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| Clifford Algebras and Dirac Operators in Harmonic Analysis |
Cambridge Studies in Advanced Mathematics, 26
Publication
Author/Editor: J. Gilbert, M. Murray
Publisher: Cambridge University Press
The authorsΓÇÖ aim in this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. They show how algebra, geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis. |
| Price: $58.00 |
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| Modular Forms and Galois Cohomology |
Cambridge Studies in Advanced Mathematics, 69
Publication
Author/Editor: Haruzo Hida
Publisher: Cambridge University Press
This book provides a comprehensive account of the key theory on which the TaylorΓÇôWiles proof of FermatΓÇÖs last theorem is based, presenting an overview of the theory of automorphic forms on linear algebraic groups. The book will appeal to graduate students and researchers in number theory and arithmetic algebraic geometry. |
| Price: $60.00 |
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| An Introduction to Lie Groups and Lie Algebras |
Cambridge Studies in Advanced Mathematics, 113
Publication
Author/Editor: Alexander Kirillov
Publisher: Cambridge University Press
This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style, this is a contemporary introduction to the subject. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. |
| Price: $80.00 |
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| Practical Foundations of Mathematics |
Cambridge Studies in Advanced Mathematics, 59
Publication
Author/Editor: Paul Taylor
Publisher: Cambridge University Press
This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programmes). It deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics. |
| Price: $65.00 |
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| Absolutely Summing Operators |
Cambridge Studies in Advanced Mathematics, 43
Publication
Author/Editor: Joe Diestel, Hans Jarchow, Andrew Tonge
Publisher: Cambridge University Press
This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. There are detailed expositions of the core results and highly non-trivial applications, for example to harmonic analysis, probability and measure theory and operator theory. |
| Price: $80.00 |
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| Analysis on Lie Groups |
Cambridge Studies in Advanced Mathematics, 110
Publication
Author/Editor: Jacques Faraut
Publisher: Cambridge University Press
A 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, itΓÇÖs ideal for a graduate course on analysis on Lie groups. |
| Price: $80.00 |
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| Groups as Galois Groups |
Cambridge Studies in Advanced Mathematics, 53
Publication
Author/Editor: Helmut Volklein
Publisher: Cambridge University Press
The goal of this book is to lead the reader to an understanding of recent results on the Inverse Galois Problem. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. |
| Price: $45.00 |
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| Topics in Metric Fixed Point Theory |
Cambridge Studies in Advanced Mathematics, 28
Publication
Author/Editor: Kazimierz Goebel, W. A. Kirk
Publisher: Cambridge University Press
Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject. |
| Price: $45.00 |
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| Partial Differential Equations for Probabilists |
Cambridge Studies in Advanced Mathematics, 112
Publication
Author/Editor: Daniel W. Stroock
Publisher: Cambridge University Press
Gives probabilists enough background to begin applying PDEs to probability theory and probability theory to PDEs. It covers the theory of linear and second order PDEs of parabolic and elliptic type. While most of the techniques described have origins in probability theory, the book does cover some purely analytic techniques. |
| Price: $55.00 |
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| Calculus of Variations |
Cambridge Studies in Advanced Mathematics, 64
Publication
Author/Editor: J├╝rgen Jost, Xianqing Li-Jost
Publisher: Cambridge University Press
This textbook on the calculus of variations covers from the basics to the modern aspects of the theory. It is intended to equip the reader to read present research papers in the subject. |
| Price: $55.00 |
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| Complex Topological K-Theory |
Cambridge Studies in Advanced Mathematics, 111
Publication
Author/Editor: Efton Park
Publisher: Cambridge University Press
Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed, every aspect of the topic is covered, and exercises are included at the end of each chapter. |
| Price: $75.00 |
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| An Introduction to Contact Topology |
Cambridge Studies in Advanced Mathematics, 109
Publication
Author/Editor: Hansj├╢rg Geiges
Publisher: Cambridge University Press
This self-contained text is the first comprehensive introduction to the subject of contact topology. The reader is led from the historical roots of contact geometry to striking recent applications in geometric and differential topology. Ideal for graduate courses on contact geometry, and as a reference for researchers. |
| Price: $90.00 |
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| Harmonic Analysis on Finite Groups: Volume 0 |
Cambridge Studies in Advanced Mathematics, 108
Publication
Author/Editor: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Publisher: Cambridge University Press
Line up a deck of 52 cards on a table. How many switches are needed in order to mix up the deck? This graduate-level book develops the mathematical tools to answer such questions, including the representation theory of finite groups, Markov chains, and the noncommutative version of the classical Fourier analysis. |
| Price: $80.00 |
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| Hodge Theory and Complex Algebraic Geometry I: Volume 1 |
Cambridge Studies in Advanced Mathematics, 76
Publication
Author/Editor: Claire Voisin, Translated by Leila Schneps
Publisher: Cambridge University Press
This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic geometry. |
| Price: $52.00 |
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| Hodge Theory and Complex Algebraic Geometry II: Volume 2 |
Cambridge Studies in Advanced Mathematics, 77
Publication
Author/Editor: Claire Voisin, Translated by Leila Schneps
Publisher: Cambridge University Press
The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues VoisinΓÇÖs study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text includes exercises providing useful results in complex algebraic geometry. |
| Price: $52.00 |
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| Algebraic Homotopy |
Cambridge Studies in Advanced Mathematics, 15
Publication
Author/Editor: Hans Joachim Baues
Publisher: Cambridge University Press
This book gives a general outlook on homotopy theory. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given. |
| Price: $80.00 |
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| Local Cohomology |
Cambridge Studies in Advanced Mathematics, 60
Publication
Author/Editor: M. P. Brodmann, R. Y. Sharp
Publisher: Cambridge University Press
This book provides a careful and detailed algebraic introduction to GrothendieckΓÇÖs local cohomology theory. It is designed for graduate students who have some experience of basic commutative algebra and homological algebra, and also for experts in commutative algebra and algebraic geometry. |
| Price: $48.00 |
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| Complex Analysis |
Cambridge Studies in Advanced Mathematics, 107
Publication
Author/Editor: Kunihiko Kodaira
Publisher: Cambridge University Press
Written by a master of the subject, this profusely illustrated textbook, which includes many examples and exercises, will be appreciated by students and experts. The author develops the classical theory of complex functions, emphasising geometrical ideas in order to avoid some of the topological pitfalls associated with this subject. |
| Price: $80.00 |
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| Langlands Correspondence for Loop Groups |
Cambridge Studies in Advanced Mathematics, 103
Publication
Author/Editor: Edward Frenkel
Publisher: Cambridge University Press
Local geometric Langlands Correspondence is a new area of mathematical physics developed by the author and others in the last 20 years. This text for advanced undergraduate students and graduate students, builds the theory from scratch, defines all necessary concepts and proves the essential results along the way. |
| Price: $85.00 |
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| Linear Operators and their Spectra |
Cambridge Studies in Advanced Mathematics, 106
Publication
Author/Editor: E. Brian Davies
Publisher: Cambridge University Press
This authoritative text presents a broad view of the spectral theory of non-self-adjoint linear operators and contains many illustrative examples and exercises. Topics discussed include Fredholm theory, Hilbert-Schmidt and trace class operators, one-parameter semigroups, perturbations of their generators and a thorough account of the new theory of pseudospectra. |
| Price: $75.00 |
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