Applied mathematics Books
Oxford University Press How to Think About Abstract Algebra
Book SynopsisHow to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory.Trade ReviewI'd very strongly recommend it to undergraduates studying maths, Sixth formers about to study maths, and anyone who did a maths degree a while ago and wants to revisit groups, rings and fields. I also recommend that any first year pure maths lecturers reading this should add this book to their course's reading list. * Chalkdust *Table of Contents1: What is Abstract Algebra? 2: Axioms and Denitions 3: Theorems and Proofs 4: Studying Abstract Algebra 5: Binary Operations 6: Groups and Subgroups 7: Quotient Groups 8: Isomorphisms and Homomorphisms 9: Rings References
£21.49
McGraw-Hill Education - Europe Schaums Outline of Fluid Dynamics
Book SynopsisTough Test Questions? 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 ContentsIntroductionFluid StatisticsMathematical Models of Fluid MotionDimensional Analysis and SimilitudeBoundary Layer Flow and Flow in Pipes and DuctsIncompressible Potential FlowOne-Dimensional Compressible FlowTwo-Dimensional Compressible Flow GasdynamicsIncompressible Turbulent FlowHypersonic Boundary Layer FlowMangetohydrodynamicsNon-Newtonian FluidsAppendix A: Some Properties of FluidsAppendix B: Units and DimensionsAppendix C: Some Basic Equations in Various Coordinate SystemsAppendix D: Tables for Compressible FlowAppendix E: Cartesian TensorsAppendix F: Vector IdentitiesAppendix G: Flow Measuring Techniques
£27.19
McGraw-Hill Education - Europe Applied Calculus for Business Economics and the
Book SynopsisApplied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author''s applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!Table of ContentsChapter 1: Functions, Graphs, and Limits1.1 Functions1.2 The Graph of a Function1.3 Linear Functions1.4 Functional Models1.5 Limits1.6 One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1 The Derivative2.2 Techniques of Differentiation2.3 Product and Quotient Rules; Higher-Order Derivatives2.4 The Chain Rule2.5 Marginal Analysis and Approximations Using Increments2.6 Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions; Continuous Compounding4.2 Logarithmic Functions4.3 Differentiation of Exponential and Logarithmic Functions4.4 Applications; Exponential ModelsChapter 5: Integration5.1 Indefinite Integration with Applications5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Area Between Curves and Average Value5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Numerical Integration6.3 Improper IntegralsChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsChapter 8: Trigonometric Functions8.1 Angle Measurement; Trigonometric Functions8.2 Derivatives of Trigonometric Functions8.3 Integrals of Trigonometric FunctionsChapter 9: Differential Equations9.1 Introduction to Differential Equations9.2 First-Order Linear Differential Equations9.3 Additional Applications of Differential Equations9.4 Approximate Solutions of Differential Equations9.5 Difference Equations; The Cobweb ModelChapter 10: Probability and Calculus10.1 Continuous Probability Distributions10.2 Expected Value and Variance10.3 Normal DistributionsChapter 11: Infinite Series and Taylor Series Approximations11.1 Infinite Series; Geometric Series11.2 Tests for Convergence11.3 Functions as Power Series; Taylor SeriesAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation Notation
£53.09
McGraw-Hill Education - Europe Applied Calculus for Business Economics and the
Book Synopsis Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!Table of ContentsChapter 1: Functions, Graphs, and Limits1.1Functions1.2The Graph of a Function1.3Lines and Linear Functions1.4Functional Models1.5Limits1.6One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1The Derivative2.2Techniques of Differentiation2.3Product and Quotient Rules; Higher-Order Derivatives2.4The Chain Rule2.5Marginal Analysis and Approximations Using Increments2.6Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions; Continuous Compounding4.2 Logarithmic Functions4.3 Differentiation of Exponential and Logarithmic Functions4.4 Additional Applications; Exponential ModelsChapter 5: Integration5.1 Indefinite Integration and Differential Equations5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Distribution of Wealth and Average Value5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Numerical Integration6.3 Improper IntegralsChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsChapter 8: Trigonometric Functions8.1 Angle Measurement; Trigonometric Functions8.2 Trigonometric Applications Involving Differentiation8.3 Trigonometric Applications Involving IntegrationChapter 9: Differential Equations9.1 Modeling with Differential Equations9.2 First-Order Linear Differential Equations9.3 Additional Applications of Differential Equations9.4 Approximate Solutions of Differential Equations9.5 Difference Equations; The Cobweb ModelChapter 10: Infinite Series and Taylor Series Approximations10.1 Infinite Series; Geometric Series10.2 Tests for Convergence10.3 Functions as Power Series; Taylor SeriesChapter 11: Probability and Calculus11.1 Introduction to Probability; Discrete Random Variables11.2 Continuous Probability Distributions11.3 Expected Value and Variance of Continuous Random Variables10.4 Normal and Poisson Probability DistributionsAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation Notation
£216.21
McGraw-Hill Education - Europe Calculus for Business Economics and the Social
Book Synopsis Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!Table of ContentsChapter 1: Functions, Graphs, and Limits1.1Functions1.2The Graph of a Function1.3Lines and Linear Functions1.4Functional Models1.5Limits1.6One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1The Derivative2.2Techniques of Differentiation2.3Product and Quotient Rules; Higher-Order Derivatives2.4The Chain Rule2.5Marginal Analysis and Approximations Using Increments2.6Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions; Continuous Compounding4.2 Logarithmic Functions4.3 Differentiation of Exponential and Logarithmic Functions4.4 Additional Applications; Exponential ModelsChapter 5: Integration5.1 Indefinite Integration and Differential Equations5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Distribution of Wealth and Average Value5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Numerical Integration6.3 Improper Integrals6.4 Introduction to Continuous ProbabilityChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation Notation
£174.17
Elsevier Science Applied Chaos Theory
Book Synopsis
£59.07
Elsevier Science Table of Integrals Series and Products
Book SynopsisTrade Review"...if you use this book frequently it’s definitely worth getting the new edition…" --MAA.org, November 2014 "The integrals are very useful, but this book includes many other features that will be helpful to the reader, especially graduate students. The sections on Hermite and Legendre polynomials are especially helpful for students of Electricity and Magnetism, Quantum Mechanics, and Mathematical physics (they won't have to hunt in several books to find what they need)." --Barry Simon, California Institute of Technology "This book is to the CRC Mathematical Tables as the unabridged Oxford English Dictionary is to Webster's Collegiate. Besides being big, it's easy to find things in, because of the way the integrals are organized into classes...It really helped me through grad school." --Phil Hobbs, Amazon ReviewTable of Contents1. Elementary Functions 2. Indefinite Integrals of Elementary Functions 3. Definite Integrals of Elementary Functions 4. Combinations Involving Trigonometric and Hyperbolic Functions and Power 5. Indefinite Integrals of Special Functions 6. Definite Integrals of Special Functions 7. Associated Legendre Functions 8. Special Functions 9. Hypergeometric Functions 10. Vector Field Theory 11. Algebraic Inequalities 12. Integral Inequalities 13. Matrices and Related Result 14. Determinants 15. Norms 16. Ordinary Differential Equations 17. Fourier, Laplace, and Mellin Transforms 18. The Z-transform
£75.04
Elsevier Science Principles of Financial Engineering
£74.96
Elsevier Science Publishing Co Inc Doing Bayesian Data Analysis
Book SynopsisTrade Review"Both textbook and practical guide, this work is an accessible account of Bayesian data analysis starting from the basics…This edition is truly an expanded work and includes all new programs in JAGS and Stan designed to be easier to use than the scripts of the first edition, including when running the programs on your own data sets." --MAA Reviews "fills a gaping hole in what is currently available, and will serve to create its own market" --Prof. Michael Lee, U. of Cal., Irvine; pres. Society for Mathematical Psych "has the potential to change the way most cognitive scientists and experimental psychologists approach the planning and analysis of their experiments" --Prof. Geoffrey Iverson, U. of Cal., Irvine; past pres. Society for Mathematical Psych. "better than others for reasons stylistic.... buy it -- it’s truly amazin’!" --James L. (Jay) McClelland, Lucie Stern Prof. & Chair, Dept. of Psych., Stanford U. "the best introductory textbook on Bayesian MCMC techniques" --J. of Mathematical Psych. "potential to change the methodological toolbox of a new generation of social scientists" --J. of Economic Psych. "revolutionary" --British J. of Mathematical and Statistical Psych. "writing for real people with real data. From the very first chapter, the engaging writing style will get readers excited about this topic" --PsycCritiquesTable of Contents1. What’s in This Book (Read This First!) PART I The Basics: Models, Probability, Bayes’ Rule, and R 2. Introduction: Credibility, Models, and Parameters 3. The R Programming Language 4. What Is This Stuff Called Probability? 5. Bayes’ Rule PART II All the Fundamentals Applied to Inferring a Binomial Probability 6. Inferring a Binomial Probability via Exact Mathematical Analysis 7. Markov Chain Monte Carlo 8. JAGS 9. Hierarchical Models 10. Model Comparison and Hierarchical Modeling 11. Null Hypothesis Significance Testing 12. Bayesian Approaches to Testing a Point ("Null") Hypothesis 13. Goals, Power, and Sample Size 14. Stan PART III The Generalized Linear Model 15. Overview of the Generalized Linear Model 16. Metric-Predicted Variable on One or Two Groups 17. Metric Predicted Variable with One Metric Predictor 18. Metric Predicted Variable with Multiple Metric Predictors 19. Metric Predicted Variable with One Nominal Predictor 20. Metric Predicted Variable with Multiple Nominal Predictors 21. Dichotomous Predicted Variable 22. Nominal Predicted Variable 23. Ordinal Predicted Variable 24. Count Predicted Variable 25. Tools in the Trunk
£63.89
Elsevier Science Maximum Principles for the Hills Equation
Book SynopsisTrade Review"The book presents a deep and up-to-date theory on the Hill’s equation. It is well organized, by giving a rich list of references at the end of each chapter, as well as, a sufficient number of illustrative examples. It is easily readable by mathematicians working on the field of ordinary differential equations and, certainly, it could be recommended as a good guide for a related graduate course." --Zentralblatt Math "This volume will be useful for a wide range of mathematicians, including graduate students and researchers interested in the theory and applications of second-order ordinary differential equations, especially Hill type equations (which are still a hot topic at present) and also nonlinear equations, equations with singularities and parameters. The theorems are carefully proved, and in each chapter an adequate list of references is given. Finally, the book contains many explanatory remarks and examples which may contribute to a better understanding of the theoretical results." --Mathematical Reviews Clippings "This volume will be useful for a wide range of mathematicians, including graduate students and researchers interested in the theory and applications of second-order ordinary differential equations, especially Hill type equations (which are still a hot topic at present) and also nonlinear equations, equations with singularities and parameters. The theorems are carefully proved, and in each chapter an adequate list of references is given. Finally, the book contains many explanatory remarks and examples which may contribute to a better understanding of the theoretical results." --MathSciNetTable of Contents1. Introduction 2. Homogeneous Equation3. Non Homogeneous Equation4. Nonlinear EquationsAppendix: Sobolev Inequalities
£44.21
Elsevier Science Writing Small Omegas
Book SynopsisTrade Review"This is necessarily a very heavily mathematical book, which nevertheless manages to balance the need for such detail with an awareness of the historical context - great effort appears to have been taken, for example, to ensure that Cartan’s mathematics is interpreted on his terms, rather than in a modern way. The referencing throughout is sufficiently detailed to enable the reader to follow up on any points of interest, and a comprehensive index makes the book easy to navigate. This is an extremely valuable contribution to the study of the history of modern mathematics." --Zentralblatt MathTable of Contents1. Lie on the backstage2. Cartan’s doctoral dissertation3. Infinite Continuous Groups 1883-19024. Exterior Differential Systems5. Cartan’s Theory (1902-1909)6. The method of moving frames7. The geometry of continuous groups8. Conclusion
£162.00
Elsevier Science Geometrical Dimensioning and Tolerancing for
Book SynopsisTable of Contents1. Properties of the Surface 2. Principles of Tolerancing 3. Principles of Geometrical Tolerancing 4. Profile Tolerancing 5. Tolerancing of Cones 6. Positional Tolerancing 7. Tolerancing of Edges 8. Projected Tolerance Zone 9. Substitute Elements 10. Maximum Material Requirement 11. Envelope Requirement 12. Least Material Requirement 13. Tolerancing of Flexible Parts 14. Tolerance chains (accumulation of tolerances) 15. Statistical Tolerancing 16. Respecting Geometrical Tolerances During Manufacturing 17. General Geometrical Tolerances 18. Inspection of Geometrical Deviations 19. Function Related, Manufacturing Related, Inspection Related Geometrical Tolerancing 20. Examples of Geometrical Tolerancing 21. Differences Between ISO/ANSI/BS and Other Standards 22. Synopsis of ISO-Standards
£82.76
Elsevier Science Publishing Co Inc Introduction to Probability and Statistics for
Book SynopsisTable of ContentsCHAPTER 1 Introduction to statistics CHAPTER 2 Descriptive statistics CHAPTER 3 Elements of probability CHAPTER 4 Random variables and expectation CHAPTER 5 Special random variables CHAPTER 6 Distributions of sampling statistics CHAPTER 7 Parameter estimation CHAPTER 8 Hypothesis testing CHAPTER 9 Regression CHAPTER 10 Analysis of variance CHAPTER 11 Goodness of fit tests and categorical data analysis CHAPTER 12 Nonparametric hypothesis tests CHAPTER 13 Quality control CHAPTER 14 Life testing CHAPTER 15 Simulation, bootstrap statistical methods, and permutation tests CHAPTER 16 Machine learning and big data
£88.19
Pearson Education (US) Fundamentals of Statistical Processing
Book SynopsisIntended for practicing engineers and scientists who design and analyze signal processing systems. This work offers a unified presentation of parameter estimation for those involved in the design and implementation of statistical signal processing algorithms.Table of Contents 1. Introduction. 2. Minimum Variance Unbiased Estimation. 3. Cramer-Rao Lower Bound. 4. Linear Models. 5. General Minimum Variance Unbiased Estimation. 6. Best Linear Unbiased Estimators. 7. Maximum Likelihood Estimation. 8. Least Squares. 9. Method of Moments. 10. The Bayesian Philosophy. 11. General Bayesian Estimators. 12. Linear Bayesian Estimators. 13. Kalman Filters. 14. Summary of Estimators. 15. Extension for Complex Data and Parameters. Appendix: Review of Important Concepts. Glossary of Symbols and Abbreviations.
£92.42
Penguin Books Ltd About Time Einsteins Unfinished Revolution
Book SynopsisIn About Time: Einstein''s Unfinished Revolution Paul Davies confronts the puzzles and paradoxes of time that have bemused the world''s greatest thinkers throughout the ages.When Albert Einstein formulated his theory of relativity it brought about a revolution in our understanding of time, yet also presented a new set of mysteries. Einstein''s time can be warped, leading to bizarre possibilities such as black holes and time travel, while making a nonsense of our perception of a ''now'' or a division of time into past, present and future.In About Time Paul Davies tackles the tough questions about time, including the strange relationship between physical time and our psychological perception of it. He gives straightforward descriptions of topics such as the theory of relativity, the relation between time dilation and the speed of light and Hawking''s ''imaginary time''. He concludes that, despite decades of progress in unravelling the mysteries of Table of ContentsA very brief history of time; time for a change; timewarps; black holes - gateways to the end of time; the beginning of time - when exactly was it?; Einstein's greatest triumph?; quantum time; imaginary time; the arrow of time; backwards in time; time travel - fact or fantasy?; but what time is it now?; experimenting with time; the unfinished revolution.
£10.44
Penguin Books Ltd The Ten Equations that Rule the World
Book SynopsisTHE INTERNATIONAL BESTSELLER''An entertaining tour that will change how you see the world'' Sean Carroll, author of Something Deeply HiddenIs there a secret formula for improving your life? For making something a viral hit? For deciding how long to stick with your current job, Netflix series, or even relationship?This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthily and see through scaremongering. They are known only by mathematicians - until now.With wit and clarity, mathematician David Sumpter shows that it isn''t the technical details which make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone cTrade ReviewSometimes books about numbers come along and we're so ecstatic that we just pop with delight. One such book is The Ten Equations that Rule The World -- Tim Harford * More or Less BBC4 *Hugely entertaining, erudite and at times genuinely witty . . . it's nice to be spoken to in grown-up language by a genius. You will come away from Sumpter's book with a much clearer idea of why the world is less messy than it appears * E&T Magazine *These aren't the equations of Newton or Einstein -- crisp relations describing the evolution of a clockwork universe. These are the equations of randomness, expectation, and imperfect information. The equations, in other words, of the real world. David Sumpter provides an entertaining tour that will change how you see the world -- Sean Carroll author of Something Deeply HiddenSumpter writes fascinatingly about his experiences as a consulting mathematician. . . I will encourage my mathematics undergraduates to read this book since it will inspire them by showing the relevance of mathematics to today's world and make them think about the moral issues they will face as mathematicians * Times Higher Education *
£10.44
Oxford University Press Multilayer Networks Structure and Function
Book SynopsisMultilayer networks has become a central topic in Network Science. The book presents a comprehensive account of this emerging field. Multilayer networks are formed by several networks and include social networks, financial markets, multi-modal transportation systems, infrastructures, molecular networks, and the brain.Table of ContentsPart I: Single and multilayer networks 1: Complex systems as multilayer networks Part II: Single networks 2: The structure of single networks 3: The dynamics on single networks Part III: Multilayer networks 4: Multilayer networks in nature, society and infrastructures 5: The mathematical definition 6: Basic structural properties 7: Structural correlations of multiplex networks 8: Communities 9: Centrality measures 10: Multilayer network models 11: Interdependent multilayer networks 12: Classical percolation, generalized percolation and cascades 13: Epidemic spreading 14: Diffusion 15: Synchronization, non-linear dynamics and control 16: Opinion dynamics and game theory Appendix A: The Barabasi Albert model: the master equation Appendix B: Entropy and null models of single networks Appendix C: Growing multiplex networks: the master equation Appendix D: Percolation of interdependent networks Appendix E: Directed percolation of interdependent networks Appendix F: Immunization strategies on multiplex networks Appendix G: Spectrum of the Supra-Laplacian Part I: Single and multilayer networks 1: Complex systems as multilayer networks Part II: Single networks 2: The structure of single networks 3: The dynamics on single networks Part III: Multilayer networks 4: Multilayer networks in nature, society and infrastuctures 5: The mathematical definition 6: Basic structural properties 7: Structural correlations of multiplex networks 8: Communities 9: Centrality measures 10: Multilayer network models 11: Interdependent multilayer networks 12: Classical percolation, generalized percolation and cascades 13: Epidemic spreading 14: Diffusion 15: Synchronization, non-linear dynamics and control 16: Opinion dynamics and game theory Appendix A: The Barabasi Albert model: the master equation Appendix B: Entropy and null models of single networks Appendix C: Growing multiplex networks: the master equation Appendix D: Percolation of interdependent networks Appendix E: Directed percolation of interdependent networks Appendix F: Immunization strategies on multiplex networks Appendix G: Spectrum of the Supra-Laplacian
£33.24
Oxford University Press Mathematical Physics with Differential Equations
Book SynopsisThis textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.Table of ContentsPreface Notation and Convention 1: Hamiltonian Systems and Applications 2: Schrödinger Equation and Quantum Mechanics 3: Maxwell Equations, Dirac Monopole, and Gauge Fields 4: Special Relativity 5: Abelian Gauge Field Equations 6: Dirac Equations 7: GinzburgDSLandau Equations for Superconductivity 8: Magnetic Vortices in Abelian Higgs Theory 9: Non-Abelian Gauge Field Equations 10: Einstein Equations and Related Topics 11: Charged Vortices and ChernDSSimons Equations 12: Skyrme Model and Related Topics 13: Strings and Branes 14: BornDSInfeld Theory of Electromagnetism 15: Canonical Quantization of Fields Appendices Bibliography Index
£76.00
Oxford University Press Mathematical Physics with Differential Equations
Book SynopsisThis textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.Table of ContentsPreface Notation and Convention 1: Hamiltonian Systems and Applications 2: Schrödinger Equation and Quantum Mechanics 3: Maxwell Equations, Dirac Monopole, and Gauge Fields 4: Special Relativity 5: Abelian Gauge Field Equations 6: Dirac Equations 7: GinzburgDSLandau Equations for Superconductivity 8: Magnetic Vortices in Abelian Higgs Theory 9: Non-Abelian Gauge Field Equations 10: Einstein Equations and Related Topics 11: Charged Vortices and ChernDSSimons Equations 12: Skyrme Model and Related Topics 13: Strings and Branes 14: BornDSInfeld Theory of Electromagnetism 15: Canonical Quantization of Fields Appendices Bibliography Index
£38.00
Oxford University Press, USA Parallel Optimization Theory Algorithms and Applications Numerical Mathematics and Scientific Computation
Book SynopsisThis text provides an introduction to the methods of parallel optimization by introducing parallel computing ideas and techniques into both optimization theory and numerical algorithms for large-scale optimization problems.Trade Review"This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical Reviews "This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical ReviewsTable of ContentsForeword ; Preface ; Glossary of Symbols ; 1. Introduction ; Part I Theory ; 2. Generalized Distances and Generalized Projections ; 3. Proximal Minimization with D-Functions ; Part II Algorithms ; 4. Penalty Methods, Barrier Methods and Augmented Lagrangians ; 5. Iterative Methods for Convex Feasibility Problems ; 6. Iterative Algorithms for Linearly Constrained Optimization Problems ; 7. Model Decomposition Algorithms ; 8. Decompositions in Interior Point Algorithms ; Part III Applications ; 9. Matrix Estimation Problems ; 10. Image Reconsturction from Projections ; 11. The Inverse Problem in Radiation Therapy Treatment Planning ; 12. Multicommodity Network Flow Problems ; 13. Planning Under Uncertainty ; 14. Decompositions for Parallel Computing ; 15. Numerical Investigations
£195.75
Oxford University Press Inc Introductory Mathematical Economics
Book SynopsisProviding an overview of computational mathematics and a series of key economics problems using "higher mathematics", this book presents a mix of classical and contemporary economic theory. It also covers the problems of uncertainty, continuous-time dynamics, comparative statistics, and the applications of optimization methods to economics.Table of Contents0. Review of Mathematics ; 1. Economic Applications of One-Variable Calculus ; 2. Economic Applications of Multivariate Calculus ; COMPARATIVE STATICS 1: ONE AND TWO VARIABLES WITH AND WITHOUT OPTIMIZATION ; 4. Integration, Time and Uncertainty in Economics ; 5. Introduction to Continuous-Time Dynamics in One and Two Dimensions ; 6. Matrices and Economic Theory ; 7. Comparative Statics 2: n Variables with and without Optimization ; 8. Comparative Statics 3: Optimization under Constraint ; 9. Inequality Constraints in Optimization Theory
£160.92
Oxford University Press From Complexity to Life
Book SynopsisThis book brings together an impressive group of leading scholars in the sciences of complexity, and a few workers on the interface of science and religion, to explore the wider implications of complexity studies. It includes an introduction to complexity studies and explores the concept of information in physics and biology and various philosophical and religious perspectives. Chapter authors include Paul Davies, Greg Chaitin, Charles Bennett, Werner Loewenstein, Paul Dembski, Ian Stewart, Stuart Kauffman, Harold Morowitz, Arthur Peacocke, and Niels H. Gregersen.Trade ReviewMelanie Mitchell's book is most enjoyable, truly inspiring, skillfully written, and, above all, beautifully clear. The author's enthusiasm and passion for the field make the book fascinating to read. Her rigor, clarity, and healthy skepticism make the book sound and the field scientifically stronger. It is an excellent and rigorous account of the scientific field of complexity. She proves by example that it is possible to explain complex systems science with rigor, breadth, depth, and - above all - exquisite clarity * Artificial Life *Table of ContentsPart 1: Introduction ; 1. Towards an Emergentist Worldview ; Part 2: Defining Complexity ; 2. Randomness and Mathematical Proof ; 3. "How to define Complexity in Physics, and Why?" ; Part 3: The Concept of Information in Physics and Biology ; 4. The Emergence of Autonomous Agents ; 5. Complexity and The Arrow of Time ; 6. Can Evolutionary Algorithms Generate Specified Complexity? ; 7. The Second Law of Thermodynamics and the Fourth Law of Thermodynamics ; 8. Two Arrows from a Mighty Bow ; Part 4: Philosophical and Religious Perspectives ; 9. Emergence of Transcendence ; 10. Complexity, Emergence and Divine Creativity ; 11. From Anthropic Design to Self-Organized Complexity
£26.09
Oxford University Press An Introduction To Numerical Methods In C
Book SynopsisDesigned for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text communicates an enthusiasm for the power of C++, an object-oriented language, as a tool for this kind of work. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition this revision includes new topics and methods throughout the text that clarify and enhance the treatment of the subject. From reviews of the first edition: ''If you are interested in numerical methods or are looking for a course text this book is worth your attention.'''' Journal of the Association of C and C++ UsersTable of Contents1. Preliminaries ; 2. Expressions, statements and functions ; 3. Errors, theorems and speed ; 4. Roots of non-linear equations ; 5. Classes ; 6. Derived classes and streams ; 7. Integer arithmetic ; 8. Tests of randomness ; 9. Vectors and matrices ; 10. Direct solution of linear equations ; 11. Errors in matrix manipulation ; 12. Iterative solutions of systems of equations ; 13. Matrix eigenvalue problems ; 14. Interpolation and data fitting ; 15. Graphics ; 16. Differentiation and integration ; 17. Orthogonal polynomials ; 18. Differential equations ; 19. More about differential equations ; 20. Recursive data types - lists ; 21. Elements of Fourier analysis
£117.50
Clarendon Press Statistical Physics of Spin Glasses and Information Processing
Book SynopsisSpin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, these techniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that provide a broad overview of this interdisciplinary field. Most of the book is written in a self-contained manner, assuming only a general knowledge of statistical mechanics and basic probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments.Trade Review... very enjoyable to read and often opening the reader's eye to new possibilities. This is a perfect introduction to the field for students and researchers who want to study problems in information science, including the use of physics in information processing * Butsuri *Table of Contents1. Mean-field theory of phase transitions ; 2. Mean-field theory of spin glasses ; 3. Replica symmetry breaking ; 4. Gauge theory of spin glasses ; 5. Error-correcting codes ; 6. Image restoration ; 7. Associative memory ; 8. Learning in perceptron ; 9. Optimization problems ; A. Eigenvalues of the Hessian ; B. Parisi equation ; C. Channel coding theorem ; D. Distribution and free energy of K-Sat ; References ; Index
£92.25
Oxford University Press Phylogenetics
Book Synopsis''Phylogenetics'' is the reconstruction and analysis of phylogenetic (evolutionary) trees and networks based on inherited characteristics. It is a flourishing area of intereaction between mathematics, statistics, computer science and biology.The main role of phylogenetic techniques lies in evolutionary biology, where it is used to infer historical relationships between species. However, the methods are also relevant to a diverse range of fields including epidemiology, ecology, medicine, as well as linguistics and cognitive psychologyThis graduate-level book, based on the authors lectures at The University of Canterbury, New Zealand, focuses on the mathematical aspects of phylogenetics. It brings together the central results of the field (providing proofs of the main theorem), outlines their biological significance,and indicates how algorithms may be derived. The presentation is self-contained and relies on discrete mathematics with some probability theory. A set of exercises and at least one specialist topic ends each chapter.This book is intended for biologists interested in the mathematical theory behind phylogenetic methods, and for mathematicians, statisticians, and computer scientists eager to learn about this emerging area of discrete mathematics.''Phylogenetics'' in the 24th volume in the Oxford Lecture Series in Mathematics and its Applications. This series contains short books suitable for graduate students and researchers who want a well-written account of mathematics that is fundamental to current to research. The series emphasises future directions of research and focuses on genuine applications of mathematics to finance, engineering and the physical and biological sciences.Trade ReviewThe authors' versatility in words, as well as in mathematics, makes reading this book altogether an enjoyable experience for the mathematically-inclined. * Systematic Biology *The authors state in the preface that their intention is to provide "a reasonably self-contained overview of an expanding field". In our opinion, they certainly succeed in meeting that goal. * Systematic Biology *All in all, this book should serve as an excellent mathematical introduction to phylogenetics for beginners and as a good reference for experts in the field. * Systematic Biology *Concisely and clearly written, Phylogenetics is a must-read for mathematicians or computer scientists who wish to do research in molecular phylogenetics, computational biology and bioinformatics. I hope the book will attract powerful mathematicians into this exciting area of research. * TRENDS in Ecology and Evolution *... this book provides a concise and lucid summary of the mathematics literature related to phylogenetics. * TRENDS in Ecology and Evolution *Table of ContentsPreliminaries ; 1. Graphs and their role in biology ; 2. X-trees and phylogenetic trees ; 3. Trees and splits ; 4. Compatibility of characters ; 5. Maximum Parsimony ; 6. Subtrees and supertrees ; 7. Tree-based metrics ; 8. Markov models on trees ; References ; Commonly-used symbols ; Index
£119.25
Clarendon Press Group Theory in Subnuclear Physics 19 Oxford Studies in Nuclear Physics
Book SynopsisThe book, which has grown out of a course given over the past ten years, provides an introduction to group theory and its application in subnuclear physics, particularly in multi-quark systems and hadron spectroscopy. A number of exercises, with solutions, are included.Trade ReviewThe book may be treated as a modern "practical introduction to concepts of group theory and some of their applications, especially in subnuclear physics"......In the text, the general statements and investigations are illustrated by many concrete examples given, as a rule, in explicit expanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book. * Zeitschrift fur Mathematik *Table of Contents1. Symmetries in quantum mechanics ; 2. Elements of group theory ; 3. Linear representations of a group ; 4. Permutation group Sn ; 5. Lie groups ; 6. The orthogonal group ; 7. The Poincare group and the Lorenz group ; 8. Unitary groups ; 9. Gauge groups ; 10. Multiquark systems ; Appendix A: Conservation Laws ; Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem ; Appendix C: Invariant Integration ; Appendix D: Dimension of an SU(n) irrep
£162.00
Oxford University Press The Theory of Open Quantum Systems
Book SynopsisThis book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states.The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algTrade ReviewThis book covers a large set of topics, normally not covered in standard physics curricula ... I recommend this book to physicists interested in widening their horizons in the directions covered by the book ... I do not know of any other source providing such a systematic and well written introduction into this area of research. * Mathematical Reviews *Table of ContentsPREFACE ; ACKNOWLEDGEMENTS ; PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS ; 1. Classical probability theory and stochastic processes ; 2. Quantum Probability ; PART 2: DENSITY MATRIX THEORY ; 3. Quantum Master Equations ; 4. Decoherence ; PART 3: STOCHASTIC PROCESSES IN HILBERT SPACE ; 5. Probability distributions on Hilbert space ; 6. Stochastic dynamics in Hilbert space ; 7. The stochastic simulation method ; 8. Applications to quantum optical systems ; PART 4: NON-MARKOVIAN QUANTUM PROCESSES ; 9. Projection operator techniques ; 10. Non-Markovian dynamics in physical systems ; PART 5: RELATIVISTIC QUANTUM PROCESSES ; 11. Measurements in relativistic quantum mechanics ; 12. Open quantum electrodynamics
£157.50
Oxford University Press SpectralHP Element Methods for Computational Fluid Dynamics
Book SynopsisSpectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques, this text aims to introduce a wider audience to the use oTrade ReviewThe book contains a large amount of material, including a number of exercises, examples and figures. The book will be helpful to specialists coming into contact with CFD, applied and numerical mathematicians, engineers, physicists and specialists in climate and ocean modeling. It can also be recommended for advanced students of these disciplines. * EMS Newsletter *This book will probably help popularize the spectral/hp element method. Not only should it be recommended to researchers working on spectral/hp methods but it should also be on the wish list of all those who are interested in computational fluid dynamics. * Jean-Luc Guermond, Mathematical Reviews *Table of ContentsIntroduction ; Fundamental concepts in one dimension ; Multi-dimensional expansion bases ; Multi-dimensional formulations ; Diffusion equation ; Advection and advection-diffusion ; Non-conforming elements ; Algorithms for incompressible flows ; Incompressible flow simulations:verification and validation ; Hyperbolic conservation laws ; Appendices ; Jacobi polynomials ; Gauss-Type integration ; Collocation differentiation ; Co discontinuous expansion bases ; Characteristic flux decomposition ; References ; Index
£164.25
Clarendon Press A First Course in Coding Theory Paperback
Book SynopsisAlgebraic coding theory is a new and rapidly developing subject, motivated by immediate practical applications, but also rich in mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes.
£71.10
Clarendon Press TypeTheoretical Grammar 1 Indices
Book SynopsisBL First book to apply type theory to natural language Per Martin Lof first presented constructive type theory in 1970 and it has become intrinsic to the foundations of mathematics and computer science. This book is the first to take an in-depth look at the theory from the point of view of linguistics and the philosophy of language.Trade Review'The formalism introduced by the author allows better understanding of the role of semantics in grammars of natural languages and supplies mechnisms for various levels of linguistic description.' T.Balanescu, Zenrrallblatt fur Mathematik und ihre Grenzgebiete No. 855, 1997Table of Contents1. Preliminary remarks ; 2. Gradual introduction to type theory ; 3. Logical operators in English ; 4. Anaphoric expressions ; 5. Temporal reference ; 6. Text and discourse ; 7. Context and possible worlds ; 8. Higher-level type theory ; 9. Sugaring and parsing ; Appendix ; Sugaring in ALF ; Bibliography ; Index
£77.40
Oxford University Press, USA An Introduction to the Kinetic Theory of Gases and Magnetoplasmas Oxford Science Publications
Book SynopsisGives a physical treatment of the kinetic theory of gases and magnetoplasmas, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or fallen short of expectations. L.C. Woods has also written "The Thermodynamics of Fluid Systems".Trade Reviewthe book presents a treatment of the kinetic theory of gases and magnetoplasmas in such a way that it covers the standard material in a way as simple as possible .,.. The book seems to radiate a deep conviction - which is appreciated by the reviewer - that the development of the kinetic theory needs not only calculational skills and computational magic in evaluating the content of the theory in model arrangements, but equally, if not in excess, deep insight into the physical processes. * I. Abonyi, Besprechungsbelege, February 1994 *Table of Contents1. Basic concepts ; 2. The Maxwellian velocity distribution ; 3. Elementary kinetic theory ; 4. Particle diffusion ; 5. Intermediate kinetic theory ; 6. Advanced kinetic theory ; 7. Boltzmann's kinetic equation ; 8. Second-order kinetic theory ; 9. Dynamics of charged particles ; 10. Kinetic theory for magnetoplasmas ; 11. Transport across strong magnetic fields ; Appendix ; References ; Index
£73.95
Oxford University Press An Introduction to Quantum Computing
Book SynopsisThis concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.Trade ReviewThe book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * MathSciNet *Table of ContentsPreface ; 1. Introduction and background ; 2. Linear algebra and the Dirac notation ; 3. Qubits and the framework of quantum mechanics ; 4. A quantum model of computation ; 5. Superdense coding and quantum teleportation ; 6. Introductory quantum algorithms ; 7. Algorithms with super-polynomial speed-up ; 8. Algorithms based on amplitude amplification ; 9. Quantum computational complexity theory and lower bounds ; 10. Quantum error correction ; Appendices ; Bibliography ; Index
£57.95
Clarendon Press Elementary Fluid Dynamics
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).
£74.10
Oxford University Press Time Series A Biostatistical Introduction
Book SynopsisTime series analysis is one of several branches of statistics whose practical importance has increased with the availability of powerful computational tools. Methodology that was originally developed for specialized applications, for example in finance or geophysics, is now widely available within general statistical packages. The second edition of Time Series: A Biostatistical Introduction is an introductory account of time series analysis, written from the perspective of applied statisticians whose interests lie primarily in the biomedical and health sciences. This edition has a stronger focus on substantive applications, in which each statistical analysis is directed at a specific research question. Separate chapters cover simple descriptive methods of analysis, including time-plots, smoothing, the correlogram and the periodogram; theory of stationary random processes; discrete-time models for single series; continuous-time models for single series; generalized linear models for time series of counts; models for replicated series; spectral analysis, and bivariate time series.The book is unique in its focus on biomedical and health science applications, which has been strengthened in this second edition. Nevertheless, the methods described are more widely applicable. It should be useful to teachers and students on masters-level degree courses in statistics, biostatistics and epidemiology, and to biomedical and health scientists with a knowledge of statistical methods at undergraduate level. Throughout, examples based on real datasets show a close interplay between statistical method and substantive science. This book will also describe the implementation of the methods in the R computing environment and provide access to R code and datasets.
£38.00
Oxford University Press Mathematical Finance
Book SynopsisIn recent years the finance industry has mushroomed to become an important part of modern economies, and many science and engineering graduates have joined the industry as quantitative analysts, with mathematical and computational skills that are needed to solve complex problems of asset valuation and risk management. An important parallel story exists of scientific endeavour. Between 1965-1995, insightful ideas in economics about asset valuation were turned into a mathematical ''theory of arbitrage'', an enterprise whose first achievement was the famous 1973 Black-Scholes formula, followed by extensive investigations using all the resources of modern analysis and probability. The growth of the finance industry proceeded hand-in-hand with these developments. Now new challenges arise to deal with the fallout from the 2008 financial crisis and to take advantage of new technology, which has revolutionized the practice of trading. This Very Short Introduction introduces readers with no previous background in this area to arbitrage theory and why it works the way it does. Illuminating pricing theory, Mark Davis explains its applications to interest rates, credit trading, fund management and risk management. He concludes with a survey of the most pressing issues in mathematical finance today.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewOnly a scholar of the highest order could provide the depth, breadth, clarity, precision, and brevity to be found in this work. Enjoy the resulting gem. * Dilip B. Madan, Professor of Finance, Robert H. Smith School of Business *This elegant little book will enthral readers looking for a clear sense of what mathematical finance is all about. Each chapter captures the essential ideas within a different aspect of the subject, without burying readers in abstruse models. Davis knows the subject so well, from both the mathematical and practical viewpoints, that he can make it accessible, relevant, and correct, all at the same time. * Darrell Duffie, Dean Witter Distinguished Professor of Finance, Stanford University *With concise explanations of the most important financial mathematical correlations and the mathematical formulas necessary for them, this book represents a successful very short introduction into this complex topic. * zbMATH *Table of ContentsPreface 1: Money, banking, and financial markets 2: Quantifying risks 3: The classical theory of option pricing 4: Interest rates 5: Credit risk 6: Fund management 7: Risk management 8: The banking crisis and its aftermatch Epilogue Further reading Index
£9.49
Oxford University Press Foundations of Science Mathematics OCP 2e Oxford
Book SynopsisMathematics plays a key part in every quantitative and theoretical subject, and is taught to all science and engineering students. Foundations of Science Mathematics bridges the gap between school and university, and spans a large range of topics, from basic arithmetic and algebra to calculus, Fourier transforms, and elementary data analysis. Problems and worked solutions are presented in an informal and readable tutorial style, making the text accessible to the novice, while its concise nature ensures that it is a useful reference for the experienced professional.The first edition primer and its companion ''Worked Problems'' workbook are combined in this new edition, and a new chapter on data analysis has been added to ensure the book remains as comprehensive and useful to students as possible.Trade ReviewThe answers to the worked examples are superb, very instructive, and include detailed sketches. * Dr Athanasia Dervisi, Cardiff University *There is a selection of worked examples in a chemistry context which help students to apply maths more efficiently in their chemistry modules. * Dr Gita Sedghi, University of Liverpool *Excellent, concise coverage of basic algebra. * Prof Scott Woodley, University College London *Table of Contents1: Basic algebra and arithmetic 2: Curves and graphs 3: Trigonometry 4: Differentiation 5: Integration 6: Taylor series 7: Complex numbers 8: Vectors 9: Matricies 10: Partial differentiation 11: Line integrals 12: Multiple integrals 13: Ordinary differential equations 14: Partial differential equations 15: Fourier series and transforms 16: Data analysis
£32.99
Oxford University Press Introduction to Electrodynamics
Book SynopsisA contemporary textbook in the field of electromagnetism. Not only is it comprehensive in its coverage of undergraduate material on electrodynamics, but the textboook includes some advanced topics in applied physics, such as fusions plasmas, stellar magnetism and planetary dynamos.Table of Contents1: Vector Calculus 2: The Physical Signatures of Three Important Partial Differential Equations 3: A Bird's Eye View of Electromagnetism 4: The Foundations of Electrostatics 5: Solving for Electrostatic Fields, the Multipole Expansion and Electrostatic Energy 6: Dielectrics 7: Magnetostatics I: The Magnetic Field, Ampère's Law and the Biot-Savart Law 8: 8 Magnetostatics II: Dipoles, Force Distributions and Energy 9: Magnetic Fields in Matter 10: Faraday's Law of Electromagnetic Induction 11: Quasi-Static Magnetic Fields: Magnetic Energy and Inductance 12: Transient and AC Circuits 13: Static Versus Dynamic Fields: Maxwell's Equations 14: Confined Waves: Transmission Lines, Waveguides and Resonant Cavities 15: Maxwell's Equations in Free Space I: the Propagation of Waves 16: Maxwell's Equations in Free Space II: Radiation 17: Maxwell's Equations in Free Space III: the Fields of Moving Charges 18: Maxwell's Equations in Dielectric and Magnetic Materials 19: Plane Waves in Stationary Dielectrics and Conductors 20: Magnetoydrodynamics I: Governing Equations and Kinematic Theorems 21: Magnetohydrodynamics II: Fusion Plasmas, Alfvén Waves, Planetary Dynamos and Stellar Magnetism 22: An Introduction to Special Relativity 23: Electromagnetism and Special Relativity
£69.55
Oxford University Press Relativistic Hydrodynamics
Book SynopsisRelativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions).It is often said that fluids are either seen as solutions of partial differential equations or as wet. Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.Trade ReviewThis is a very informative and very useful book indeed, written with clarity and pedagogical skill by two of the leading experts in this fascinating field. The readership may range from the advanced undergraduate to the senior expert. The value-to-money ratio is exceptional. I am sure it will become a standard reference for many years to come. * Domenico Giulini, General Relativity and Gravitation *The book by Rezzolla and Zanotti offers a comprehensive and detailed coverage of the theory, numerical methods and applications of relativistic hydrodynamics. Its breadth and depth are impressive and will likely make it a classic text in the field. [...] The book leaves little to wish for, and for readers who now enter the field of numerical relativistic hydrodynamics it will become an invaluable companion in their career as researchers. * Classical and Quantum Gravity *This book covers a long missing gap in the scientific literature. It provides a didactic, coherent description of Relativistic Hydrodynamics, a subject that falls between relativity and hydrodynamics, and as such missed by textbooks in either field. A good grasp of relativistic hydrodynamics is essential for students and researchers working in relativistic astrophysics, one of the most flourishing branches of astrophysics today. In addition to providing a clear and broad exposition of the theoretical foundation, the book covers extensively numerical methods as well as applications to a variety of astronomical phenomena ranging from relativistic jets to neutron star binaries. * Tsvi Piran, Racah Institute of Physics *For the unique content, I recommend this book unreservedly, to anyone who is interested or wants to learn more about thi fascinating topic. * John M. Stewart, Contemporary Physics *Relativistic hydrodynamics is an essential tool for astrophysicists and cosmologists in their quest to understand the universe. For many years, they have needed a modern text that introduces the subject pedagogically, and carries the reader to the level of maturity required for modern research. This book, at last, fills this need, and it does so superbly. It is likely to be the definitive book on the subject for many years to come. * Kip S. Thorne, California Institute of Technology *This impressive work will doubtlessly be of great use for many people working in relativistic hydrodynamics, be it students or more experienced researchers. * Ewald Mueller, Max Planck Institute for Astrophysics *The book is an excellent introduction to the topic of relativistic hydrodynamics, covering all aspects from kinetic theory to modern numerical applications in evolving spacetimes. Two leading experts in this field have provided the physical and astrophysical community with this rigorous, comprehensive, and up-to-date treatise, which I am sure will soon become a classic textbook for many advanced courses on high-energy physics and astrophysics. * Luca Del Zanna, Department of Physics and Astronomy, University of Florence *This book provides, with an impressive breadth and depth, a clear view of the mathematics, numerical methods, and applications of general relativistic hydrodynamics, featuring advanced topics on reaction fronts and non-ideal fluids as well as a comprehensive review of high-resolution shock-capturing methods. It is destined to become a necessity for anyone teaching, studying, or working in this field. * Pablo Laguna, Center for Relativistic Astrophysics, Georgia Institute of Technology *Table of ContentsPART I THE PHYSICS OF RELATIVISTIC HYDRODYNAMICS; PART II NUMERICAL RELATIVISTIC HYDRODYNAMICS; PART III APPLICATIONS OF RELATIVISTIC HYDRODYNAMICS
£42.74
Oxford University Press Topology
Book SynopsisHow is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics.In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewThe book is written in an intuitive, informal and motivating style, with emphasis on concepts, ideas, examples and historical comments, and can be recommended as parallel reading for students of a basic course in topology. * Bruno Zimmermann, zbMATH *Table of Contents1: What is Topology? 2: Making Surfaces 3: Thinking Continuously 4: The Plane and Other Spaces 5: Flavours of Topology 6: More on Surfaces 7: Knot to Be Historical Timeline Further Reading Index
£9.49
Oxford University Press The Equations of Materials
Book SynopsisThis book describes some of the important equations of materials and the scientists who derived them. The text is readable and enjoyable, and is aimed at anyone interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites.Trade ReviewA wonderful book ... that does not take more than a couple of weeks to digest. Although students these days do not purchase many books, this particular text might be considered worth owning. * Harry Bhadeshia, University of Cambridge *A unique book - there is nothing like this in materials science that combines biography and analysis of the importance of equations. * Mark Miodownik, University College London *Engaging, effective and surprisingly readable... with an unflowery and straightforward style that pushes things along. * Patrick Grant, University of Oxford *Table of Contents1: Bravais Lattices: Crystals 2: Bragg's Law: Diffraction 3: The Gibbs phase rule 4: The Boltzmann equation: Thermodynamics 5: The Arrhenius equation: Reactions 6: The Gibbs-Thomson Equation: Surfaces 7: Fick's Laws: Diffusion 8: The Scheil Equation: Solidification 9: The Avrami Equation: Phase Transformations 10: Hooke's Law: Elasticity 11: The Burgers Vector: Plasticity 12: Griffith's Equation: Fracture 13: The Fermi Level: Electrical Properties
£37.52
Oxford University Press Linear Algebra for the 21st Century
Book SynopsisCustomarily, much of traditional mathematics curricula was predicated on ''by hand'' calculation. However, ubiquitous computing requires us to refresh what we teach and how it is taught. This is especially true in the rapidly broadening fields of Data Mining and Artificial Intelligence, and also in fields such as Bioinformatics, which all require the use of Singular Value Decomposition (SVD). Indeed, SVD is sometimes called the jewel in the crown of linear algebra.Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places the SVD as central to the text early on to empower science and engineering students to learn and use potent practical and theoretical techniques. No rigour is lost in this new route as the text demonstrates that most theory is better proved with an SVD.In addition to this, there is earlier introduction, development, and emphasis on orthogonality that is vital in so many applied disciplines throughout Trade ReviewHighly recommended for everyone needing linear algebra competence and looking for a motivating, application oriented, comprehensible yet complete text, using modern computational tools. * Dieter Riebesehl, zbMATH Open *this is the first text I have read that uses SVD as the main operation to solve systems of linear equations instead of the traditional augmented matrix and elementary row operations to obtain a reduced row echelon form * Peter Olszewski, Pennsylvania State University, Acta Crystallographica *Table of Contents1: Vectors 2: Systems of linear equations 3: Matrices encode system interactions 4: Eigenvalues and eigenvectors of symmetric matrices 5: Approximate matrices 6: Determinants distinguish matrices 7: Eigenvalues and eigenvectors in general
£65.91
Oxford University Press Statistical Mechanics Entropy Order Parameters
Book SynopsisA new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.Trade ReviewReview from previous edition Since the book treats intersections of mathematics, biology, engineering, computer science and social sciences, it will be of great help to researchers in these fields in making statistical mechanics useful and comprehensible. At the same time, the book will enrich the subject for physicists who'd like to apply their skills in other disciplines. [...] The author's style, although quite concentrated, is simple to understand, and has many lovely visual examples to accompany formal ideas and concepts, which makes the exposition live and intuitvely appealing. * Olga K. Dudko, Journal of Statistical Physics, Vol 126 *Sethna's book provides an important service to students who want to learn modern statistical mechanics. The text teaches students how to work out problems by guiding them through the exercises rather than by presenting them with worked-out examples. * Susan Coppersmith, Physics Today, May 2007 *Table of ContentsPreface Contents List of figures What is statistical mechanics? 1.1: Quantum dice and coins 1.2: Probability distributions 1.3: Waiting time paradox 1.4: Stirling>'s formula 1.5: Stirling and asymptotic series 1.6: Random matrix theory 1.7: Six degrees of separation 1.8: Satisfactory map colorings 1.9: First to fail: Weibull 1.10: Emergence 1.11: Emergent vs. fundamental 1.12: Self-propelled particles 1.13: The birthday problem 1.14: Width of the height distribution 1.15: Fisher information and Cram´erDSRao 1.16: Distances in probability space Random walks and emergent properties 2.1: Random walk examples: universality and scale invariance 2.2: The diffusion equation 2.3: Currents and external forces 2.4: Solving the diffusion equation Temperature and equilibrium 3.1: The microcanonical ensemble 3.2: The microcanonical ideal gas 3.3: What is temperature? 3.4: Pressure and chemical potential 3.5: Entropy, the ideal gas, and phase-space refinements Phase-space dynamics and ergodicity 4.1: Liouville>'s theorem 4.2: Ergodicity Entropy 5.1: Entropy as irreversibility: engines and the heat death of the Universe 5.2: Entropy as disorder 5.3: Entropy as ignorance: information and memory Free energies 6.1: The canonical ensemble 6.2: Uncoupled systems and canonical ensembles 6.3: Grand canonical ensemble 6.4: What is thermodynamics? 6.5: Mechanics: friction and fluctuations 6.6: Chemical equilibrium and reaction rates 6.7: Free energy density for the ideal gas Quantum statistical mechanics 7.1: Mixed states and density matrices 7.2: Quantum harmonic oscillator 7.3: Bose and Fermi statistics 7.4: Non-interacting bosons and fermions 7.5: MaxwellDSBoltzmann 's regression hypothesis and time correlations 10.5: Susceptibility and linear response 10.6: Dissipation and the imaginary part 10.7: Static susceptibility 10.8: The fluctuation-dissipation theorem 10.9: Causality and KramersDSKr¨onig Abrupt phase transitions 11.1: Stable and metastable phases 11.2: Maxwell construction 11.3: Nucleation: critical droplet theory 11.4: Morphology of abrupt transitions Continuous phase transitions 12.1: Universality 12.2: Scale invariance 12.3: Examples of critical points A Appendix: Fourier methods A.1: Fourier conventions A.2: Derivatives, convolutions, and correlations A.3: Fourier methods and function space A.4: Fourier and translational symmetry References Index
£36.09
Oxford University Press Incompressible Fluid Dynamics
Book SynopsisIncompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysicsTrade ReviewDavidson provides a specialized text on fluid dynamics. The first six chapters are devoted to basic fluid mechanics topics covered in standard undergraduate textbooks, but Davidson approaches these with a level of rigor suitable to more advanced students and readers. Chapters 7-10 cover topics mostly related to geophysical flows such as waves, stratified flows, and rotating flows. The last four chapters are devoted to instability and turbulence. Overall, this is an excellent book on the topic. The text is carefully written and insightful and reads easily. A suitable number of figures support Davidson's explanation of particular concepts. A strong point of this work is Davidson's emphasis on physical insights. The text will be helpful to senior undergraduates, graduate students, and researchers in the general area of fluid dynamics, particularly those interested in geophysical applications. * M. Reza Alam, University of California, Berkeley, Professor of Mechanical Engineering *Table of Contents1: Elementary Definitions, Some Simple Kinematics and the Dynamics of Ideal Fluids 2: Governing Equations and Flow Regimes for a Real Fluid 3: Some Elementary Solutions of the Navier-Stokes Equation 4: Flows with Negligible Inertia: Stokes Flow, Lubrication Theory and Thin Films 5: Laminar Flow at High Reynolds Number: Boundary Layers 6: Potential Flow Theory with Applications to Aerodynamics 7: Surface Gravity Waves in Deep and Shallow Water 8: Vortex Dynamics: Classical Theory and Illustrative Examples 9: Waves and Flow in a Stratified Fluid 10: Waves and Flow in a Rotating Fluid 11: Instability 12: The Transition to Turbulence and the Nature of Chaos 13: An Introduction to Turbulence and to Kolmogorov's Theory 14: Turbulent Shear Flows and Simple Closure Models 15: Appendices
£60.37
Oxford University Press 2Dimensional Categories
Book SynopsisCategory theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other sciences. This book is about 2-dimensional categories, which add an extra dimension of richness and complexity to category theory. 2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories, pasting diagrams, lax functors, 2-/bilimits, the Duskin nerve, 2-nerve, internal adjunctions, monads in bicategories, 2-monads, biequivalences, the Bicategorical Yoneda Lemma, and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicatTrade ReviewThis provides a highly useful resource for research mathematicians in various areas and graduate students alike. A clear benefit of this book is that often the data of a general definition are spelled out in detail. * Robert Laugwitz, Mathematical Reviews Clippings *This is a long-waited introduction to 2-categories and bicategories * Hirokazu Nishimura, zbMATH Open *Table of Contents1: Categories 2: 2-Categories and Bicategories 3: Pasting Diagrams 4: Functors, Transformations, and Modifications 5: Bicategorical Limits and Nerves 6: Adjunctions and Monads 7: The Whitehead Theorem for Bicategories 8: The Yoneda Lemma and Coherence 9: Grothendieck Fibrations 10: The Grothendieck Construction 11: The Tricategory of Bicategories 12: Further 2-Dimensional Categorical Structures
£68.76
Oxford University Press The Dynamics of Rotating Fluids
Book SynopsisThis textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the b
£42.75
Oxford University Press Geophysical Fluid Dynamics
Book SynopsisGeophysical Fluid Dynamics examines the dynamics of stratified and turbulent fluid motion in the atmosphere, ocean and outer core. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete ''primitive equations'' models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes.This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations
£42.75
Oxford University Press Deep Learning for Computational Imaging
Book SynopsisThis textbook offers an introduction to deep learning for solving inverse problems. It introduces deep neural networks and deep neural network based signal and image reconstruction techniques. It discusses robustness aspects, how to evaluate and test different methods, and data-centric aspects.
£38.00
Oxford University Press, USA Smoothing and Decay Estimates for Nonlinear Diffusion Equations
Book SynopsisThis text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity (equations of porous medium type), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic pTrade ReviewThis book is intended to introduce graduate students to the methods and results of nonlinear diffusion equations of porous medium type, as practised today. The present text, remarkable for generality and depth, is also notable for its author's concern, throughout, to keep the important issues about varieties clearly in the foreground ... [the book] succeeds admirably, in the reviewer's opinion, in introducing its difficult subject at a level appropriate for preparing future workers in the field. * Vicentiu Radulescu, Mathematical Reviews Issue 2007k *Table of ContentsPART I; PART II; PART III
£108.00
