Calculus and mathematical analysis Books
Cambridge University Press Exact Constants in Approximation Theory 38 Encyclopedia of Mathematics and its Applications Series Number 38
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£133.95
Cambridge University Press Yet Another Introduction to Analysis
Book SynopsisMathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus at school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate the new ideas are related to school topics and are used to extend the reader's understanding of those topics. A first course in analysis at colleTrade Review"Bryant's style is extremely leisurely, copiously illustrated, often intuitively appealing, chatty and unintimidating, in contrast to other treatments of similar material..." ChoiceTable of ContentsPreface; 1. Firm foundations; 2. Gradually getting there; 3. A functional approach; 4. Calculus at last!; 5. An integrated conclusion; Solutions to exercises; Index.
£43.69
Cambridge University Press Ergodic Theory 02 Cambridge Studies in Advanced Mathematics Series Number 2
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£62.69
Cambridge University Press Complex Polynomials 75 Cambridge Studies in Advanced Mathematics Series Number 75
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£133.95
Cambridge University Press Infinite Electrical Networks
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£99.90
Cambridge University Press Nonlinear Systems 10 Cambridge Texts in Applied Mathematics Series Number 10
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£56.99
Cambridge University Press geometryofbanachspaces
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£55.09
Cambridge University Press General Orthogonal Polynomials 43 Encyclopedia of Mathematics and its Applications Series Number 43
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£105.45
Cambridge University Press Hilbert Space Compact Operators and the Trace Theorem 27 London Mathematical Society Student Texts Series Number 27
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£127.30
Cambridge University Press Hilbert Space Compact Operators and the Trace Theorem 27 London Mathematical Society Student Texts Series Number 27
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£37.37
Cambridge University Press Elementary Theory of Lfunctions and Eisenstein Series 26 London Mathematical Society Student Texts Series Number 26
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£133.95
Cambridge University Press Elementary Theory of Lfunctions and Eisenstein Series 26 London Mathematical Society Student Texts Series Number 26
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£71.24
Cambridge University Press Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds 180 London Mathematical Society Lecture Note Series Series Number 180
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£50.95
Cambridge University Press Duality and Perturbation Methods in Critical Point Theory 107 Cambridge Tracts in Mathematics Series Number 107
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£105.45
Cambridge University Press LMS 183 Shintani Zeta Functions London Mathematical Society Lecture Note Series Series Number 183
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£69.99
Cambridge University Press Microlocal Analysis for Differential Operators An Introduction 196 London Mathematical Society Lecture Note Series Series Number 196
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£51.99
Cambridge University Press Pad Approximants 59 Encyclopedia of Mathematics and its Applications Series Number 59
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£175.75
Cambridge University Press Families of Exponentials
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£105.45
Cambridge University Press Some Random Series Functions 2ed 5 Cambridge Studies in Advanced Mathematics Series Number 5
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£66.49
Cambridge University Press The Laplacian on a Riemannian Manifold
Book SynopsisThis text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning.Trade Review"The book is well written.... This book provides a very readable introduction to heat kernal methods and it can be strongly recommended for graduate students of mathematics looking for a thorough introduction to the topic." Friedbert PrÜfer, Mathematical ReviewsTable of ContentsIntroduction; 1. The Laplacian on a Riemannian manifold; 2. Elements of differential geometry; 3. The construction of the heat kernel; 4. The heat equation approach to the Atiyah-Singer index theorem; 5. Zeta functions of Laplacians; Bibliography; Index.
£105.45
Cambridge University Press Differential Forms and Connections
Book SynopsisThis 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.Trade Review"...Darling's exegesis is clear and easy to understand, and his frequent use of examples is beneficial to the reader. There are many exercises that serve to reinforce the concepts." D.P. Turner, Choice"...easy on the eyes; some nice exercises..." American Mathematical Monthly"The exposition is clear and, in the American textbook style, has many exercises, both theoretical and computational. In summary, this text provides a worthwhile elementary introduction to anyone who wants to understand the basic mathematical ingredients of Differential Geometry and its interactions with Physics." F.E. Burstall, Contemporary Physics"...a good introduction to differential geometry and its applications to physics by using the calculus of differential forms...Nearly 200 exercises and many examples will help the reader's understanding...this book can be recommended as a good textbook for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering." Akira Asada, Mathematical ReviewsTable of ContentsPreface; 1. Exterior algebra; 2. Exterior calculus on Euclidean space; 3. Submanifolds of Euclidean spaces; 4. Surface theory using moving frames; 5. Differential manifolds; 6. Vector bundles; 7. Frame fields, forms and metrics; 8. Integration on oriented manifolds; 9. Connections on vector bundles; 10. Applications to gauge field theory; Bibliography; Index.
£42.74
Cambridge University Press LMSST 31 Laplacian on Riemannian An Introduction to Analysis on Manifolds London Mathematical Society Student Texts Series Number 31
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£47.49
Cambridge University Press Harmonic Measure
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£151.05
Cambridge University Press Equivalence Invariants and Symmetry
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£100.70
Cambridge University Press Geometry of Constrained Dynamical Systems 3 Publications of the Newton Institute Series Number 3
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£118.75
Cambridge University Press A Treatise on the Theory of Bessel Functions Cambridge Mathematical Library
Book SynopsisThe late Professor G. N. Watson wrote his monumental 1995 treatise on the theory of Bessel functions with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables; and the second was the compilation of a collection of results of value to mathematicians and physicists, who encounter Bessel functions in the course of their researches. The completeness of his theoretical account, combined with the wide scope of the practical examples and the extensive numerical tables, have resulted in a book which is indispensable to pure and applied mathematicians, as well as to physicists.Trade Review'In Professor Watson's treatise, which is a monument of erudition and … clear exposition, we have a rigorous mathematical treatment of all types of Bessel functions.' L. M. Milne-Thomson, Nature'A veritable mine of information … indispensable to all those who have occasion to use Bessel functions.' S. Chandrasekhar, The Astrophysical JournalTable of Contents1. Bessel functions before 1826; 2. The Bessel coefficients; 3. Bessel functions; 4. Differential equations; 5. Miscellaneous properties of Bessel functions; 6. Integral representations of Bessel functions; 7. Asymptotic expansions of Bessel functions; 8. Bessel functions of large order; 9. Polynomials associated with Bessel functions; 10. Functions associated with Bessel functions; 11. Addition theorems; 12. Definite integrals; 13. Infinitive integrals; 14. Multiple integrals; 15. The zeros of Bessel functions; 16. Neumann series and Lommel's functions of two variables; 17. Kapteyn series; 18. Series of Fourier–Bessel and Dini; 19. Schlömlich series; 20. The tabulation of Bessel functions; Tables of Bessel functions; Bibliography; Indices.
£68.39
Cambridge University Press Geometric Scattering Theory
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£82.64
Cambridge University Press Geometric Scattering Theory 1 Stanford Lectures Distinguished Visiting Lecturers in Mathematics Series Number 1
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£33.24
Cambridge University Press Analysis in Positive Characteristic 178 Cambridge Tracts in Mathematics Series Number 178
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£105.45
Cambridge University Press Representation Theorems in Hardy Spaces
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£105.45
Cambridge University Press A Course in Modern Analysis and its Applications
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£51.29
Cambridge University Press Topics in Dynamics and Ergodic Theory
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£61.71
Cambridge University Press Classical Mechanics An Undergraduate Text
Book SynopsisGregory's Classical Mechanics is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide ample practice for understanding and technique.Trade Review'The writing here is a picture of clarity and directness … The exercises include plenty of interesting and challenging problems … an attractive and well-written exposition of classical mechanics. I wish it had been my textbook when I was a student.' Mathematical Association of AmericaTable of ContentsPart I. Newtonian Mechanics of a Single Particle: 1. The algebra and calculus of vectors; 2. Velocity, acceleration and scalar angular velocity; 3. Newton's laws of motion and the law of gravitation; 4. Problems in particle dynamics; 5. Linear oscillations; 6. Energy conservation; 7. Orbits in a central field; 8. Non-linear oscillations and phase space; Part II. Multi-particle Systems: 9. The energy principle; 10. The linear momentum principle; 11. The angular momentum principle; Part III. Analytical mechanics: 12. Lagrange's equations and conservation principle; 13. The calculus of variations and Hamilton's principle; 14. Hamilton's equations and phase space; Part IV. Further Topics: 15. The general theory of small oscillations; 16. Vector angular velocity and rigid body kinematics; 17. Rotating reference frames; 18. Tensor algebra and the inertia tensor; 19. Problems in rigid body dynamics; Appendix: centres of mass and moments of inertia; Answers to the problems; Bibliography; Index.
£48.44
Cambridge University Press Elementary Probability
Book SynopsisNow available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.Trade Review'… this book is a superb resource of theory and application, which should be on every lecturer's shelves, and those of many students. You may never need to buy another book on probability.' Keith Hirst, The Mathematical Gazette'Excellent! A vast number of well-chosen worked examples and exercises guide the reader through the basic theory of probability at the elementary level … an excellent text which I am sure will give a lot of pleasure to students and teachers alike.' International Statistics Institute'… would make a fine addition to an undergraduate library. A student with a solid background in calculus, linear algebra, and set theory will find many useful tools of elementary probability here.' Phil Gilbert, The Mathematics Teacher'Stirzaker does an excellent job of developing problem-solving skills in an introductory probability text. Numerous examples and practice exercises are provided that only serve to enhance a student's problem solving abilities … Highly recommended.' D. J. Gougeon, Choice'The book would make an excellent text for the properly prepared class, a solid instructor's reference for both probability applications and problems, as well as a fine work for purposes of self-study.' J. Philip Smith, School Science and Mathematics'This book is a valuable resource for anyone teaching probability-and, accordingly, I am glad to have it.' The Journal of the Royal Statistical Society'The strong feature of the textbook is a choice of good examples … the book is suitable for a first university course in probability and very useful for self-study.' EMS Newsletter'As the first edition, the book is very well written, in a clear, detailed and readable style. It is accessible for undergraduate students and would make a good textbook for first courses on probability or for self-study.' Zentralblatt MATHTable of Contents1. Probability; 2. Conditional probability and independence; 3. Counting; 4. Random variables: distribution and expectation; 5. Random vectors: independence and dependence; 6. Generating functions and their applications; 7. Continuous random variables; 8. Jointly continuous random variables; 9. Markov chains; Appendix.
£47.49
Cambridge University Press Thermodynamic Formalism
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£65.54
Cambridge University Press The CauchySchwarz Master Class
Book SynopsisUsing the Cauchy-Schwarz inequality as a guide, this 2004 book presents a fascinating collection of problems related to inequalities and coaches readers through solutions. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book perfect for self-study or as a supplement to probability and analysis courses.Trade Review'This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.' Zentralblatt MATH'… pleaseant reading for everyone with a solid real analysis background at undergraduate level, even before reading Pólya-Szegö. In fact, even researchers working on topics close to those in this book can find much to add to their repertoire.' Tamás Erdélyi, Department of Mathematics, Texas A&M University'The book is special … A large mathematics department with a functional graduate program could easily consider to offer a course based on this book.' Tamas Erdelyi, Journal of Approximation TheoryTable of Contents1. Starting with Cauchy; 2. The AM-GM inequality; 3. Lagrange's identity and Minkowski's conjecture; 4. On geometry and sums of squares; 5. Consequences of order; 6. Convexity - the third pillar; 7. Integral intermezzo; 8. The ladder of power means; 9. Hölder's inequality; 10. Hilbert's inequality and compensating difficulties; 11. Hardy's inequality and the flop; 12. Symmetric sums; 13. Majorization and Schur convexity; 14. Cancellation and aggregation; Solutions to the exercises; Notes; References.
£37.99
Cambridge University Press Random Walks on Infinite Graphs and Groups
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£108.30
Cambridge University Press Lvy Processes and Infinitely Divisible Distributions 68 Cambridge Studies in Advanced Mathematics Series Number 68
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£128.25
Cambridge University Press A Mathematical Introduction to String Theory Variational Problems Geometric and Probabilistic Methods 225 London Mathematical Society Lecture Note Series Series Number 225
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£50.95
Cambridge University Press The Theory of Distributions
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£40.84
Cambridge University Press Function Spaces Entropy Numbers Differential Operators 120 Cambridge Tracts in Mathematics Series Number 120
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£105.45
Cambridge University Press Gaussian Hilbert Spaces
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£131.10
Cambridge University Press Spinning Tops
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£87.39
Cambridge University Press A Users Guide to Spectral Sequences 58 Cambridge Studies in Advanced Mathematics Series Number 58
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£111.15
Cambridge University Press Banach Spaces for Analysts 25 Cambridge Studies in Advanced Mathematics Series Number 25
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£47.49
Cambridge University Press A Users Guide to Spectral Sequences Second Edition 58 Cambridge Studies in Advanced Mathematics Series Number 58
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£57.94
Cambridge University Press Dynamical Systems and Ergodic Theory 40 London Mathematical Society Student Texts Series Number 40
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£100.70
Cambridge University Press LMSST 40 Dynamical Sys Ergodic Thy London Mathematical Society Student Texts Series Number 40
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£42.74