Differential calculus and equations Books
Cambridge University Press Topics in Dynamics and Ergodic Theory
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£63.51
Cambridge University Press Thinking about Ordinary Differential Equations
Thinking about Ordinary Differential Equations | BookCurl
£101.00
Cambridge University Press Thinking about Ordinary Differential Equations
Thinking about Ordinary Differential Equations | BookCurl
£41.79
Cambridge University Press Solitons
Book SynopsisThis 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems.Trade Review' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMSTable of ContentsPreface; 1. The KdV equation and its symmetries; 2. The KdV hierarchy; 3. The Hirota equation and vertex operators; 4. The calculus of Fermions; 5. The Boson–Fermion correspondence; 6. Transformation groups and tau functions; 7. The transformation group of the KdV equation; 8. Finite dimensional Grassmannians and Plücker relations; 9. Infinite dimensional Grassmannians; 10. The bilinear identity revisited; Solutions to exercises; Bibliography; Index.
£74.99
Cambridge University Press Computational Differential Equations
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£69.99
Cambridge University Press Harmonic Maps Loop Groups and Integrable Systems 38 London Mathematical Society Student Texts Series Number 38
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£106.00
Cambridge University Press Systems of Conservation Laws 1
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£144.00
Cambridge University Press Control Theory for Partial Differential Equations Volume 2 Abstract Hyperboliclike Systems over a Finite Time Horizon
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£141.00
Cambridge University Press LMSST 38 Harmonic Maps Loop Group London Mathematical Society Student Texts Series Number 38
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£53.19
Cambridge University Press LMS 255 Symmetries Integrability London Mathematical Society Lecture Note Series Series Number 255
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£63.51
Cambridge University Press Stochastic Flows and Stochastic Differential Equations 24 Cambridge Studies in Advanced Mathematics Series Number 24
Book SynopsisThe main purpose of this book is to give a systematic treatment of the theory of stochastic differential equations and stochastic flow of diffeomorphisms, and through the former to study the properties of stochastic flows. The classical theory was initiated by K. Ità and since then has been much developed. Professor Kunita's approach here is to regard the stochastic differential equation as a dynamical system driven by a random vector field, including thereby ItÃ's theory as a special case. The book can be used with advanced courses on probability theory or for self-study. The author begins with a discussion of Markov processes, martingales and Brownian motion, followed by a review of ItÃ's stochastic analysis. The next chapter deals with continuous semimartingales with spatial parameters, in order to study stochastic flow, and a generalisation of Ito's equation. Stochastic flows and their relation with this are generalised and considered in chapter 4. It is shown that solutions of a gTrade Review"The book could be used with advanced courses on probability theory or for self study." MTW, JASATable of Contents1. Stochastic processes and random fields; 2. Continuous semimartingales and stochastic integrals; 3. Semimartingales with spatial parameter and stochastic integrals; 4. Stochastic flows; 5. Convergence of stochastic flows; 6. Stochastic partial differential equations.
£74.99
Cambridge University Press Domain Decomposition
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£54.99
Cambridge University Press Asymptotic Expansions
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£47.04
Cambridge University Press InfiniteDimensional Dynamical Systems An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors 28 Cambridge Texts in Applied Mathematics Series Number 28
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£141.00
Cambridge University Press Systems of Conservation Laws 2
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£168.00
Cambridge University Press InfiniteDimensional Dynamical Systems
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£62.99
Cambridge University Press Dynamical Systems and Numerical Analysis
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£80.99
Cambridge University Press Holomorphic Dynamics 66 Cambridge Studies in Advanced Mathematics Series Number 66
Book SynopsisThis book, first published in 2000, emphasizes the substantial role played by classical complex analysis in understanding holomorphic dynamics and gives an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables, as well as the case of rational functions.Table of Contents1. The dynamics of polynomial maps; 2. Fatou and Julia sets; 3. Dynamics of entire functions; 4. Dynamics of rational functions; 5. Kleinian groups and Sullivan's dictionary; 6. The dynamics of holomorphic maps of sveral variables; 7. Dynamics of generalized Hénon maps; 8. Pluripotential theory of polynomial automorphisms; 9. Dynamics of polynomial automorphisms; Bibliography; Index.
£129.00
Cambridge University Press Strongly Elliptic Systems and Boundary Integral Equations
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£129.00
Cambridge University Press Strongly Elliptic Systems and Boundary Integral Equations
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£57.13
Cambridge University Press The NavierStokes Equations
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£63.51
Cambridge University Press Inequalities
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£54.99
Cambridge University Press Groups and Analysis The Legacy of Hermann Weyl 354 London Mathematical Society Lecture Note Series Series Number 354
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£83.57
Cambridge University Press Algebraic Theory of Differential Equations 357 London Mathematical Society Lecture Note Series Series Number 357
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£62.80
Cambridge University Press A First Course in the Numerical Analysis of Differential Equations 44 Cambridge Texts in Applied Mathematics Series Number 44
Book SynopsisNumerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; aTrade Review'A well written and exciting book … the exposition throughout is clear and very lively. The author's enthusiasm and wit are obvious on almost every page and I recommend the text very strongly indeed.' Proceedings of the Edinburgh Mathematical Society'This is a well-written, challenging introductory text that addresses the essential issues in the development of effective numerical schemes for the solution of differential equations: stability, convergence, and efficiency. The soft cover edition is a terrific buy - I highly recommend it.' Mathematics of Computation'This book can be highly recommended as a basis for courses in numerical analysis.' Zentralblatt fur Mathematik'The overall structure and the clarity of the exposition make this book an excellent introductory textbook for mathematics students. It seems also useful for engineers and scientists who have a practical knowledge of numerical methods and wish to acquire a better understanding of the subject.' Mathematical Reviews'… nicely crafted and full of interesting details.' ITW Nieuws'I believe this book succeeds. It provides an excellent introduction to the numerical analysis of differential equations . . .' Computing Reviews'As a mathematician who developed an interest in numerical analysis in the middle of his professional career, I thoroughly enjoyed reading this text. I wish this book had been available when I first began to take a serious interest in computation. The author's style is comfortable . . . This book would be my choice for a text to 'modernize' such courses and bring them closer to the current practice of applied mathematics.' American Journal of Physics'Iserles has successfully presented, in a mathematically honest way, all essential topics on numerical methods for differential equations, suitable for advanced undergraduate-level mathematics students.' Georgios Akrivis, University of Ioannina, Greece'The present book can, because of the extension even more than the first edition, be highly recommended for readers from all fields, including students and engineers.' Zentralblatt MATHTable of ContentsPreface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary Differential Equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge–Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson Equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial Differential Equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index.
£58.12
Cambridge University Press advancedmathematicsforapplications
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£69.96
Cambridge University Press Levy Processes and Stochastic Calculus 116 Cambridge Studies in Advanced Mathematics Series Number 116
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£80.99
Cambridge University Press Soliton Equations and their AlgebroGeometric Solutions Volume 1 11Dimensional Continuous Models Cambridge Studies in Advanced Mathematics Series Number 79
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£141.00
Cambridge University Press LMS 293 2nd Ord Pr Dif Equ Hilbert London Mathematical Society Lecture Note Series Series Number 293
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£69.96
Cambridge University Press Russian Literature Modernism and the Visual Arts Cambridge Studies in Russian Literature
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£59.93
Cambridge University Press Wavelets CaldernZygmund and Multilinear Operators 48 Cambridge Studies in Advanced Mathematics Series Number 48
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£75.99
Cambridge University Press Introduction to Dynamical Systems
Book SynopsisThis introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines.Trade Review'… an ideal choice for a graduate course on dynamical systems … warmly recommended …' Acta Scientiarum Mathematicarum'… exceptionally well written … You should consider adopting this wonderful text for your next graduate course on the pure mathematics of the modern theory of dynamical systems.' Carmen Chicone, SIAM Review'… despite the breadth, one finds here major results rigorously treated and substantial applications. By itself, the clean, accessible exposition of the amazing Sharkovsky theorem would justify the acquisition of this book … Highly recommended.' Choice'While the pace is fast and the book is very concise, the organization and selection of topics has been considered carefully, and the writing is strong enough to support the speedy treatment … It certainly does give a notion of the scope of dynamical systems in a way that few other single books do.' Bill Satzer, MAA ReviewsTable of ContentsIntroduction; 1. Examples and basic concepts; 2. Topological dynamics; 3. Symbolic dynamics; 4. Ergodic theory; 5. Hyperbolic dynamics; 6. Ergodicity of Anosov diffeomorphisms; 7. Low-dimensional dynamics; 8. Complex dynamics; 9. Measure-theoretic entropy; Bibliography; Index.
£62.99
Cambridge University Press Solving ODEs with MATLAB
Book SynopsisThis concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the code are discussed.Trade Review' … this is a readable, accessible text full of invaluable advice, illustrated using interesting examples and exercises … if you do have some background knowledge of numerical analysis, MATLAB, and are motivated by the application of numerical methods to real problems, you will find this book full of interest … the book acts as a useful introduction to several important, more general, issues in scientific computing.' The Mathematical GazetteTable of Contents1. Getting started; 2. Initial value problems; 3. Boundary value problems; 4. Delay differential equations.
£147.60
Cambridge University Press The ThreeBody Problem
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£93.99
Cambridge University Press Theory of Orbit Determination
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£89.99
Cambridge University Press Partial Differential Equations in Fluid Dynamics
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£71.25
Cambridge University Press Chaos and Coarse Graining in Statistical Mechanics
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£125.00
Cambridge University Press padic Differential Equations
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£64.99
Cambridge University Press An Elementary Course on Partial Differential Equations
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£58.12
Cambridge University Press Differential and LowDimensional Topology
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£32.42
Cambridge University Press Attractors for Semigroups and Evolution Equations
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£25.50
Cambridge University Press TimeVariant and Quasiseparable Systems
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£71.24
Cambridge University Press Encyclopedia of Special Functions The AskeyBateman Project Volume 2 Encyclopedia of Special Functions The AskeyBateman Project 3 Hardback Books
Book SynopsisThis is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.Trade Review'Overall the volume is a very useful addition to any research mathematician's library who works on these topics.' Manjil Pratim Saikia, zbMATHTable of Contents1. General overview of multivariable special functions Tom H. Koornwinder and Jasper V. Stokman; 2. Orthogonal polynomials of several variables Yuan Xu; 3. Appell and Lauricella hypergeometric functions Keiji Matsumoto; 4. A-Hypergeometric functions Nobuki Takayama; 5. Hypergeometric and basic hypergeometric series and integrals associated with root systems Michael J. Schlosser; 6. Elliptic hypergeometric functions associated with root systems Hjalmar Rosengren and S. Ole Warnaar; 7. Dunkl operators and related special functions Charles F. Dunkl; 8. Jacobi polynomials and hypergeometric functions associated with root systems Gert J. Heckman and Eric M. Opdam; 9. Macdonald–Koornwinder polynomials Jasper V. Stokman; 10. Combinatorial aspects of Macdonald and related polynomials Jim Haglund; 11. Knizhnik–Zamolodchikov type equations, Selberg integrals, and related special functions Vitaly Tarasov and Alexander Varchenko; 12. 9j-Coefficients and higher Joris Van der Jeugt; Index.
£66.99
Cambridge University Press The ThreeDimensional NavierStokes Equations Classical Theory 157 Cambridge Studies in Advanced Mathematics Series Number 157
Book SynopsisA rigorous but accessible introduction to the mathematical theory of the three-dimensional NavierâStokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time LerayâHopf weak solutions and the local existence of strong solutions; the conditional local regularity results of Serrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg. Appendices provide background material and proofs of some 'standard results' that are hard to find in the literature. A substantial number of exercises are included, with full solutions given at the end of the book. As the only introductory text on the topic to treat all of the mainstream results in detail, this book is an ideal text for a graduate course of one or two semesters. It is also a useful resource for anyone working in mathematical fluid dynamics.Trade Review'I loved this very well-written book and I highly recommend it.' Jean C. Cortissoz, Mathematical ReviewsTable of ContentsPart I. Weak and Strong Solutions: 1. Function spaces; 2. The Helmholtz–Weyl decomposition; 3. Weak formulation; 4. Existence of weak solutions; 5. The pressure; 6. Existence of strong solutions; 7. Regularity of strong solutions; 8. Epochs of regularity and Serrin's condition; 9. Robustness of regularity; 10. Local existence and uniqueness in H1/2; 11. Local existence and uniqueness in L3; Part II. Local and Partial Regularity: 12. Vorticity; 13. The Serrin condition for local regularity; 14. The local energy inequality; 15. Partial regularity I – dimB(S) ≤ 5/3; 16. Partial regularity II – dimH(S) ≤ 1; 17. Lagrangian trajectories; A. Functional analysis: miscellaneous results; B. Calderón–Zygmund Theory; C. Elliptic equations; D. Estimates for the heat equation; E. A measurable-selection theorem; Solutions to exercises; References; Index.
£67.99
Cambridge University Press Spectral Theory and its Applications
Book SynopsisBernard Helffer's introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The author's focus on applications enables readers to connect theory with practice.Trade Review"It is written in a way well suited for a graduate course." Pavel V. Exner, Mathematical ReviewsTable of Contents1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index.
£54.99
Cambridge University Press Lectures on Lyapunov Exponents Cambridge Studies in Advanced Mathematics
Book SynopsisThe theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.Table of ContentsPreface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.
£54.99
Cambridge University Press Partial Differential Equations for Probabilists 112 Cambridge Studies in Advanced Mathematics Series Number 112
Book SynopsisThis book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order, partial differential equations of parabolic and elliptic types. Many of the techniques have antecedents in probability theory, although the book also covers a few purely analytic techniques. In particular, a chapter is devoted to the De GiorgiâMoserâNash estimates, and the concluding chapter gives an introduction to the theory of pseudodifferential operators and their application to hypoellipticity, including the famous theorem of Lars Hormander.Trade Review'The book will capture your attention with elegant proofs presented in an almost perfectly self-contained manner, with abundant talk in a lecturer's tone by the author himself, but with a little bit of an aficionado's taste. The book, arranged idiosyncratically, has such a strong impact that, at the next moment, you may find yourself carried away in looking for mathematical treasures scattered here and there in each chapter. The reviewer recommends the present book with confidence to anyone who in interested in PDE and probability theory. At least you should always keep this at your side if you are a probabilist at all.' Isamu Doku, Mathematical ReviewsTable of Contents1. Kolmogorov's forward, basic results; 2. Non-elliptic regularity results; 3. Preliminary elliptic regularity results; 4. Nash theory; 5. Localization; 6. On a manifold; 7. Subelliptic estimates and Hörmander's theorem.
£41.32
Cambridge University Press Introduction to Finite Element Vibration Analysis
Book SynopsisAn introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling the response of structures to dynamic loads and is widely used in aeronautical, civil, and mechanical engineering as well as naval architecture.Trade Review"The contents of this work are very well organized, and Petyt (Univ. of Southhamption, UK) gradually introduces important concepts, making it a very useful theoretical reference." X. Le, Wentworth Institute of Technology"The contents of this work are very well organized ... a very useful theoretical reference. ...Recommended." CHOICETable of Contents1. Formulation of the equations of motion; 2. Element energy functions; 3. Introduction to the finite element displacement method; 4. In-plane vibration of plates; 5. Vibration of solids; 6. Flexural vibration of plates; 7. Vibration of stiffened plates and folded plate structures; 8. Vibration of shells; 9. Vibration of laminated plates and shells; 10. Hierarchical finite element method; 11. Analysis of free vibration; 12. Forced response; 13. Forced response II; 14. Computer analysis technique.
£56.16
