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Cambridge Studies in Advanced Mathematics Series

182 primary works • 182 total works
The Cambridge Studies in Advanced Mathematics is a series of books each of which aims to introduce the reader to an active area of mathematical research. All topics in pure mathematics are covered, and treatments are suitable for graduate students, and experts from other branches of mathematics, seeking access to research topics.

Book 2

Ergodic Theory
by
4.00 · 1 Ratings · published 1983 · 5 editions
The author presents the fundamentals of the ergodi…

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    Book 3

    Stone Spaces
    by
    4.80     · 5 Ratings · 1 Reviews · published 1982 · 3 editions
    Over the last 45 years, Boolean theorem has been g…

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    Book 4

    Ultrametric Calculus: An Introduction to p-Adic Analysis
    by
    0.00     · published 1985 · 4 editions
    This is an introduction to p-adic analysis which i…

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    Book 5

    Some Random Series of Functions
    by
    4.00     · 1 Ratings · published 1985 · 3 editions
    The second edition of Some Random Series of Functi…

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    Book 6

    Introduction to the Construction of Class Fields
    by
    5.00     · 1 Ratings · published 1985 · 2 editions
    A broad introduction to quadratic forms, modular f…

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    Book 7

    Introduction to Higher-Order Categorical Logic
    by
    4.33     · 12 Ratings · 2 Reviews · published 1986 · 2 editions
    In this volume, Lambek and Scott reconcile two dif…

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    Book 8

    Commutative Ring Theory
    by
    4.33     · 15 Ratings · published 1986 · 4 editions
    In addition to being an interesting and profound s…

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    Book 9

    Characteristic Classes and the Cohomology of Finite Groups
    by
    0.00     · published 2008 · 1 edition
    The purpose of this book is to study the relation …

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    Book 10

    Finite Group Theory
    by
    5.00     · 1 Ratings · published 1986 · 5 editions
    This second edition develops the foundations of fi…

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    Book 11

    Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
    by
    3.60     · 5 Ratings · 1 Reviews · published 1986 · 4 editions
    Representation theory has applications to number t…

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    Book 12

    The Logarithmic Integral: Volume 1
    by
    0.00     · published 1988 · 4 editions
    The theme of this unique work, the logarithmic int…

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    Book 13

    Eigenvalues and S-Numbers
    by
    0.00     · published 1987 · 1 edition

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    Book 14

    An Introduction to the Theory of the Riemann Zeta-Function
    by
    4.33     · 9 Ratings · published 1995 · 8 editions
    This is a modern introduction to the analytic tech…

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    Book 15

    Algebraic Homotopy
    by
    3.00     · 1 Ratings · published 1989 · 5 editions
    This book gives a general outlook on homotopy theo…

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    Book 16

    An Introduction to Harmonic Analysis on Semisimple Lie Groups
    by
    0.00     · published 1989 · 4 editions
    Now in paperback, this graduate-level textbook is …

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    Book 17

    Groups Acting on Graphs
    by
    4.00     · 1 Ratings · published 1989 · 3 editions
    This is an advanced text and research monograph on…

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    Book 18

    Representations of Nilpotent Lie Groups and their Applications: Volume 1, Part 1, Basic Theory and Examples
    by
    5.00     · 1 Ratings · published 1990 · 2 editions
    There has been no exposition of group representati…

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    Book 19

    Cellular Structures in Topology
    by
    4.00     · 1 Ratings · published 1990 · 7 editions
    This book describes the construction and the prope…

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    Book 20

    Introductory Lectures on Siegel Modular Forms
    by
    0.00     · published 1990 · 6 editions
    This volume aims to present a straightforward and …

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    Book 21

    The Logarithmic Integral: Volume 2
    by
    0.00     · published 1992 · 5 editions
    The theme of this unique work, the logarithmic int…

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    Book 22

    Representations and Characters of Finite Groups
    by
    2.00     · 1 Ratings · 1 Reviews · published 1990 · 4 editions
    Representation theory and character theory have pr…

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    Book 24

    Stochastic Flows and Stochastic Differential Equations
    by
    3.00     · 2 Ratings · published 1990 · 3 editions
    Stochastic analysis and stochastic differential eq…

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    Book 25

    Banach Spaces for Analysts
    by
    0.00     · published 1991 · 3 editions
    This is an introduction to modern Banach space the…

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    Book 26

    Clifford Algebras and Dirac Operators in Harmonic Analysis
    by
    4.00     · 2 Ratings · published 1991 · 6 editions
    The aim of this book is to unite the seemingly dis…

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    Book 27

    Algebraic Number Theory
    by
    0.00     · 2 editions
    This book provides a brisk, thorough treatment of …

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    Book 28

    Topics in Metric Fixed Point Theory
    by
    0.00     · published 1990 · 3 editions
    Metric fixed point theory has proved a flourishing…

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    Book 29

    Reflection Groups and Coxeter Groups
    by
    4.50     · 12 Ratings · 1 Reviews · published 1990 · 5 editions
    In this graduate textbook Professor Humphreys pres…

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    Book 30

    Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
    by
    4.00     · 2 Ratings · 1 Reviews · published 1991 · 7 editions
    This is the first of two volumes providing an intr…

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    Book 31

    Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
    by
    5.00     · 1 Ratings · published 1992 · 5 editions
    The heart of the book is a lengthy introduction to…

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    Book 32

    Cohomological Methods in Transformation Groups
    by
    0.00     · published 1993 · 4 editions
    In the large and thriving field of compact transfo…

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    Book 33

    Lectures on Arakelov Geometry
    by
    0.00     · published 1992 · 6 editions
    Arakelov theory is a new geometric approach to dio…

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    Book 34

    A Primer of Nonlinear Analysis
    by
    4.50     · 2 Ratings · published 1993 · 3 editions
    This is an introduction to nonlinear functional an…

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    Book 36

    Representation Theory of Artin Algebras
    by
    5.00     · 1 Ratings · published 1995 · 4 editions
    This book serves as a comprehensive introduction t…

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    Book 37

    Wavelets and Operators
    by
    5.00     · 1 Ratings · published 1993 · 4 editions
    Over the last two years, wavelet methods have show…

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    Book 38

    An Introduction to Homological Algebra
    by
    4.33     · 21 Ratings · 5 Reviews · published 1994 · 12 editions
    The landscape of homological algebra has evolved o…

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    Book 39

    Cohen-Macaulay Rings
    by
    3.50     · 2 Ratings · published 1993 · 6 editions
    In the past two decades Cohen-Macaulay rings and m…

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    Book 40

    Explicit Brauer Induction: With Applications to Algebra and Number Theory
    by
    4.00     · 1 Ratings · published 1994 · 4 editions
    Explicit Brauer Induction is a new and important t…

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    Book 41

    Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis
    by
    4.00     · 1 Ratings · published 1995 · 5 editions
    Cohomology of Drinfeld Modular Varieties aims to p…

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    Book 42

    Spectral Theory and Differential Operators
    by
    5.00     · 2 Ratings · 1 Reviews · published 1995 · 6 editions
    In this book, Davies introduces the reader to the …

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    Book 43

    Absolutely Summing Operators
    by
    0.00     · published 1995 · 3 editions
    We can best understand many fundamental processes …

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    Book 44

    Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
    by
    4.67     · 3 Ratings · published 1995 · 7 editions
    The focus of this book is geometric properties of …

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    Book 45

    Positive Harmonic Functions and Diffusion (Cambridge Studies in Advanced Mathematics) by Ross G. Pinsky
    by
    0.00     · published 1995 · 4 editions
    In this book, Professor Pinsky gives a self-contai…

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    Book 46

    Introduction to Analytic and Probabilistic Number Theory
    by
    4.67     · 6 Ratings · published 1995 · 2 editions
    This book is a systematic introduction to analytic…

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    Book 47

    An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra
    by
    4.50     · 2 Ratings · published 1996 · 2 editions
    In this introduction to commutative algebra, the a…

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    Book 48

    Wavelets: Calderón-Zygmund and Multilinear Operators
    by
    4.00     · 1 Ratings · published 1997 · 3 editions
    Now in paperback, this remains one of the classic …

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    Book 49

    Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
    by
    4.19     · 32 Ratings · 2 Reviews · published 1986 · 11 editions
    This book, the first of a two-volume basic introdu…

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    Book 50

    Clifford Algebras and the Classical Groups
    by
    3.67     · 3 Ratings · 1 Reviews · published 1995 · 3 editions
    This book reflects the growing interest in the the…

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    Book 51

    Spinning Tops: A Course on Integrable Systems
    by
    0.00     · published 1996 · 4 editions
    Since the time of Lagrange and Euler, it has been …

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    Book 52

    Geometric Control Theory
    by
    3.50     · 2 Ratings · published 1996 · 4 editions
    This book describes the mathematical theory inspir…

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    Book 53

    Groups as Galois Groups: An Introduction
    by
    4.00     · 1 Ratings · published 1996 · 6 editions
    This book describes various approaches to the Inve…

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    Book 54

    Lectures on Vector Bundles
    by
    0.00     · published 1997 · 3 editions
    This work consists of two sections on the moduli s…

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    Book 55

    Automorphic Forms and Representations
    by
    4.50     · 8 Ratings · 1 Reviews · published 1997 · 9 editions
    This book covers both the classical and representa…

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    Book 56

    Cohomology of Drinfeld Modular Varieties
    by
    0.00     · published 1997 · 4 editions
    Cohomology of Drinfeld Modular Varieties aims to p…

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    Book 57

    Natural Dualities for the Working Algebraist
    by
    4.00     · 1 Ratings · published 1998 · 2 editions
    The theory of natural dualities, as presented in t…

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    Book 58

    A User's Guide to Spectral Sequences
    by
    4.20     · 5 Ratings · 1 Reviews · published 2000 · 9 editions
    Spectral sequences are among the most elegant and …

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    Book 59

    Practical Foundations of Mathematics
    by
    4.20     · 5 Ratings · 1 Reviews · published 1999 · 5 editions
    Practical Foundations of Mathematics explains the …

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    Book 60

    Local Cohomology: An Algebraic Introduction with Geometric Applications
    by
    5.00     · 1 Ratings · published 1998 · 7 editions
    This book provides a careful and detailed algebrai…

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    Book 61

    Analytic Pro-P Groups (Cambridge Studies in Advanced Mathematics) by J. D. Dixon (18-Sep-2003) Paperback
    by
    0.00     · published 1991 · 5 editions
    Excellent Book

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    Book 62

    Cambridge Studies in Advanced Mathematics, Volume 62: Enumerative Combinatorics, Volume 2
    by
    4.08     · 12 Ratings · published 1999 · 5 editions
    This second volume of a two-volume basic introduct…

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    Book 63

    Uniform Central Limit Theorems
    by
    0.00     · published 1999 · 5 editions
    This book shows how, when samples become large, th…

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    Book 64

    Calculus of Variations
    by
    4.33     · 3 Ratings · published 1999 · 5 editions
    This textbook on the calculus of variations leads …

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    Book 65

    An Introduction to Rings and Modules: With K-Theory in View
    by
    3.00     · 1 Ratings · published 2000 · 3 editions
    This concise introduction to ring theory, module t…

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    Book 66

    Holomorphic Dynamics
    by
    0.00     · published 2000 · 2 editions
    Here is a comprehensive introduction to holomorphi…

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    Book 67

    Categories and Modules with K-Theory in View
    by
    0.00     · published 2000 · 3 editions
    This book develops aspects of category theory fund…

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    Book 68

    Lévy Processes and Infinitely Divisible Distributions
    by
    3.33     · 3 Ratings · published 1999 · 5 editions
    Lévy processes are rich mathematical objects and c…

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    Book 69

    Modular Forms and Galois Cohomology
    by
    4.50     · 2 Ratings · published 2000 · 5 editions
    This book provides a comprehensive account of a ke…

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    Book 70

    Fourier Analysis and Partial Differential Equations
    by
    5.00     · 1 Ratings · 1 Reviews · published 2001 · 7 editions
    This modern introduction to Fourier analysis and p…

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    Book 71

    Analysis in Integer and Fractional Dimensions
    by
    0.00     · published 2001 · 5 editions
    This book provides a thorough and self-contained s…

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    Book 72

    Galois Theories
    by
    4.00     · 2 Ratings · published 2001 · 6 editions
    Starting from the classical finite-dimensional Gal…

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    Book 73

    Random Graphs
    by
    3.78     · 9 Ratings · published 1985 · 11 editions
    This is a new edition of the now classic text. The…

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    Book 74

    Real Analysis and Probability
    by
    3.76     · 17 Ratings · 2 Reviews · published 1989 · 12 editions
    This classic textbook, now reissued, offers a clea…

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    Book 75

    Complex Polynomials
    by
    0.00     · published 2002 · 6 editions
    Complex Polynomials explores the geometric theory …

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    Book 76

    Hodge Theory and Complex Algebraic Geometry I: Volume 1
    by
    4.78     · 9 Ratings · published 1998 · 14 editions
    This is a modern introduction to Kaehlerian geomet…

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    Book 77

    Hodge Theory and Complex Algebraic Geometry II: Volume 2
    by
    4.57     · 7 Ratings · published 1999 · 11 editions
    The second volume of this modern account of Kaehle…

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    Book 78

    Completely Bounded Maps and Operator Algebras
    by
    5.00     · 1 Ratings · published 2003 · 5 editions
    This book tours the principal results and ideas in…

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    Book 79

    Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models
    by
    2.00     · 1 Ratings · published 1999 · 6 editions
    This book is about algebro-geometric solutions of …

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    Book 81

    An Introduction to Invariants and Moduli
    by
    5.00     · 1 Ratings · published 2012 · 6 editions
    Incorporated in this volume are the first two book…

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    Book 82

    Cambridge Studies in Advanced Mathematics, Volume 82: Lectures in Logic and Set Theory, Volume 1: Mathematical Logic
    by
    0.00     · published 1999 · 4 editions
    This two-volume work bridges the gap between intro…

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    Book 83

    Cambridge Studies in Advanced Mathematics, Volume 83: Lectures in Logic and Set Theory, Volume 2: Set Theory
    by
    5.00     · 3 Ratings · 1 Reviews · published 1999 · 10 editions
    Volume II, on formal (ZFC) set theory, incorporate…

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    Book 84

    Association Schemes: Designed Experiments, Algebra and Combinatorics
    by
    0.00     · published 2003 · 10 editions
    R.A. Bailey covers in this study the mathematics o…

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    Book 85

    Period Mappings and Period Domains
    by
    4.00     · 3 Ratings · published 2003 · 11 editions
    The concept of a period of an elliptic integral go…

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    Book 86

    Multidimensional Real Analysis I: Differentiation
    by
    3.50     · 4 Ratings · published 2004 · 9 editions
    Volume 1 provides a comprehensive review of differ…

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    Book 87

    Multidimensional Real Analysis Volume II: Integration. Cambridge Studies in Advanced Mathematics, Volume 87
    by
    0.00     · published 2004 · 6 editions
    Part two of the authors' comprehensive and innovat…

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    Book 88

    Weak Kam Theorem in Lagrangian Dynamics
    by
    4.00     · 1 Ratings · 1 edition
    Arising from a lecture course on KAM theory given …

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    Book 89

    Tolerance Graphs
    by
    0.00     · published 2004 · 6 editions
    Tolerance graphs can be used to quantify the degre…

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    Book 90

    Global Methods for Combinatorial Isoperimetric Problems
    by
    0.00     · published 2004 · 7 editions
    The study of combinatorial isoperimetric problems …

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    Book 91

    Introduction to Foliations and Lie Groupoids
    by
    3.00     · 1 Ratings · 1 Reviews · published 2003 · 6 editions
    Based on a graduate course taught at Utrecht Unive…

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    Book 92

    Rational and Nearly Rational Varieties
    by
    0.00     · published 2004 · 8 editions
    Arising from a summer school course taught by Jáno…

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    Book 95

    An Introduction to Nonlinear Analysis
    by
    0.00     · published 2005 · 11 editions
    The techniques used to solve nonlinear problems di…

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    Book 96

    Lie Algebras of Finite and Affine Type
    by
    3.00     · 2 Ratings · published 2005 · 5 editions
    Lie algebras have many varied applications, both i…

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    Book 97

    Multiplicative Number Theory I: Classical Theory
    by
    4.71     · 7 Ratings · published 2006 · 10 editions
    Prime numbers are the multiplicative building bloc…

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    Book 98

    Riemannian Geometry: A Modern Introduction
    by
    4.50     · 4 Ratings · published 1994 · 10 editions
    Requiring only an understanding of differentiable …

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    Book 99

    Automorphic Forms and L-Functions for the Group GL(n,R)
    by
    5.00     · 3 Ratings · published 2002 · 11 editions
    L-functions associated to automorphic forms encode…

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    Book 100

    Markov Processes, Gaussian Processes, and Local Times
    by
    5.00     · 1 Ratings · published 2006 · 10 editions
    Written by two foremost researchers in the field, …

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    Book 101

    Central Simple Algebras and Galois Cohomology
    by
    3.00     · 1 Ratings · 15 editions
    This book is the first comprehensive, modern intro…

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    Book 102

    Random Fragmentation and Coagulation Processes
    by
    0.00     · published 2006 · 12 editions
    Fragmentation and coagulation are two natural phen…

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    Book 103

    Langlands Correspondence for Loop Groups
    by
    4.00     · 5 Ratings · published 2007 · 8 editions
    The Langlands Program was conceived initially as a…

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    Book 104

    Nonlinear Analysis and Semilinear Elliptic Problems
    by
    4.00     · 2 Ratings · published 2007 · 7 editions
    Many problems in science and engineering are descr…

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    Book 105

    Additive Combinatorics
    by
    4.53     · 19 Ratings · 2 Reviews · published 2006 · 9 editions
    Additive combinatorics is the theory of counting a…

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    Book 106

    Linear Operators and their Spectra
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    4.00     · 2 Ratings · published 2007 · 12 editions
    This wide ranging but self-contained account of th…

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    1