Add discussion on signal directionality / causality (**) Chapter 7 - Expand Section 7.10 on Stiff Problems of ODE, add Exercise (**) Chapter 8 - Expand Subsection 8.7.4 on Singular SL Problems to a Section, add Exercise (**) - Motivated by Section 8.8, write a new chapter on Inverse Problems (***) Chapter 10 - Expand Section 10.8, add Exercise (**) Chapter 11 - Expand Sections 11.7 and 11.8, add Exercises (**) New Chapter on Inverse Methods (***) New short Chapter or Appendix on minimization (**) - with derivatives or without them - with constraints or without them - deterministic and quasi-deterministic (MC methods) New Appendix on spline methods: B-splines, Bezier splines (**)
£999.99
Springer International Publishing AG Modeling Life: The Mathematics of Biological
Book SynopsisThis book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?Trade Review“The book can serve as an introduction to the field of modeling not only for university students but for any person interested in the field with little or no knowledge of calculus. … This book is a very interesting deviation from this prevailing paradigm. It takes the essence of calculus and presents it in a way which is accessible and usable in the practice of life sciences professionals.” (Svetoslav Markov, zbMATH 1397.92001, 2018)Table of Contents1. Modeling, Change, and Simulation.- 2. Derivatives and Integrals.- 3. Equilibrium Behavior.- 4. Non-Equilibrium Dynamics: Oscillation.- 5. Chaos.- 6. Linear Algebra.- 7. Multivariable Systems.- Bibliography.- Index.
£47.49
Springer, India, Private Ltd Fundamentals of Artificial Intelligence
Book SynopsisFundamentals of Artificial Intelligence introduces the foundations of present day AI and provides coverage to recent developments in AI such as Constraint Satisfaction Problems, Adversarial Search and Game Theory, Statistical Learning Theory, Automated Planning, Intelligent Agents, Information Retrieval, Natural Language & Speech Processing, and Machine Vision. The book features a wealth of examples and illustrations, and practical approaches along with the theoretical concepts. It covers all major areas of AI in the domain of recent developments. The book is intended primarily for students who major in computer science at undergraduate and graduate level but will also be of interest as a foundation to researchers in the area of AI.Trade Review“The book is a good textbook for C S courses, as well as a helpful resource for people working in academia or industry. It will be beneficial in teaching the fundamental concepts of AI. … Along these lines, for people interested in learning the theory of AI, it is both a good textbook and valuable resource.” (Gulustan Dogan, Computing Reviews, December 30, 2020)“It is very astonishing that hardly any curricula come back to Norbert Wiener’s cybernetics. His theory of systems will be the safe background for any new system to be developed. I wish the author still much success in this field, you can contribute a lot to the welfare of the human society.” (Christian Posthoff, zbMATH 1442.68001, 2020)Table of ContentsIntroduction.- Logic and Inferencing.- First Order Predicate Logic.- Rule Based Reasoning.- Introduction to Prolog Language.- Knowledge Representation and Reasoning.- Networks Based Representation.- State Space Search.- Heuristic Search.- Constraint Satisfaction Problems.- Search and Game Playing.- Reasoning in Uncertain Environments.- Planning.- Natural Language Processing.- Machine Learning.- Machine Vision.- Bibliography.
£999.99
Springer Verlag, Singapore Business Model Design Compass: Open Innovation
Book SynopsisThis book reveals how open innovation utilizes the developing circle of business models to establish new ones that define a unique link between technology and markets, focusing on how to develop and maintain successful business models. It draws readers into the philosophy and economic effects of open innovation from the outset.It presents four different developing circle business models for customers in the role of consumers, entrepreneurs, social entrepreneurs and engineers respectively, enabling each group to develop, utilize and enlarge creative business models, and even switch business models.In addition to these four circles, it takes a systemic approach to describe the relationship between technology and markets. From this relationship an open innovation strategy towards entrepreneurship can be adopted. From Open Innovation to a Creative Developing-Circle Business Model is an essential resource for start-up entrepreneurs, as well as for students of technology management, strategy and open innovation.Table of ContentsPart Ⅰ Introduction.- Part Ⅱ Open Innovation in Economy System and National Innovation System.- Part Ⅲ Open Innovation Strategy of Firm .- Part Ⅳ Relation between Open innovation and Business Model.- Part Ⅴ Developing a Business Model.
£82.49
John Wiley & Sons Inc Estimation with Applications to Tracking and
Book SynopsisExpert coverage of the design and implementation of state estimation algorithms for tracking and navigation Estimation with Applications to Tracking and Navigation treats the estimation of various quantities from inherently inaccurate remote observations.Table of ContentsPreface. Acronyms. Mathematical Notations. Introduction. Basic Concepts in Estimation. Linear Estimation in Static Systems. Linear Dynamic Systems with Random Inputs. State Estimation in Discrete-Time Linear Dynamic Systems. Estimation for Kinematic Models. Computational Aspects of Estimation. Extensions of Discrete-Time Linear Estimation. Continuous-Time Linear State Estimation. State Estimation for Nonlinear Dynamic Systems. Adaptive Estimation and Maneuvering Targets. Introduction to Navigation Applications. Bibliography. Index.
£113.56
Dover Publications Inc. Introduction to Space Dynamics
Book SynopsisComprehensive, classic introduction to space-flight engineering for advanced undergraduate and graduate students provides basic tools for quantitative analysis of the motions of satellites and other vehicles in space.
£18.89
McGraw-Hill Education ISE Numerical Methods for Engineers
Book SynopsisThe eighth edition of Chapra and Canale''s Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.Table of ContentsPart 1 - Modeling, Computers, and Error Analysis1) Mathematical Modeling and Engineering Problem Solving2) Programming and Software3) Approximations and Round-Off Errors4) Truncation Errors and the Taylor SeriesPart 2 - Roots of Equations5) Bracketing Methods6) Open Methods7) Roots of Polynomials8) Case Studies: Roots of EquationsPart 3 - Linear Algebraic Equations9) Gauss Elimination10) LU Decomposition and Matrix Inversion11) Special Matrices and Gauss-Seidel12) Case Studies: Linear Algebraic EquationsPart 4 - Optimization13) One-Dimensional Unconstrained Optimization14) Multidimensional Unconstrained Optimization15) Constrained Optimization16) Case Studies: OptimizationPart 5 - Curve Fitting17) Least-Squares Regression18) Interpolation19) Fourier Approximation20) Case Studies: Curve FittingPart 6 - Numerical Differentiation and Integration21) Newton-Cotes Integration Formulas22) Integration of Equations23) Numerical Differentiation24) Case Studies: Numerical Integration and DifferentiationPart 7 - Ordinary Differential Equations25) Runge-Kutta Methods26) Stiffness and Multistep Methods27) Boundary-Value and Eigenvalue Problems28) Case Studies: Ordinary Differential EquationsPart 8 - Partial Differential Equations29) Finite Difference: Elliptic Equations30) Finite Difference: Parabolic Equations31) Finite-Element Method32) Case Studies: Partial Differential EquationsAppendix A - The Fourier SeriesAppendix B - Getting Started with MatlabAppendix C - Getting Starte dwith MathcadBibliographyIndex
£56.04
Whittles Publishing Maths for Map Makers
Book SynopsisThis volume is designed to assist anyone with the mathematics involved in map making. It starts from an elementary standpoint and progresses to give the student a sufficient level of understanding to cope with most topics encountered by the map maker, including those of elementary surveying. The material is in two carefully cross-referenced parts. Mathematical topics and concepts are presented in the first part, enabling the relevance of each topic to be made clear, while the second part contains a glossary and formulae summaries with several appendices.Trade Review'I find it to be a great resource. It is easy to read and the examples are thorough and meaningful'. Instructor, School of Ocean Technology at the Marine Institute in Newfoundland -------------------- '...This book continues to be an excellent text for students of geomatics and associated subjects. ...an important aid to revision and enhanced understanding'. The Photogrammetric Record -------------------- '...This is a new edition and further endorses the work as the first port of call for anyone seeking a comprehensive treatment of the mathematics involved in map making and elementary surveying. ...This is an ideal course book for students of geomatics including surveying, cartography and photogrammetry, ...and for those in industry or academia who require a reference work on the topic'. Geomatics World -------------------- '... this is an excellent book and it will be an extremely valuable text for many students... ... a valuable source of reference' Photogrammetric Record...an excellent book and it will be an extremely valuable text for many students...a valuable source of reference. The Photogrammetric Record ...is obviously written by a lecturer who understands the issues of teaching mathematics...represents an important milestone by providing fundamental mathematics material...The Australian Surveyor.Table of ContentsNumbers and calculation; plane geometry; trigonometry; plane coordinates; problems in three dimensions; areas and volumes; matrices; vectors; calculus; conic sections; spherical trigonometry; solutions of equations; least squares estimation; applications.
£40.50
Springer Nature Switzerland AG Inside Interesting Integrals: A Collection of
Book SynopsisWhat’s the point of calculating definite integrals since you can’t possibly do them all?What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. Table of ContentsPreface.- 1. Introduction.- 1.1 The Riemann Integral.- 1.2 An Example of Riemann Integration.- 1.3 The Lebesgue Integral.- 1.4 ‘Interesting’ and ‘Inside’.- 1.5 An Example of a Trick.- 1.6 Singularities.- 1.7 Dalzell’s Integral.- 1.8 Where Integrals Come From.- 1.9 Last Words.- 1.10 Challenge Problems.- 2. ‘Easy’ Integrals.- 2.1 Six ‘Easy’ Warm-ups.- 2.2 A New Trick.- 2.3 Two Old Tricks, Plus a New One.- 2.4 Another Old Trick: Euler’s Log-Sine Integral.- 2.5 Challenge Problems.- 3. Feynman’s Favorite Trick.- 3.1 Leibniz’s Formula.- 3.2 Dirichlet’s Amazing Integral.- 3.3 Frullani’s Integral.- 3.4 The Flip-Side of Feynman’s Trick.- 3.5 Combining Two Tricks.- 3.6 Uhler’s Integral and Symbolic Integration.- 3.7 The Probability Integral Revisited.- 3.8 Dini’s Integral.- 3.9 Feynman’s Favorite Trick Solves a Physics Equation .- 3.10 Challenge Problems.- 4. Gamma and Beta Function Integrals.- 4.1 Euler’s Gamma Function.- 4.2 Wallis’ Integral and the Beta Function.- 4.3 Double Integration Reversal.- 4.4 The Gamma Function Meets Physics.- 4.5 Challenge Problems.- 5. Using Power Series to Evaluate Integrals.- 5.1 Catalan’s Constant.- 5.2 Power Series for the Log Function.- 5.3 Zeta Function Integrals.- 5.4 Euler’s Constant and Related Integrals.- 5.5 Challenge Problems.- 6. Seven Not-So-Easy Integrals.- 6.1 Bernoulli’s Integral .- 6.2 Ahmed’s Integral.- 6.3 Coxeter’s Integral.- 6.4 The Hardy-Schuster Optical Integral.- 6.5 The Watson/van Peype Triple Integrals.- 6.6 Elliptic Integrals in a Physical Problem.- 6.7 Challenge Problems.- 7. Using √(-1) to Evaluate Integrals.- 7.1 Euler’s Formula.- 7.2 The Fresnel Integrals.- 7.3 (3) and More Log-Sine Integrals .- 7.4 (2), At Last!.- 7.5 The Probability Integral Again.- 7.6 Beyond Dirichlet’s Integral.- 7.7 Dirichlet Meets the Gamma Function.- 7.8 Fourier Transforms and Energy Integrals.- 7.9 ‘Weird’ Integrals from Radio Engineering.- 7.10 Causality and Hilbert Transform Integrals.- 7.11 Challenge Problems.- 8. Contour Integration.- 8.1 Prelude.- 8.2 Line Integrals.- 8.3 Functions of a Complex Variable.- 8.4 The Cauchy-Riemann Equations and Analytic Functions.- 8.5 Green’s Integral Theorem.- 8.6 Cauchy’s First Integral Theorem.- 8.7 Cauchy’s Second Integral Theorem.- 8.8 Singularities and the Residue Theorem.- 8.9 Integrals with Multi-valued Integrands.- 8.10 Challenge Problems.- 9. Epilogue.- 9.1 Riemann, Prime Numbers, and the Zeta Function.- 9.2 Deriving the Functional Equation for (s).- 9.3 Challenge Questions.- Solutions to the Challenge Problems.
£23.51
Springer Fachmedien Wiesbaden Keine Panik vor Ingenieurmathematik!: Erfolg und
Book SynopsisDie angewandte Mathematik ist die Grundlage sämtlicher Ingenieur- und Naturwissenschaften. Aber auch in vielen praxisorientierten technischen Berufen ist „Mathe“ ein wichtiges Werkzeug und die Voraussetzung für erfolgreiches Arbeiten und gute Resultate. Oft haben die Studierenden an Universitäten, Fachhochschulen sowie Ingenieur- und Technikerschulen große Schwierigkeiten, sich mit der wunderbar und manchmal so verblüffend in sich schlüssigen Materie anzufreunden, denn meistens wird das Thema Mathematik in der Lehre zwar sehr umfassend und allgemeingültig aber auch gleichzeitig staubtrocken und theoretisch rübergebracht. Aber auch für die Mathematik gilt: Man kann den Einstieg in dieses theoretische und abstrakte Thema sehr viel anschaulicher als in den meisten Lehrbüchern darstellen und das Ganze noch mit Humor und Cartoons würzen. Mathe kann auch witzig sein! Mit Humor und einer unkonventionellen Darstellungsweise analog zu „Keine Panik vor Statistik!“, „Keine Panik vor Mechanik!“ und „Keine Panik vor Thermodynamik!“ lässt sich für Viele ein einfacher Zugang zur Mathematik finden und eine Brücke zu den ernsteren und theoretischen Lehrbüchern schlagen...Table of ContentsGrundlagen.- Reelle Zahlen.- Elementare Funktionen.- Komplexe Zahlen.- Vektorrechnung.- Matrizen.- Differentialrechnung.- Integralrechnung.- Reihen.- Funktionen mehrerer Veränderlicher.
£999.99
Industrial Press Inc.,U.S. Engineering Mathematics through Applications
Book SynopsisThis text and reference for students and professionals uses applications from a range of technical disciplines. Mathematics is developed through easy step-by-step examples rather than formal proofs and is supported by references to how calculators and mathematical software can be used in solving re
£72.00
