Mathematics Books
Springer International Publishing AG Feedback Control Systems: The MATLAB®/Simulink® Approach
Book SynopsisFeedback control systems is an important course in aerospace engineering, chemical engineering, electrical engineering, mechanical engineering, and mechatronics engineering, to name just a few. Feedback control systems improve the system's behavior so the desired response can be acheived. The first course on control engineering deals with Continuous Time (CT) Linear Time Invariant (LTI) systems. Plenty of good textbooks on the subject are available on the market, so there is no need to add one more. This book does not focus on the control engineering theories as it is assumed that the reader is familiar with them, i.e., took/takes a course on control engineering, and now wants to learn the applications of MATLAB® in control engineering. The focus of this book is control engineering applications of MATLAB® for a first course on control engineering.Table of ContentsPreface.- Acknowledgments.- Introduction to MATLAB®.- Commonly Used Commands in Analysis of Control Systems.- Introduction to Simulink®.- Controller Design in MATLAB®.- Introduction to System Identification Toolbox™.- References.- Authors' Biographies.
£62.99
Springer International Publishing AG Phrase Mining from Massive Text and Its
Book SynopsisA lot of digital ink has been spilled on "big data" over the past few years. Most of this surge owes its origin to the various types of unstructured data in the wild, among which the proliferation of text-heavy data is particularly overwhelming, attributed to the daily use of web documents, business reviews, news, social posts, etc., by so many people worldwide.A core challenge presents itself: How can one efficiently and effectively turn massive, unstructured text into structured representation so as to further lay the foundation for many other downstream text mining applications? In this book, we investigated one promising paradigm for representing unstructured text, that is, through automatically identifying high-quality phrases from innumerable documents. In contrast to a list of frequent n-grams without proper filtering, users are often more interested in results based on variable-length phrases with certain semantics such as scientific concepts, organizations, slogans, and so on. We propose new principles and powerful methodologies to achieve this goal, from the scenario where a user can provide meaningful guidance to a fully automated setting through distant learning. This book also introduces applications enabled by the mined phrases and points out some promising research directions.Table of ContentsAcknowledgments.- Introduction.- Quality Phrase Mining with User Guidance.- Automated Quality Phrase Mining.- Phrase Mining Applications.- Bibliography.- Authors' Biographies .
£26.59
Springer International Publishing AG Regular Functions of a Quaternionic Variable
Book SynopsisThis book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only associative real division algebra with a finite dimension n>2. (Slice) regular functions quickly showed particularly appealing features and developed into a full-fledged theory, while finding applications to outstanding problems from other areas of mathematics. For instance, this class of functions includes polynomials and power series. The nature of the zero sets of regular functions is particularly interesting and strictly linked to an articulate algebraic structure, which allows several types of series expansion and the study of singularities. Integral representation formulas enrich the theory and are fundamental to the construction of a noncommutative functional calculus. Regular functions have a particularly nice differential topology and are useful tools for the construction and classification of quaternionic orthogonal complex structures, where they compensate for the scarcity of conformal maps in dimension four.This second, expanded edition additionally covers a new branch of the theory: the study of regular functions whose domains are not axially symmetric. The volume is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general.Table of ContentsIntroduction.- 1.Definitions and Basic Results.- 2.Regular Power Series.- 3.Zeros.- 4.Infinite Products.- 5.Singularities.- 6.Integral Representations.- 7.Maximum Modulus Theorem and Applications.- 8.Spherical Series and Differential.- 9.Fractional Transformations and the Unit Ball.- 10.Generalizations.- 11. Function Theory over Non-symmetric Slice Domains.-12. Applications.- Bibliography.- Index.
£80.99
Birkhauser Verlag AG Do Androids Dream of Symmetric Sheaves?: And
Book SynopsisWhy is the Devil thrilled when Hell gets its first mathematician? How do 6 and 27 solve the diabolical murder of 9? What are the advantages a vampire has in the math world? What happens when we run out of new math to discover? How does Dr. Frankenstein create the ideal mathematical creature? What transpires when a grad student digging for theorems strikes a rich vein on the ridge overlooking Deadwood? What happens when math students band together to foment rebellion? What will a mathematician do beyond the grave to finish that elusive proof?This is just a small subset of the questions plumbed in this collection of 45 mathematically bent stories from the fertile imagination of Colin Adams. Originally appearing in The Mathematical Intelligencer, an expository mathematics magazine, these tales give a decidedly unconventional look at the world of mathematics and mathematicians. A section of notes is provided at the end of the book that explain references that may not be familiar to all and that include additional commentary by the author.Table of ContentsPreface.- Introduction.- Immortality.- Gold Rush.- Prime Suspect.- The Cabinet of Dr. Möbius.- On Another Plane.- The Modern Prometheus.- Aftermath.- Looking Backward.- A Denial.- Algebrexit.- Fields Candidacy.- Leonhard Euler and the Seven Bridges of Königsberg.- The Great Storm.- All Tied Up.- The Adventures of Robin Caruso.- Hardy and Ramanujan.- Introduction to the Collected Works.- Mathematicus.- Happiness is a Warm Theorem.- Motivational Seminar.- Cylindra Ella.- Referee's Support.- Silence of the Lemmas.- The Seven Labors of Hercules.- Presidential Address.- A Pi Day Carol.- GUI.- Math is Everywhere.- Job Solicitation.- CSI: MSRI.- Do Androids Dream of Symmetric Sheaves?- A Ghost Story.- Equinox.- Secrets of Math Destruction.- The Book.- A Grader's Dream.- The End of Mathematics.- Definitions that Sizzle.- Edutainment.- A Prisoner's Dilemma.- The Intergalactic Congress of Mathematicians.- The Gulag.- Where do Theorems Come From?- The Lord of the Rings 1: The NSF Fellowship of the Rings.- Piracy.- Notes.
£26.99
Springer Research Directions in Number Theory
Book SynopsisFrom Fontaine-Mazur Conjecture to Analytic Pro-p-Groups: A Survey (Abdellatif).- Orientations and Cycles in Supersingular Isogeny Graphs (Stange).- Generalized Ramanujan-Sato Series Arising from Modular Forms (Swisher).- Mock Theta Functions and Related Combinatorics (Ballantine).- Transcendental Lattices of Certain Singular K3 Surfaces(Bertin).- Power-Saving Error Terms for the Number of D4-Quartic Extensions over a Number Field Ordered by Discriminant (Lopez).- Dynamical Mahler Measure: a Survey and Some Recent Results (Lalin).- Geometric Decomposition of Abelian Varieties of Order 1 (Kedlaya).- On Marko Type Surfaces over Number Fields and the Arithmetic of Marko Numbers (Sivaraman).- p-Adic Measures for Reciprocals of L-Functions of Totally Real Number Fields (Taha).
£113.99
Springer Spektrum Eine spielerische Reise in die geometrische Topologie
£67.49
Springer Asymptotic Expansions and Summability
Book Synopsis- Part I Asymptotic expansions.- Taylor expansions.- Gevrey formal power series.- Gevrey asymptotics.- Part II Summability.- k-summability: definition and first algebraic properties.- First characterization of the k-summability: the successive derivatives.- Second characterization of the k-summability: the Borel-Laplace method.- Part III Moment summability.- Moment functions and moment operators.- Moment-Borel-Laplace method and summability.- Linear moment partial differential equations.
£56.99
Springer Introduction to Combinatorics and Graph Theory
Book SynopsisBasics of Counting.- Induction and Pigeon Hole Principle.- Binomial Theorem and Binomial Identities Partitions.- Permutations.- Combinations and Cycles.- Generating Functions.- Recurrence Relations.- Inclusion Exclusion Principle.- Partial Order and Lattices.- Polya's Theory.- More on Counting.- Discrete Probability.- Basic Concepts.- Paths Connectedness.- Trees.- Connectivity.- Eulerian and Hamiltonian Graphs.- Planar Graphs.- Independent Sets.- Coverings and Matchings.- Graph Coloring.- Ramsey Numbers and Ramsey Graphs.- Spectral Properties of Graphs.- Directed Graphs and Graph Algorithms.
£66.49
Springer Stochastic Models Statistics and Their Applications
Book Synopsis- Part I: Stochastics and Statistical Theory.- Strong Gaussian Approximations with Random Multipliers.- Selection of Parametric Copula Models in the Approximation of Copulas using Cramér-von Mises Divergence.- Multivariate Dependence Based on Diagonal Sections: Spearman’s Footrule and Related Measures.- Proportional Asymptotics of Piecewise Exponential Proportional Hazards Models.- On the Choice of the Two Tuning Parameters for Nonparametric Estimation of an Elliptical Distribution Generator.- Part II: Inference and Machine Learning.- Inference from Longitudinal Data by Clustering and Machine Learning.- The Use of Neural Networks and PCA Dimensionality Reduction in the Imputation of Missing Fragments in High-Dimensional Time Series.- Discrete-Valued Time Series and Recurrent Neural Network Response Functions.- Application of Model-Free Time-Series Segmentation to Study Sleep in Mice.- Part III: Detection of Patterns in Data.- Testing for Dependence by Using Ordinal Patterns: Survey and Perspectives.- On Some Properties and Testing of Benford’s Law.
£143.99
Springer Stories Behind Theorems
Book SynopsisChapter 1. Breaking stereotypes: Lisa Sauermann’s mathematical and social insights.- Chapter 2. Joost Hulshof’s enchanted world.- Chapter 3. Paul Erdos legacy and Abel Prize insights with Lászlo Lovász.- Chapter 4. Rianne de Heide: From statistics to music, with an open conversation on mental health.- Chapter 5. Science, theater, and intellectual curiosity with Max Planck Institute founder Juergen Jost.- Chapter 6. EMS Prize Winner Cristiana De Filippis’ perspective on research and life’s balance.- Chapter 7. Renee Hoekzema: Blending earth sciences, topology, and artistic expression.
£89.99
Springer Mathematical Modelling of the Human Brain II From Glymphatics to Deep Learning
Book Synopsis1 From brain physiology to brain physics.- 2 Meshing the intracranial compartments: Cerebellum, cerebrum, brainstem and cerebrospinal fluid.- 3 Segmenting, meshing and modeling CSF spaces.- 4 The pulsating brain: An interface-coupled fluid-poroelasticinteraction model of the cranial cavity.- 5 Quantifying cerebrospinal fluid tracer concentration in the brain.- 6 Signal increase ratio prediction with CNNs.- 7 Estimating molecular transport parameters using inverse PDEmodels.- 8 Two-compartment modeling of tracer transport in the brain.- 9 An introduction to identifying velocity fields from contrast imaging via PDE-constrained optimization. 10 An introduction to network models of neurodegenerative diseases.
£24.99
Springer The Ends of Knowledge
Book SynopsisChapter 1. Lost in the higher dimensional woods.- Chapter 2. The most incomprehensible thing.- Chapter 3. The noise and the signal.- Chapter 4. Live and learn.- Chapter 5. Out of order, chaos.- Chapter 6. Playing dice with the Universe.- TL;DR.- Bibliography.
£19.99
Springer-Verlag GmbH Homogenisation of Laminated Metamaterials and the Inner Spectrum
£37.99
Birkhäuser Introduction to QuasiMonte Carlo Integration and Applications
Book SynopsisPreface.- Notation.- I Introduction.- II Uniform distribution modulo one.- III QMC integration in reproducing kernel Hilbert spaces.- IV Lattice point sets.- V (t, m, s)-nets and (t, s)-sequences.- VI A short discussion of the discrepancy bounds.- VII Foundations of financial mathematics.- VIII MC and QMC simulation.
£40.49
Birkhauser Verlag AG Visual Complex Functions: An Introduction with
Book SynopsisThis book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains.Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes.In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions.Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.Trade ReviewFrom the reviews:“This textbook is an introduction to the classical theory of functions of one complex variable. Its distinctive feature are the graphical representations of functions, being the most useful tool in teaching and generally in mathematics. … The self-sufficiency of the textbook and the broad range of graphical examples makes the book useful for students as well as teachers of mathematics. … the book can be warmly recommended both to experts and to a new generation of mathematicians.” (Stanislawa Kanas, Zentralblatt MATH, Vol. 1264, 2013)“Anyone who works with complex variables should read this book. … Visual Complex Functions is a beautiful and careful presentation of an entire advanced introduction to complex analysis based on phase portraits and, where appropriate, other kinds of computer-generated pictures. … My understanding of many ideas and phenomena deepened through reading this book.” (Lloyd N. Trefethen, SIAM Review, Vol. 55 (4), 2013)Table of ContentsPreface.- 1. Getting Acquainted.- 2. Complex Functions.- 3. Analytic Functions.- 4. Complex Calculus.- 5. Construction Principles.- 6. Conformal Mappings.- 7. Riemann Surfaces
£999.99
Birkhauser Verlag AG European Congress of Mathematics: Barcelona, July 10–14, 2000, Volume I
Book SynopsisThe Third European Congress of Mathematics (3ecm) took place from July 10th to July 14th, 2000 in Barcelona. It was organised by the Societat Catalana de Matematiques (Catalan Mathematical Society), under the auspices of the Euro- pean Mathematical Society (EMS). As foreseen by the EMS and the International Mathematical Union, this Congress was a major event in World Mathematical Year 2000. In addition to reviewing outstanding research achievements, important aspects of the life of European mathematics were discussed. Mathematics is undergoing a period of rapid changes. Effective computation and applications in science and technology go ever more hand in hand with con- ceptual developments. It was one of the aims of 3ecm to reflect this mutual enrich- ment, while steering present and future trends of mathematical sciences. In fact, the motto of the Congress, Shaping the 21st Century, was meant to capture these views. Nearly 1400 people from 87 countries gathered together in the Palau de Con- gressos of Barcelona in order to take part in the activities of the 3ecm scientific programme: Nine plenary lectures, thirty invited lectures in parallel sessions, lec- tures given by EMS prize winners, ten mini-symposia on special topics, seven round tables, poster sessions, presentations of mathematical software and video exhibitions. Twenty events were satellites of 3ecm in various countries.Table of ContentsTable of Contents of Volume I.- Articles by Plenary Speakers.- The Mathematics of M-Theory.- Probabilistic Aspects of Financial Risk.- Flags and Lattice Basis Reduction.- Moduli, Motives, Mirrors.- The Role of Oscillations in Some Nonlinear Problems.- New Families of Solutions in N-Body Problems.- Irreducible Modular Representations of a Reductive p-Adic Group and Simple Modules for Hecke Algebras.- Dequantization of Real Algebraic Geometry on Logarithmic Paper.- Articles by Parallel Speakers.- Advances on Extremal Problems in Number Theory and Combinatorics.- Spectral Analysis of Nonrelativistic Quantum Electrodynamics.- Spectrum and Statistical Properties of Chaotic Dynamics.- Sampling in Complex and Harmonic Analysis.- Lower Bounds for Shape Resonance Widths of Schrödinger Operators.- A Conjecture of De Giorgi on Symmetry for Elliptic Equations in ?n.- The Random Graph Revisited.- Difference Fields: Model Theory and Applications to Number Theory.- Geometric Aspects of Polynomial Interpolation in More Variables and of Waring’s Problem.- The Calibration Method for Free Discontinuity Problems.- Geometry on Arc Spaces of Algebraic Varieties.- Stacks for Everybody.- Multiple ?-Values, Galois Groups, and Geometry of Modular Varieties.- Heat Kernels on Manifolds, Graphs and Fractals.- Local Langlands Correspondences and Vanishing Cycles on Shimura Varieties.- Burgers Turbulence and Dynamical Systems.- Random Growth and Random Matrices.- Sobolev Spaces and Quasiconformal Mappings on Metric Spaces.- Understanding Skyrmions Using Rational Maps.- Models for the Leaf Space of a Foliation.- Multivariable Hypergeometric Functions.- Contact Structures, Rational Curves and Mori Theory.- Analytic Topology.- Towards Ryser’s Conjecture.- The Dynamics of Algebraic ? d-Actions.- Self-Interacting Random Motions.- Harmonic Analysis on Reductive Symmetric Spaces.
£116.99
£41.29
De Gruyter Dirichlet Forms and Stochastic Processes: Proceedings of the International Conference held in Beijing, China, October 25-31, 1993
Book SynopsisThe series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
£172.90
De Gruyter Stochastic Dynamics and Boltzmann Hierarchy
Book SynopsisThe monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems. The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.Trade Review"This book may be useful for advanced graduate students and for scientists who are interested in mathematical problems of the statistical mechanics and rare ed gasesow.?"Oleg A. Sinkevich in: Zentralblatt Math 1/2010<
£138.98
De Gruyter Stochastik: Einführung in Die
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£37.95
De Gruyter Bitcoin: A Game-Theoretic Analysis
Book SynopsisThe definitive guide to the game-theoretic and probabilistic underpinning for Bitcoin’s security model. The book begins with an overview of probability and game theory. Nakamoto Consensus is discussed in both practical and theoretical terms. This volume: Describes attacks and exploits with mathematical justifications, including selfish mining. Identifies common assumptions such as the Market Fragility Hypothesis, establishing a framework for analyzing incentives to attack. Outlines the block reward schedule and economics of ASIC mining. Discusses how adoption by institutions would fundamentally change the security model. Analyzes incentives for double-spend and sabotage attacks via stock-flow models. Overviews coalitional game theory with applications to majority takeover attacks Presents Nash bargaining with application to unregulated environments This book is intended for students or researchers wanting to engage in a serious conversation about the future viability of Bitcoin as a decentralized, censorship-resistant, peer-to-peer electronic cash system.
£56.52
Walter de Gruyter Algebraic Topology
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£53.60
Walter de Gruyter Quadratic Ideal Numbers
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£61.65
De Gruyter Variational Methods in Nonlinear Analysis
£77.40
De Gruyter Analysis and Probability on Graphs
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£52.65
Walter de Gruyter Wahrscheinlichkeit
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£31.46
Walter de Gruyter Maß Und Integral
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£35.96
Walter de Gruyter Differentialgleichungen in Der Theoretische
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£50.96
De Gruyter Differentialgleichungen in Der Fluiddynamik
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£49.05
de Gruyter Oldenbourg Angewandte Differentialgleichungen Kompakt
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£76.46
de Gruyter Oldenbourg Mathematische Epidemiologie 25 Modelle Zur
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£62.96
de Gruyter Lineare Algebra
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£48.71
de Gruyter Oldenbourg Elementare Mathematik
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£76.46
De Gruyter Artificial Intelligence in Cancer
£135.57
£139.05
de Gruyter Oldenbourg Numerische Mathematik
£50.96
De Gruyter Tensor Calculus on Time Scales
£65.70
De Gruyter The Matrix Algebra of Logic
£40.95
De Gruyter Grundriss Der Biochemie: Für Studierende Der Medizin, Zahnmedizin Und Naturwissenschaften
£119.85
Walter de Gruyter Calculus of One Variable
£81.90
De Gruyter Computational Optimization
£130.95
de Gruyter Computational Mathematics in Engineering
£139.05
Walter de Gruyter OctonionSparse Based Image Processing
£130.95
Birkhauser Verlag AG Advances in Dynamic Games: Theory, Applications,
Book SynopsisThis contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields as varied as mathematical biology, environmental management, economics, engineering, guidance and control, and social interaction. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students.Advances in Dynamic Games presents state-of-the-art research that serves as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 15th International Symposium of Dynamic Games and Applications held July 19–22, 2012, in Byšice, Czech Republic.Table of ContentsPart I Dynamic Games: Theory and Computation.- 1 Relative Value Iteration for Stochastic Differential Games.- 2 OPTGAME3: A Dynamic Game Solver and an Economic Example.- 3 Dynamic Programming Approach to Aircraft Control in a Windshear.- 4 Existence of Optimal Controls for a Bi-Level Optimal Control Problem.- 5 Static Linear-Quadratic Gaussian Games.- 6 Interior Convergence Under Payoff Monotone Selections and Proper Equilibrium: Application to Equilibrium Selection.- Part II Dynamic Games: Applications.- 7 Should a Retailer Support a Quality Improvements Strategy?.- 8 A Large Population Parental Care Game with Asynchronous Moves.- 9 Conditions for Cooperation and Trading in Value-Cost Dynamic Games.- 10 Intra-seasonal Strategies Based on Energy Budgets in a Dynamic Predator-Prey Game.- 11 On a Game-Theoretic Model of Environmental Pollution Problem.- Part III Pursuit-Evasion Games 12 Open-Loop Solvability Operator in Differential Games with Simple Motions in the Plane.- 13 Game with Two Pursuers and One Evader: Case of Weak Pursuers.- 14 Collaborative Interception of Moving Re-Locatable Target .- 15 The Effect of Pursuer Dynamics on the Value of Linear.- Pursuit-Evasion Games with Bounded Controls.
£80.99
Springer International Publishing AG Applied Statistical Methods in Agriculture,
Book SynopsisThis textbook teaches crucial statistical methods to answer research questions using a unique range of statistical software programs, including MINITAB and R. This textbook is developed for undergraduate students in agriculture, nursing, biology and biomedical research. Graduate students will also find it to be a useful way to refresh their statistics skills and to reference software options. The unique combination of examples is approached using MINITAB and R for their individual strengths. Subjects covered include among others data description, probability distributions, experimental design, regression analysis, randomized design and biological assay. Unlike other biostatistics textbooks, this text also includes outliers, influential observations in regression and an introduction to survival analysis. Material is taken from the author's extensive teaching and research in Africa, USA and the UK. Sample problems, references and electronic supplementary material accompany each chapter.Table of ContentsTable of Contents attached as well. Introduction.- Frequency Distributions.- Numerical Description of Data.- Probability and Probability Distributions.- Estimation and Hypothesis Testing.- Regression Analysis.- Categorical Data Analysis.- Experimental Design.- The Completely Randomized Design.- The Randomized Complete Block Design.- Multiple Blocking Designs.- Analysis of Covariance.- Factorial Treatments Designs.- The Split-Plot Design.- Incomplete Block Design.- Quantal-Bioassay.- Repeated Measures Design.- Survival Analysis.
£80.99
Springer International Publishing AG An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity
Book SynopsisUnlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.Trade ReviewFrom the book reviews:“The aim of the textbook is twofold. First, it is a concise and self-contained quick introduction to the basics of differential geometry, including differential forms, followed by the main ideas of Riemannian geometry. Second, the last two chapters are devoted to some interesting applications to geometric mechanics and relativity. … the book is well written and also very readable. I warmly recommend it to specialists in mathematics, physics and engineering, especially to Ph.D. students.” (Miroslaw Doupovec, zbMATH 1306.53001, 2015)Table of ContentsDifferentiable Manifolds.- Differential Forms.- Riemannian Manifolds.- Curvature.- Geometric Mechanics.- Relativity.
£66.49
Springer International Publishing AG Fixed Point of the Parabolic Renormalization Operator
Book SynopsisThis monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point. Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization. The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.Trade Review“The book under review is devoted to the study of parabolic renormalization. … The book is very well written and self-contained … and most results are stated together with their proofs.” (Jasmin Raissy, zbMATH 1342.37051, 2016)Table of Contents1 Introduction.- 2 Local dynamics of a parabolic germ.- 3 Global theory.- 4 Numerical results.- 5 For dessert: several amusing examples.- Index.
£42.74
Springer International Publishing AG The Finite Volume Method in Computational Fluid
Book SynopsisThis 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.With 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. Trade Review“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)“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)Table of ContentsFoundation1 Introduction2 Review of Vector Calculus3 Mathematical Description of Physical Phenomena4 The Discretization Process5 The Finite Volume Method6 The Finite Volume Mesh7 The Finite Volume Mesh in OpenFOAM® and uFVMDiscretization8 Spatial Discretization: The Diffusion Term9 Gradient Computation10 Solving the System of Algebraic Equations11 Discretization of the Convection Term12 High Resolution Schemes13 Temporal Discretization: The Transient Term14 Discretization of the Source Term, Relaxation, and Other DetailsAlgorithms15 Fluid Flow Computation: Incompressible Flows16 Fluid Flow Computation: Compressible FlowsApplications17 Turbulence Modeling18 Boundary Conditions in OpenFOAM® and uFVM19 An OpenFOAM® Turbulent Flow Application 20 Closing RemarksAppendices<20 Closing RemarksAppendices20 Closing RemarksAppendices
£94.99
