Differential calculus and equations Books
Taylor & Francis Ltd Distribution Integral Transforms and Applications 7 Analytical Methods and Special Functions
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£114.00
Taylor & Francis Ltd Set Valued Mappings with Applications in Nonlinear Analysis Mathematical Analysis and Applications
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£175.75
Taylor & Francis Ltd Partial Difference Equations 3 Advances in Discrete Mathematics and Applications
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£114.00
Elsevier Science Theory and Applications of Fractional Differential Equations
Book SynopsisProvides developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. This book is application oriented and it contains the theory of Fractional Differential Equations. It provides problems and directions for further investigations.Trade Review"This book presents a nice and systematic treatment of the theory and applications of fractional differential equations." --ZENTRALBLATT MATH DATABASE 1931-2007"This book is a valuable resource for any worker in electronic structure theory, both for its insight into the utility of a variety of relativistic methods, and for its assessment of the contribution of relativity to a wide range of experimental properties." --THEOR CHEM ACC (2007)"For obvious reasons, the book is rather technical, but its main goal is the ultimate applications. These are explicitly or implicitly present during the whole text but they are only treated in their mathematical formulation. I.e., the electrotechnical, biological, optical, or whatever exotic context it could have been embedded in is avoided here. The book is thus certainly interesting for the (applied) mathematician, but, also for researchers who are working in one of the quite diverse applied areas where fractional models are more and more used these days." --Bulletin of the Belgian Mathematical SocietyTable of Contents1. Preliminaries.2. Fractional Integrals and Fractional Derivatives.3. Ordinary Fractional Differential Equations. Existence and Uniqueness Theorems.4. Methods for Explicitly solving Fractional Differential Equations.5. Integral Transform Methods for Explicit Solutions to Fractional Differential Equations.6. Partial Fractional Differential Equations.7. Sequential Linear Differential Equations of Fractional Order.8. Further Applications of Fractional Models.BibliographySubject Index
£134.10
Taylor & Francis Ltd Free Boundary Problems Involving Solids Theory and Applications 281 Chapman HallCRC Research Notes in Mathematics Series
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£116.22
Taylor & Francis Ltd NonClassical Elastic Solids 293 Chapman HallCRC Research Notes in Mathematics Series
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£163.80
Taylor & Francis Ltd Nonlinear Dynamics
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£82.64
Taylor & Francis Ltd Fractals and Chaos An illustrated course
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£68.39
Taylor & Francis Ltd Mathematical Modelling with Differential
Book SynopsisMathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a toy universe, discusses why alternate futures exists in classical physics, constructs approximate solutions to the famous ThomasFermi equation using only algebra and elementary calculus, and examines the importance of truly nonlinear and oscillating systems. Features Introduces, defines, and illustrates the concept of dynamic consistency as the foundation of modelling. Can be uTable of Contents0. Preliminaries. 0.1. Introduction. 0.2. Mathematical Modeling. 0.3. Elementary Modeling Examples. 0.4. What is Science? 0.5. Scaling of Variables. 0.6. Dominant Balance and Approximations. 0.7. Use of Handbooks. 0.8. The Use OF Wikipedia. 0.9. Discussion. 0.10. Notes and References. 1. What is the √N? 1.1. Introduction. 1.2. Interative Guessing. 1.3. Series Expansion Method. 1.4. Newton Method Algorithm. 1.5. Discussion. Problems. Notes and References. 2. Damping/Dissipative Forces. 2.1. Introduction. 2.2. Properties of DDF Functions. 2.3. Dimensional Analysis and DDF Functions. 2.4. One Term Power-law DDF Functions. 2.5. Two Term Power-law DDF Functions. 2.6. Discussion. Problems. Notes and References. 3. The Thomas—Fermi Equation. 3.1. Introduction. 3.2. Exact Results. 3.3. Dynamic Consistency. 3.4. Two Rational Approximations. 3.5. Discussion. Problems. Notes and References. 4. Single Population Growth Models. 4.1. Introduction. 4.2. Logistic Equation. 4.3. Gompertz Model. 4.4. Non-logistic Models. 4.5. Allee Effect. 4.6. Discussion. Problems. Notes and References. 5. 1 + 2 + 3 + 4 + 5 + . . . = −(1/2). 5.1. Introduction. 5.2. Preliminaries. 5.3. Numerical Values of Divergent Series. 5.4. Elementary Function Defined by an Integral. 5.5. Gamma Function. 5.6. Riemann Zeta Function. 5.7. Discussion. Problems. Notes and References. 6. A Truly Nonlinear Oscillator. 6.1. Introduction. 6.2. General Properties of Exact Solutions. 6.3. Approximate Solutions. 6.4. Summary. Problems. Notes and References. 7. Discretization of Differential Equations. 7.1. Introduction. 7.2. Exact Schemes. 7.3. NSFD Methodology. 7.4. NSFD Schemes for One’s. 7.5. Partial Differential Equation Applications. 7.6. Discussion. Problems. Notes and References. 8. SIR Models for Disease Spread. 8.1. Introduction. 8.2. SIR Methodology. 8.3. Standard SIR Model. 8.4. Flattening the Curve. 8.5. Solveable SIR Model. 8.6. Résumé. Problems. Notes and References. 9. Dieting Model. 9.1 Introduction. 9.2. Mathematical Model. 9.3. Analysis of a Model. 9.4. Approximate Solutions. 9.5. Discussion. Problems. Notes and References. 10. Alternate Futures. 10.1. Introduction. 10.2. Two Systems Exhibiting Alternative Futures. 10.3. Résumé of Concepts and Definitions. 10.4. Counterfactual Histories. 10.5. Summary and Discussion. Problems. Notes and References. 11. Toy Model of the Universe.11.1 Introduction. 11.2. In the Beginning: Let There Be Rules. 11.3. Some "Dull" Model Universes. 11.4. Nontrivial TMOU. 11.5. Fibonacci Equation. 11.6. Discussion. Problems. Notes and References. 12. Diffusion and Heat Equations. 12.1. Introduction. 12.2. Heat Equation Derivation. 12.3. Diffusion Equation and Random Walks. 12.4. Diffusion and Probability. 12.5. Derivation Difficulties. 12.6. Heated Rod Problem. 12.7. Comments. Problems. Notes and References. Appendix A. Algebraic Relations. B. Trigonometric Relations. C. Hyperbolic Functions. D. Relations from Calculus. E. Fourier Series. F. Even and Odd Functions. G. Some Nonstandard but Important Functions. H. Differential Equations. I. Linearization of Certain Types of Nonlinear Differential Equations. Bibliography. Index.
£80.74
Taylor & Francis Ltd Differential Equations
Book SynopsisThis new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a driving force behind much of mathematics.This text text presents a more balanced picture. The text covers differential equations (both ordinary and partial), Fourier analysis and applications in equal measure and with equal weight. The Riemann integral is used throughout. We do not assume that the student knows any functional analysis. We likewise do not assume that the student has had a course in undergraduate real analysis. To make the book timely and exciting, a substantial chapter on basic properties of wavelets, with applications to signal processing and image processing is included. This should give students and instructors alike a taste of what is happening in the subject today.Table of ContentsPreface for the Instructor xv Preface for the Student xvii 1 What Is a Differential Equation? 1 1.1 Introductory Remarks 1 1.2 A Taste of Ordinary Differential Equations 5 1.3 The Nature of Solutions 7 1.4 Separable Equations 15 1.5 First-Order, Linear Equations 18 1.6 Exact Equations 24 1.7 Orthogonal Trajectories and Curves 30 1.8 Homogeneous Equations 36 1.9 Integrating Factors 41 1.10 Reduction of Order 46 1.10.1 Dependent Variable Missing 46 1.10.2 Independent Variable Missing 48 1.11 The Hanging Chain and Pursuit Curves 52 1.11.1 The Hanging Chain 52 1.11.2 Pursuit Curves 57 1.12 Electrical Circuits 62 1.13 The Design of a Dialysis Machine 67 Problems for Review and Discovery 72 2 Second-Order Linear Equations 77 2.1 Second-Order Linear Equations with Constant Coefficients 77 2.2 The Method of Undetermined Coefficients 85 ix 2.3 The Method of Variation of Parameters 90 2.4 The Use of a Known Solution to Find Another 95 2.5 Vibrations and Oscillations 100 2.5.1 Undamped Simple Harmonic Motion 100 2.5.2 Damped Vibrations 102 2.5.3 Forced Vibrations 106 2.5.4 A Few Remarks About Electricity 109 2.6 Newton’s Law of Gravitation and Kepler’s Laws 112 2.6.1 Kepler’s Second Law 116 2.6.2 Kepler’s First Law 118 2.6.3 Kepler’s Third Law 121 2.7 Higher-Order Equations 128 Historical Note 135 2.8 Bessel Functions and the Vibrating Membrane 136 Problems for Review and Discovery 142 3 Power Series Solutions and Special Functions 145 3.1 Introduction and Review of Power Series 145 3.1.1 Review of Power Series 146 3.2 Series Solutions of First-Order Equations 157 3.3 Ordinary Points 163 3.4 Regular Singular Points 173 3.5 More on Regular Singular Points 180 Historical Note 190 Historical Note 192 3.6 Steady State Temperature in a Ball 193 Problems for Review and Discovery 196 4 Sturm–Liouville Problems and Boundary Value Problems 199 4.1 What is a Sturm–Liouville Problem? 199 4.2 Analyzing a Sturm–Liouville Problem 206 4.3 Applications of the Sturm–Liouville Theory 213 4.4 Singular Sturm–Liouville 220 4.5 Some Ideas from Quantum Mechanics 227 Problems for Review and Discovery 231 5 Numerical Methods 235 5.1 Introductory Remarks 236 5.2 The Method of Euler 238 5.3 The Error Term 242 5.4 An Improved Euler Method 246 5.5 The Runge–Kutta Method 252 5.6 A Constant Perturbation Method 256 Problems for Review and Discovery 260 6 Fourier Series: Basic Concepts 265 6.1 Fourier Coefficients 265 6.2 Some Remarks about Convergence 275 6.3 Even and Odd Functions: Cosine and Sine Series 282 6.4 Fourier Series on Arbitrary Intervals 289 6.5 Orthogonal Functions 293 Historical Note 299 6.6 Introduction to the Fourier Transform 300 6.6.1 Convolution and Fourier Inversion 309 6.6.2 The Inverse Fourier Transform 309 Problems for Review and Discovery 312 7 Laplace Transforms 317 7.0 Introduction 317 7.1 Applications to Differential Equations 321 7.2 Derivatives and Integrals 327 7.3 Convolutions 334 7.3.1 Abel’s Mechanics Problem 337 7.4 The Unit Step and Impulse Functions 342 Historical Note 352 7.5 Flow on an Impulsively Started Flat Plate 353 Problems for Review and Discovery 356 8 Distributions 363 8.1 Schwartz Distributions 363 Problems for Review and Discovery 371 9 Wavelets 373 9.1 Localization in the Time and Space Variables 373 9.2 Building a Custom Fourier Analysis 376 9.3 The Haar Basis 379 9.4 Some Illustrative Examples 384 9.5 Construction of a Wavelet Basis 394 9.5.1 A Combinatorial Construction of the Daubechies Wavelets398 9.5.2 The Daubechies Wavelets from the Point of View of Fourier Analysis 399 9.5.3 Wavelets as an Unconditional Basis 402 9.5.4 Wavelets and Almost Diagonalizability 403 9.6 The Wavelet Transform 406 9.7 More on the Wavelet Transform 423 9.8 Decomposition and its Obverse 429 9.9 Some Applications 435 9.10 Cumulative Energy and Entropy 445 Problems for Review and Discovery 451 10 Partial Differential Equations and Boundary Value Problems455 10.1 Introduction and Historical Remarks 455 10.2 Eigenvalues and the Vibrating String 460 10.2.1 Boundary Value Problems 460 10.2.2 Derivation of the Wave Equation 461 10.2.3 Solution of the Wave Equation 463 10.3 The Heat Equation 469 10.4 The Dirichlet Problem for a Disc 478 10.4.1 The Poisson Integral 481 Historical Note 488 Historical Note 489 Problems for Review and Discovery 491 Table of Notation 495 Glossary 501 Solutions to Selected Exercises 527 Bibliography 527 Index 530
£43.99
Taylor & Francis Ltd Topological Methods for Differential Equations
Book SynopsisTopological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis. Table of ContentsIntroduction. 1 Background in Multi-valued Analysis. 2 Hausdor□-Pompeiu Metric Topology. 3 Measurable Multifunctions. Measurable selection. 4 Continuous Selection Theorems. 5 Linear Multivalued Operators. 6 Fixed Point Theorems. 7 Generalized Metric and Banach Spaces. 8 Fixed Point Theorems in Vector Metric and Banach Spaces. 9 Random □xed point theorem. 10 Semigroups. 11 Systems of Impulsive Di□erential Equations on the Half-line. 12 Di□erential Inclusions. 13 Random Systems of Di□erential Equations. 14 Random Fractional Di□erential Equations via Hadamard Fractional Derivatives. 15 Existence Theory for Systems of Discrete Equations. 16 Discrete Inclusions. 17 Semilinear System of Discrete Equations. 18 Discrete Boundary Value Problems. 19 Appendix.
£147.25
Taylor & Francis Ltd Advanced Problem Solving Using Maple
Book SynopsisAdvanced Problem Solving Using Maple: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process.The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods. Additional coverage includes multivariable unconstrained and constrained techniques. Linear algebra techniques to model and solve problems such as the Leontief model, and advanced regression techniques including nonlinear, logistics, and Poisson are covered. Game theory, the Nash equilibrium, and Nash arbitration are also included.Features: The text's case studies and student projects involve students with real-world problem soTable of ContentsIntroduction to Problem Solving and Maple. Discrete Dynamical Systems. Single Variable Unconstrained and Constrained Optimization. Multi- Variable Unconstrained and Constrained Optimization. Linear Systems. Advanced Model Fitting.
£80.74
Taylor & Francis Ltd An Illustrative Introduction to Modern Analysis
Book SynopsisAimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis.The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.Table of ContentsSets, mappings, countability and choice. Metric spaces and normed spaces. Completeness and applications. Topological spaces and continuity. Compactness and sequential compactness. The Lebesgue measure on the Euclidean space. Measure theory on general spaces. The Lebesgue integration theory. The class of Lebesgue functional spaces. Inner product spaces and Hilbert spaces. Linear operators on normed spaces. Weak topologies on Banach spaces. Weak* topologies and compactness. Functional properties of the Lebesgue spaces. Solutions to the exercises.
£105.00
Cambridge University Press Finite Volume Methods for Hyperbolic Problems
Book SynopsisThis book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.Trade Review'It is moreover advantageous that the algorithms presented are public and easily available via the web-page cited. Similar to the book of R. J. LeVeque titled Numerical Methods for Conservation Laws, this manuscript will certainly become a part of the standard literature in the field of numerical methods for hyperbolic partial differential equations.' Journal of Applied Mathematics and Physics'The text is very well written and can serve for self-study as well as an accompanying text book for teaching purposes … a very sound and comprehensive introduction into hyperbolic problems and their numerical treatment.' Zentralblatt MATHTable of ContentsPreface; 1. Introduction; 2. Conservation laws and differential equations; 3. Characteristics and Riemann problems for linear hyperbolic equations; 4. Finite-volume methods; 5. Introduction to the CLAWPACK software; 6. High resolution methods; 7. Boundary conditions and ghost cells; 8. Convergence, accuracy, and stability; 9. Variable-coefficient linear equations; 10. Other approaches to high resolution; 11. Nonlinear scalar conservation laws; 12. Finite-volume methods for nonlinear scalar conservation laws; 13. Nonlinear systems of conservation laws; 14. Gas dynamics and the Euler equations; 15. Finite-volume methods for nonlinear systems; 16. Some nonclassical hyperbolic problems; 17. Source terms and balance laws; 18. Multidimensional hyperbolic problems; 19. Multidimensional numerical methods; 20. Multidimensional scalar equations; 21. Multidimensional systems; 22. Elastic waves; 23. Finite-volume methods on quadrilateral grids; Bibliography; Index.
£66.49
Cambridge University Press Positive Harmonic Functions 45 Cambridge Studies in Advanced Mathematics Series Number 45
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£73.30
Cambridge University Press Boundary Value Problems
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£49.39
Cambridge University Press The OneDimensional Heat Equation 23 Encyclopedia of Mathematics and its Applications Series Number 23
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£74.97
Cambridge University Press Differential Analysis Differentiation Differential Equations and Differential Inequalities
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£47.49
Cambridge University Press Normal Forms and Bifurcation of Planar Vector Fields
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£49.39
Cambridge University Press Nonlinear Markov Processes and Kinetic Equations
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£70.29
Cambridge University Press Ellipsoidal Harmonics Theory and Applications 146 Encyclopedia of Mathematics and its Applications Series Number 146
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£133.95
Cambridge University Press Geometry from a Differentiable Viewpoint Second Edition
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£73.14
Cambridge University Press Geometry from a Differentiable Viewpoint
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£42.74
Cambridge University Press Linear Partial Differential Equations and Fourier Theory
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£48.44
Cambridge University Press Dynamical Systems and Semisimple Groups An Introduction 126 Cambridge Tracts in Mathematics Series Number 126
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£48.44
Cambridge University Press Control Theory for Partial Differential Equations Continuous and Approximation Theories 74 Encyclopedia of Mathematics and its Applications Series Number 74
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£69.17
Cambridge University Press Control Theory for Partial Differential Equations Continuous and Approximation Theories 75 Encyclopedia of Mathematics and its Applications Series Number 75
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Cambridge University Press Inside Out Inverse Problems and Applications 47 Mathematical Sciences Research Institute Publications Series Number 47
Book SynopsisInverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. There have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.Trade ReviewReview of the hardback: 'It's a perfect introduction for students who want to learn the basic techniques with mathematical rigor and in a mathematical language … the book is admirably clear and does a good job in motivating the reader … It's safe to say that Uhlmann's book is a fingerpost in mathematical imaging for some time to come.' Bulletin of the American Mathematical SocietyReview of the hardback: 'This collection will undoubtedly be very useful both to the researchers in the field and postgraduate students.' European Mathematical Society NewsletterReview of the hardback: 'This collection will be undoubtedly very useful to the researchers in the filed and postgraduate students as well.' EMS NerwsletterTable of ContentsPreface; 1. Introduction to the mathematics of computed tomography Adel Faridani; 2. The attenuated X-ray transform: recent developments David V. Finch; 3. Inverse acoustic and electromagnetic scattering theory David Colton; 4. Inverse problems in transport theory Plamen Stefanov; 5. Near-field tomography P. Scott Carney and John C. Schotland; 6. Inverse problems for time harmonic electrodynamics Petri Ola, Lassi Päivärinta and Erkki Somersalo; 7. Microlocal analysis of the X-ray transform with sources on a curve David Finch, Ih-Ren Lan and Gunther Uhlmann; 8. Microlocal analysis of seismic inverse scattering Maarten V. de Hoop; 9. Sojourn times, singularities of the scattering kernel and inverse problems Vesselin Petkov and Luchezar Stoyanov; 10. Geometry and analysis in many-body scattering András Vasy; 11. A mathematical and deterministic analysis of the time-reversal mirror Claude Bardos.
£39.89
Cambridge University Press The Levy Laplacian 166 Cambridge Tracts in Mathematics Series Number 166
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Cambridge University Press Differential Equations for Engineers
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Cambridge University Press LMS 53 Singularity Theory London Mathematical Society Lecture Note Series Series Number 53
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£61.71
Cambridge University Press The OneDimensional Heat Equation
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Cambridge University Press An Introduction to Dynamical Systems
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£69.34
Cambridge University Press Introduction to the Modern Theory of Dynamical Systems 54 Encyclopedia of Mathematics and its Applications Series Number 54
Book SynopsisThis book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levTrade Review' … there is no other treatment coming close in terms of comprehensiveness and readability … it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.' Monatshefte für Mathematik'… contains detailed discussion … presents many recent results … The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement MathématiqueTable of ContentsPart I. Examples and Fundamental Concepts; Introduction; 1. First examples; 2. Equivalence, classification, and invariants; 3. Principle classes of asymptotic invariants; 4. Statistical behavior of the orbits and introduction to ergodic theory; 5. Smooth invariant measures and more examples; Part II. Local Analysis and Orbit Growth; 6. Local hyperbolic theory and its applications; 7. Transversality and genericity; 8. Orbit growth arising from topology; 9. Variational aspects of dynamics; Part III. Low-Dimensional Phenomena; 10. Introduction: What is low dimensional dynamics; 11. Homeomorphisms of the circle; 12. Circle diffeomorphisms; 13. Twist maps; 14. Flows on surfaces and related dynamical systems; 15. Continuous maps of the interval; 16. Smooth maps of the interval; Part IV. Hyperbolic Dynamical Systems; 17. Survey of examples; 18. Topological properties of hyperbolic sets; 19. Metric structure of hyperbolic sets; 20. Equilibrium states and smooth invariant measures; Part V. Sopplement and Appendix; 21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
£120.65
Cambridge University Press Differential Equations
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£42.74
Cambridge University Press Normal Forms and Bifurcation of Planar Vector Fields
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£128.25
Cambridge University Press LMS 149 Solitons Nonlinear Evoltn London Mathematical Society Lecture Note Series Series Number 149
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£118.75
Cambridge University Press Symplectic Techniques in Physics
Book SynopsisSymplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. From a different approach, this subject is of interest to both mathematicians and physicists.Trade Review"This book is brilliant and fascinating and is probably one of the most important additions in recent years to the mathematical physics literature." Contemporary PhysicsTable of ContentsPreface; 1. Introduction; 2. The geometry of the moment map; 3. Motion in a Yang-Mills field and the principle of general covariance; 4. Complete integrability; 5. Contractions of symplectic homogeneous spaces; References; Index.
£53.43
Cambridge University Press Wavelets CaldernZygmund and Multilinear Operators 48 Cambridge Studies in Advanced Mathematics Series Number 48
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£159.30
Cambridge University Press Asymptotic Behaviour of Solutions of Evolutionary Equations
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£88.19
Cambridge University Press Asymptotic Behaviour of Solutions
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Cambridge University Press Stability Instability and Chaos An Introduction to the Theory of Nonlinear Differential Equations 11 Cambridge Texts in Applied Mathematics Series Number 11
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Cambridge University Press Boundary Value Problems for Elliptic Systems
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Cambridge University Press Control Theory for Partial Differential Equations Volume 1 Abstract Parabolic Systems Continuous and Approximation Theories Encyclopedia of Mathematics and its Applications Series Number 74
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Cambridge University Press Conformal Fractals Ergodic Theory Methods 371 London Mathematical Society Lecture Note Series Series Number 371
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Cambridge University Press Modelling with Differential and Difference Equations 10 Australian Mathematical Society Lecture Series Series Number 10
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Cambridge University Press Modelling Differentl Difference Equ 10 Australian Mathematical Society Lecture Series Series Number 10
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Cambridge University Press Chaos Dynamics and Fractals
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£48.44
