Calculus and mathematical analysis Books
Cambridge University Press LMS 228 Ergodic Thry Zd Actions London Mathematical Society Lecture Note Series Series Number 228
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£58.99
Cambridge University Press ergodicityforinfinitedimensionalsystems
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£68.99
Cambridge University Press Elliptic Curves
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£100.70
Cambridge University Press LMS 236 The James Forest London Mathematical Society Lecture Note Series Series Number 236
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£61.71
Cambridge University Press Applied Latent Class Analysis
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£114.00
Cambridge University Press Equilibrium States in Ergodic Theory 42 London Mathematical Society Student Texts Series Number 42
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£45.59
Cambridge University Press The Logarithmic Integral v1 Volume 1 12 Cambridge Studies in Advanced Mathematics Series Number 12
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£70.82
Cambridge University Press Analysis
Book SynopsisThis book is a text on mathematical analysis suitable for graduate students and advanced undergraduates. It provides an extensive introduction to proof and to rigorous mathematical thinking. It contains many remarks and examples and 500 exercises designed to provide motivation, test understanding, help practice mathematical writing and explore additional topics.Trade Review'The self-contained text, suitable for advanced undergraduates, provides an extensive introduction into mathematical analysis, from the fundamentals to more advanced material.' Zentralblatt fur Didaktik der MathematikTable of Contents1. Introduction; 2. The real and complex numbers; 3. Real and complex sequences; 4. Series; 5. Power series; 6. Metric spaces; 7. Continuous functions; 8. Calculus; 9. Some special functions; 10. Lebesgue measure on the line; 11. Lebesgue integration on the line; 12. Function spaces; 13. Fourier series; 14. Applications of Fourier series; 15. Ordinary differential equations; Appendix: the Banach-Tarski paradox; Hints for some exercises.
£48.44
Cambridge University Press The Lebesgue Integral
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£35.14
Cambridge University Press Topics in Ergodic Theory
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£37.99
Cambridge University Press Fourier Analysis and Partial Differential Equations 70 Cambridge Studies in Advanced Mathematics Series Number 70
Fourier Analysis and Partial Differential | BookCurl
£127.30
Cambridge University Press Fourier Analysis and Partial Differential Equations 70 Cambridge Studies in Advanced Mathematics Series Number 70
Fourier Analysis and Partial Differential | BookCurl
£65.54
Cambridge University Press Systems of Conservation Laws 2
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£159.60
Cambridge University Press Introduction to the Theory of Distributions
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£85.49
Cambridge University Press Harmonic Mappings in the Plane
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£105.45
Cambridge University Press Convex Geometric Analysis 34 Mathematical Sciences Research Institute Publications Series Number 34
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£105.45
Cambridge University Press Levy Processes 121 Cambridge Tracts in Mathematics Series Number 121
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£66.49
Cambridge University Press Analysis and Logic Connections with Logic 262 London Mathematical Society Lecture Note Series Series Number 262
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£58.40
Cambridge University Press Orthogonal Rational Functions
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£118.75
Cambridge University Press Elliptic Curves Function Theory Geometry Arithmetic
Book SynopsisThe subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.Trade Review'The book is a welcome extension of the existing literature about this important topic … It is recommended to students of mathematics and physics interested in the applications of the theory and the theory itself.' European Mathematical Society'With an easy mind the reviewer can recommend this book to those who want to become acquainted with the subject and to those who look for a book which can serve as guide for a course on the subject … the exemplary way in which Elliptic Curves is written, made reviewing a pleasure.' Niew Archief voor WiskundeTable of Contents1. First ideas: complex manifolds, Riemann surfaces, and projective curves; 2. Elliptic functions and elliptic integrals; 3. Theta functions; 4. Modular groups and molecular functions; 5. Ikosaeder and the quintic; 6. Imaginary quadratic fields; 7. The arithmetic of elliptic fields.
£50.34
Cambridge University Press Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces 269 London Mathematical Society Lecture Note Series Series Number 269
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£65.99
Cambridge University Press Spectral Asymptotics in the SemiClassical Limit 268 London Mathematical Society Lecture Note Series Series Number 268
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£68.33
Cambridge University Press The Volume of Convex Bodies and Banach Space Geometry 94 Cambridge Tracts in Mathematics Series Number 94
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£51.29
Cambridge University Press A First Course in Mathematical Analysis
Book SynopsisMathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.Table of ContentsPreface; Introduction: calculus and analysis; 1. Numbers; 2. Sequences; 3. Series; 4. Continuity; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Power series; Appendix 1. Sets, functions and proofs; Appendix 2. Standard derivatives and primitives; Appendix 3. The first 1,000 decimal places of the square root of 2, e and pi; Appendix 4. Solutions to the problems; Index.
£43.69
Cambridge University Press Ranks of Elliptic Curves and Random Matrix Theory 341 London Mathematical Society Lecture Note Series Series Number 341
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£61.71
Cambridge University Press Spline Functions Basic Theory
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£65.54
Cambridge University Press Curved Spaces From Classical Geometries to Elementary Differential Geometry
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£38.94
Cambridge University Press Finite von Neumann Algebras and Masas London Mathematical Society Lecture Note Series Series Number 351
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£84.07
Cambridge University Press Analysis on Lie Groups An Introduction Cambridge Studies in Advanced Mathematics Series Number 110
Book SynopsisA self-contained and elementary presentation of Lie group theory, concentrating on analysis on Lie groups. The author describes in detail many interesting examples with topics ranging from Haar measure to harmonic functions. With numerous exercises and worked examples, it's ideal for a graduate course on analysis on Lie groups.Trade Review"The main themes are carefully explained and illustrated by well-chosen examples. He succeeds in putting a remarkable wealth of material into a 300-page book which will certainly serve as a basis for many courses on the subject." Joachim Hilgert, Mathematical ReviewsTable of ContentsPreface; 1. The linear group; 2. The exponential map; 3. Linear Lie groups; 4. Lie algebras; 5. Haar measure; 6. Representations of compact groups; 7. The groups SU(2) and SO(3), Haar measure; 8. Analysis on the group SU(2); 9. Analysis on the sphere; 10. Analysis on the spaces of symmetric and Hermitian matrices; 11. Irreducible representations of the unitary group; 12. Analysis on the unitary group; Bibliography; Index.
£76.94
Cambridge University Press A Course of Pure Mathematics Cambridge Mathematical Library
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£47.49
Cambridge University Press Representation Theorems In Hardy Spaces
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£53.19
Cambridge University Press Uniform Central Limit Theorems 142 Cambridge Studies in Advanced Mathematics Series Number 142
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£44.64
Cambridge University Press Soliton Equations and Their AlgebroGeometric Solutions Volume 2 11Dimensional Discrete Models Cambridge Studies in Advanced Mathematics Series Number 114
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£122.55
Cambridge University Press LMS 273 Spectral Theory Geometry London Mathematical Society Lecture Note Series Series Number 273
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£69.99
Cambridge University Press Spinning Tops A Course on Integrable Systems 51 Cambridge Studies in Advanced Mathematics Series Number 51
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£48.44
Cambridge University Press The Integral An Easy Approach after Kurzweil and Henstock 14 Australian Mathematical Society Lecture Series Series Number 14
Book SynopsisIntegration has a long history: its roots can be traced as far back as the ancient Greeks. The first genuinely rigorous definition of an integral was that given by Riemann, and further (more general, and so more useful) definitions have since been given by Lebesgue, Denjoy, Perron, Kurzweil and Henstock, and this culminated in the work of McShane. This textbook provides an introduction to this theory, and it presents a unified yet elementary approach that is suitable for beginning graduate and final year undergraduate students.Trade Review'… already it is worthy of a place in our standard curriculum … The book of Lee and Vyborny serves well as an introduction and reference for anyone interested in this topic.' J. Alan Alewine and Eric Schechter, American Mathematical Monthly'… the authors do an excellent job of presenting their material. The book is written with clarity and enthusiasm.' Brian Jefferies'This is a valuable addition to the literature …'. Jean Mawhin, Bulletin of the Belgian Mathematical SocietyTable of ContentsPreface; 1. Introduction; 2. Basic theory; 3. Theory development; 4. The SL-integral; 5. Generalized AC function; 6. Integration in several dimensions; 7. Some applications; 8. List of symbols; Appendices.
£66.49
Cambridge University Press Special Functions 71 Encyclopedia of Mathematics and its Applications Series Number 71
Book SynopsisSpecial functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, many important but relatively unknown nineteenth century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics, and applications to combinatorial problems. The authors provide organizing ideas, motivation, and historical background for the study and applicaTrade Review'Occasionally there is published a mathematics book that one is compelled to describe as, well, let us say, special. Special Functions is certainly one of those rare books. … this treatise … should become a classic. Every student, user, and researcher in analysis will want to have it close at hand as she/he works.' The Mathematical Intelligencer' … the material is written in an excellent manner … I recommend this book warmly as a rich source of information to everybody who is interested in 'Special Functions'.' Zentralblatt MATH' … this book contains a wealth of fascinating material which is presented in a user-friendly way. If you want to extend your knowledge of special functions, this is a good place to start. Even if your interests are in number theory or combinatorics, there is something for you too … the book can be warmly recommended and should be in all good libraries.' Adam McBride, The Mathematical Gazette' … it comes into the range of affordable books that you want to (and probably should have on your desk'. Jean Mawhin, Bulletin of the Belgian Mathematical Society'The book is full of beautiful and interesting formulae, as was always the case with mathematics centred around special functions. It is written in the spirit of the old masters, with mathemtics developed in terms of formulas. There are many historical comments in the book. It can be recommended as a very useful reference.' European Mathematical Society'… full of beautiful and interesting formulae … It can be recommended as a very useful reference.' EMS Newsletter'a very erudite text and reference in special functions' Allen Stenger, MAA ReviewsTable of Contents1. The Gamma and Beta functions; 2. The hypergeometric functions; 3. Hypergeometric transformations and identities; 4. Bessel functions and confluent hypergeometric functions; 5. Orthogonal polynomials; 6. Special orthogonal transformations; 7. Topics in orthogonal polynomials; 8. The Selberg integral and its applications; 9. Spherical harmonics; 10. Introduction to q-series; 11. Partitions; 12. Bailey chains; Appendix 1. Infinite products; Appendix 2. Summability and fractional integration; Appendix 3. Asymptotic expansions; Appendix 4. Euler-Maclaurin summation formula; Appendix 5. Lagrange inversion formula; Appendix 6. Series solutions of differential equations.
£56.99
Cambridge University Press Asymptotics and MellinBarnes Integrals
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£122.55
Cambridge University Press Irresistible Integrals
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£111.15
Cambridge University Press Analysis on Fractals 143 Cambridge Tracts in Mathematics Series Number 143
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£105.45
Cambridge University Press Topics in Symbolic Dynamics and Applications 279 London Mathematical Society Lecture Note Series Series Number 279
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£58.40
Cambridge University Press Weighing the Odds
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£118.75
Cambridge University Press Stochastic Integration with Jumps 89 Encyclopedia of Mathematics and its Applications Series Number 89
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£135.85
Cambridge University Press Harmonic Maps Conservation Laws and Moving Frames 150 Cambridge Tracts in Mathematics Series Number 150
Book SynopsisThe author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. The reader is then presented with a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A self-contained presentation of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.Trade Review'The book is very well written and it contains truly beautiful geometrical analysis. It also contains a quick, direct introduction to the current research.' EMS NewsletterTable of ContentsPreface; Introduction; Acknowledgements; Notations; 1. Geometric and analytic setting; 2. Harmonic maps with symmetries; 3. Compensations and exotic function spaces; 4. Harmonic maps without symmetries; 5. Surfaces with mean curvature in L2; References.
£105.45
Cambridge University Press Differential Equations
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£114.00
Cambridge University Press Completely Bounded Maps and Operator Algebras 78 Cambridge Studies in Advanced Mathematics Series Number 78
Book SynopsisThis book, first published in 2003, is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike.Trade Review'This book has been written by one of the leading figures in the field. the choice of the presented material has been done in a masterly manner … an excellent introduction to this theory for graduate students. It should also provide a valuable reference source for researchers in the field.' Zentralblatt für Mathematik'The book is carefully written, proofs are often accompanied with notes helping to explain the situation.' EMS Newsletter'Paulsen's book has the advantage of still being concise and staying close to the origins of the theory … the subject of operator spaces is now very well covered and has been made accessible to both the newcomer to the subject, and the specialist looking for concise references, alike. In conclusion, we quote from the cover text of [2]: 'This will be an indispensable introduction to the theory of operator spaces for all who want to know more.' We add: you surely will want to know more.' Martin Mathieu, Queen's University BelfastTable of Contents1. Introduction; 2. Positive maps; 3. Completely positive maps; 4. Dilation theorems; 5. Commuting contractions; 6. Completely positive maps into Mn; 7. Arveson's extension theorems; 8. Completely bounded maps; 9. Completely bounded homomorphisms; 10. Polynomially bounded operators; 11. Applications to K-spectral sets; 12. Tensor products and joint spectral sets; 13. Operator systems and operator spaces; 14. An operator space bestiary; 15. Injective envelopes; 16. Multipliers and operator algebras; 17. Completely bounded multilinear maps; 18. Applications of operator algebras; 19. Similarity and factorization degree.
£108.30
Cambridge University Press A Course in Modern Analysis and its Applications
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£128.25
Cambridge University Press Graph Directed Markov Systems Geometry and Dynamics of Limit Sets 148 Cambridge Tracts in Mathematics Series Number 148
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£105.45