Calculus and mathematical analysis Books
Cambridge University Press Operational Calculus
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£39.89
Cambridge University Press An Introduction to Riemannian Geometry and the Tensor Calculus
Book SynopsisThe purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and the more advanced work on differential geometry of generalised space.Table of Contents1. Some Preliminaries; 2. Coordinates, Vectors , Tensors; 3. Riemannian Metric; 4. Christoffel's Three-Index Symbols. Covariant Differentiation; 5. Curvature of a Curve. Geodeics, Parallelism of Vectors; 6. Congruences and Orthogonal Ennuples; 7. Riemann Symbols. Curvature of a Riemannian Space; 8. Hypersurfaces; 9. Hypersurfaces in Euclidean Space. Spaces of Constant Curvature; 10. Subspaces of a Riemannian Space.
£37.37
Cambridge University Press Higher Calculus
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£39.89
Cambridge University Press Calculus
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£45.59
Cambridge University Press The Cauchy Problem 18 Encyclopedia of Mathematics and its Applications Series Number 18
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£94.01
Cambridge University Press Partial Differential Equations
Book SynopsisIn this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first orderTable of ContentsPreface; 1. Partial differential equations of the first order; 2. Characteristics of equations of the second order; 3. Boundary value and initial value problems; 4. Equations of hyperbolic type; 5. Reimann's method; 6. The equation of wave motions; 7. Marcel Riesz's method; 8. Potential theory in the plane; 9. Subharmonic functions and the problem of Dirichlet; 10. Equations of elliptic type in the plane; 11. Equations of elliptic type in space; 12. The equation of heat; Appendix; Books for further reading; Index.
£41.79
Cambridge University Press Holomorphic Spaces 33 Mathematical Sciences Research Institute Publications Series Number 33
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£45.98
Cambridge University Press The Logarithmic Integral
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£69.99
Cambridge University Press SingularPerturbation Theory
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£47.49
Cambridge University Press Birkhoff Interpolation 19 Encyclopedia of Mathematics and its Applications Series Number 19
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£45.59
Cambridge University Press Fixed Point Theory and Applications 141 Cambridge Tracts in Mathematics Series Number 141
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£42.74
Cambridge University Press Hyperbolic Boundary Value Problems
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£35.14
Cambridge University Press Exact Constants in Approximation Theory 38 Encyclopedia of Mathematics and its Applications Series Number 38
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£50.12
Cambridge University Press General Orthogonal Polynomials 43 Encyclopedia of Mathematics and its Applications Series Number 43
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£56.74
Cambridge University Press Pade Approximants 59 Encyclopedia of Mathematics and its Applications Series Number 59
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£103.94
Cambridge University Press Families of Exponentials
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£35.14
Cambridge University Press Random Graph Dynamics 20 Cambridge Series in Statistical and Probabilistic Mathematics Series Number 20
Book SynopsisThe theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to Trade Review'A very valuable addition to the growing field of random graphs, providing a systematic coverage of these novel models.' Michael Krivelevich, Mathematical Reviews'The book is written in a friendly, chatty style, making it easy to read; I very much like that. In summary, Random Graph Dynamics is a nice contribution to the area of random graphs and a source of valuable insights.' Malwina J. Luczak, Journal of the American Statistical AssociationTable of Contents1. Overview; 2. Erdos–Renyi random graphs; 3. Fixed degree distributions; 4. Power laws; 5. Small worlds; 6. Random walks; 7. CHKNS model.
£35.14
Cambridge University Press Derivation and Integration 140 Cambridge Tracts in Mathematics Series Number 140
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£37.99
Cambridge University Press An Introduction to Maximum Principles and Symmetry in Elliptic Problems
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£53.43
Cambridge University Press Symmetry and Separation of Variables 4 Encyclopedia of Mathematics and its Applications Series Number 4
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£52.60
Cambridge University Press Rational Approximation of Real Functions 28 Encyclopedia of Mathematics and its Applications Series Number 28
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£49.29
Cambridge University Press An Introduction to Random Matrices 118 Cambridge Studies in Advanced Mathematics Series Number 118
Book SynopsisThe theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences, who have mastered probability theory at the graduate level, but have not necessarily been exposed to advanced notions of functional analysis, algebra or geometry. Useful background material is collected in the appendices and exercises are also included throughout to test the reader's understanding. Enumerative techniques, stochastic analysis, large deviations, concentration inequalities, disintegration and Lie algebras all are introduced in the text, which will enable readers to approachTrade Review' … this is a very valuable new reference for the subject, incorporating many modern results and perspectives that are not present in earlier texts on this topic … this book would serve as an excellent foundation with which to begin studying other aspects of random matrix theory.' Terence Tao, Mathematical Reviews'… the book aims to introduce some of the modern techniques of random matrix theory in a comprehensive and rigorous way. It has a broad range of topics and most of them are fairly accessible. The focus is on introducing and explaining the main techniques, rather than obtaining the most general results. Additional references are given for the reader who wants to continue the study of a certain topic. The writing style is careful and the book is mostly self-contained with complete proofs. This is an excellent new contribution to random matrix theory.' Journal of Approximation TheoryTable of ContentsPreface; 1. Introduction; 2. Real and complex Wigner matrices; 3. Hermite polynomials, spacings, and limit distributions for the Gaussian ensembles; 4. Some generalities; 5. Free probability; Appendices; Bibliography; General conventions; Glossary; Index.
£63.64
Cambridge University Press Special Functions A Graduate Text 126 Cambridge Studies in Advanced Mathematics Series Number 126
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£44.64
Cambridge University Press LMS 85 Solitons London Mathematical Society Lecture Note Series Series Number 85
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£47.63
Cambridge University Press LMS 60 Integrable Systems London Mathematical Society Lecture Note Series Series Number 60
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£61.71
Cambridge University Press Mathematical Analysis
Book SynopsisFor the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points.Table of ContentsPreface to the first edition; Preface to the second edition; 1. Real numbers; 2. Continuum property; 3. Natural numbers; 4. Convergent sequences; 5. Subsequences; 6. Series; 7. Functions; 8. Limits of functions; 9. Continuity; 10. Differentiation; 11. Mean value theorems; 12. Monotone functions; 13. Integration; 14. Exponential and logarithm; 15. Power series; 16. Trigonometric functions; 17. The gamma function; 18. Vectors; 19. Vector derivatives; 20. Appendix; Solutions to exercises; Further problems; Suggested further reading; Notation; Index.
£57.94
Cambridge University Press A First Course in Mathematical Analysis
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£38.94
Cambridge University Press The Foundations of Analysis
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£45.59
Cambridge University Press Symmetry and Separation of Variables
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£105.45
Cambridge University Press Birkhoff Interpolation 19 Encyclopedia of Mathematics and its Applications Series Number 19
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£105.45
Cambridge University Press The Logarithmic Integral Volume 2 21 Cambridge Studies in Advanced Mathematics Series Number 21
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£151.05
Cambridge University Press LMS 114 Lectures on Bochner Riesz London Mathematical Society Lecture Note Series Series Number 114
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£53.99
Cambridge University Press LMS 105 Local Spectral Theory London Mathematical Society Lecture Note Series Series Number 105
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£47.63
Cambridge University Press LMS 100 Stopping Time Techniques London Mathematical Society Lecture Note Series Series Number 100
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£69.99
Cambridge University Press Rational Approximation of Real Functions 28 Encyclopedia of Mathematics and its Applications Series Number 28
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£122.55
Cambridge University Press The Geometry of Fractal Sets 85 Cambridge Tracts in Mathematics Series Number 85
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£47.49
Cambridge University Press An Introduction to Hilbert Space
Book SynopsisThis textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained.Trade Review' … the author's style is a delight. Each topic is carefully motivated and succinctly presented, and the exposition is enthusiastic and limpid … Young has done a really fine job in presenting a subject of great mathematical elegance as well as genuine utility, and I recommend it heartily.' The Times Higher Education SupplementTable of ContentsForeword; Introduction; 1. Inner product spaces; 2. Normed spaces; 3. Hilbert and Banach spaces; 4. Orthogonal expansions; 5. Classical Fourier series; 6. Dual spaces; 7. Linear operators; 8. Compact operators; 9. Sturm-Liouville systems; 10. Green's functions; 11. Eigenfunction expansions; 12. Positive operators and contractions; 13. Hardy spaces; 14. Interlude: complex analysis and operators in engineering; 15. Approximation by analytic functions; 16. Approximation by meromorphic functions; Appendix; References; Answers to selected problems; Afterword; Index of notation; Subject index.
£52.24
Cambridge University Press Clifford Algebras and Dirac Operators in Harmonic Analysis 26 Cambridge Studies in Advanced Mathematics Series Number 26
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£133.95
Cambridge University Press LMS 122 Non Classical Continuum Proceedings of the London Mathematical Society Symposium Durham July 1986 London Mathematical Society Lecture Note Series Series Number 122
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£69.99
Cambridge University Press Analysis and Geometry on Groups 100 Cambridge Tracts in Mathematics Series Number 100
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£105.45
Cambridge University Press Inequalities Cambridge Mathematical Library
Book SynopsisThis classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.Trade Review'In retrospect one sees that 'Hardy, Littlewood and Pólya' has been one of the most important books in analysis in the last few decades. It had an impact on the trend of research and is still influencing it. In looking through the book now one realises how little one would like to change the existing text.' A. Zygmund, Bulletin of the AMSTable of Contents1. Introduction; 2. Elementary mean values; 3. Mean values with an arbitrary function and the theory of convex functions; 4. Various applications of the calculus; 5. Infinite series; 6. Integrals; 7. Some applications of the calculus of variations; 8. Some theorems concerning bilinear and multilinear forms; 9. Hilbert's inequality and its analogues and extensions; 10. Rearrangements; Appendices; Bibliography.
£73.14
Cambridge University Press The Theory and Applications of Harmonic Integrals
Book SynopsisFirst published in 1941, this book, by one of the foremost geometers of his day, rapidly became a classic. In its original form the book constituted a section of Hodge's essay for which the Adam's prize of 1936 was awarded, but the author substantially revised and rewrote it.Table of Contents1. Reimannian Manifolds; 2. Integrals and their periods; 3. Harmonic Integrals; 4. Applications to algebraic varieties; 5. Applications to the theory of continuous groups.
£41.79
Cambridge University Press The Fourier Integral and Certain of its Applications Cambridge Mathematical Library
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£35.14
Cambridge University Press Introduction to the Analysis of Metric Spaces 03 Australian Mathematical Society Lecture Series Series Number 3
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£42.74
Cambridge University Press Analysis at Urbana Analysis in Abstract Spaces London Mathematical Society Lecture Note Series Series Number 138
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£65.86
Cambridge University Press LMS 140 Geometric Aspects Banach Essays in Honour of Antonio Plans London Mathematical Society Lecture Note Series Series Number 140
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£55.09
Cambridge University Press Perturbation Methods 6 Cambridge Texts in Applied Mathematics Series Number 6
Book SynopsisA textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.Trade Review'A nice and readable introduction.' Monatshefte für MathematikTable of ContentsPreface; 1. Algebraic equations; 2. Asymptotic expansions; 3. Integrals; 4. Regular problems in PDEs; 5. Matched asymptotic expansions; 6. Method of strained coordinates; 7. Method of multiple scales; 8. Improved convergence; Bibliography; Index.
£38.94
Cambridge University Press Regular Variation 27 Encyclopedia of Mathematics and its Applications Series Number 27
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£88.21