Encyclopedia of Mathematics and its Applications Series

170 primary works • 170 total works
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in The Encyclopedia of Mathematics and Its Applications cover thei…

Book 1

Integral Geometry and Geometric Probability
Integral geometry originated with problems on geom…
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Book 2

The Theory of Partitions
4.43
· 14 Ratings · 1 Reviews · published 1977 · 9 editions
This book develops the theory of partitions. Simpl…
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Book 3

Theory of Information Coding
This is a self-contained introduction to the theor…
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Book 4

Symmetry and Separation of Variables
Originally published in 1977, this volume is conce…
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Book 5

Thermodynamic Formalism Second Edition: The Mathematical Structures of Equilibrium Statistical Mechanics
Reissued in the Cambridge Mathematical Library, th…
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Book 6

Permanents
3.00
· 1 Ratings · published 1978 · 8 editions
The purpose of this book, which was first publishe…
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Book 7

Measurement Theory: Volume 7: With Applications to Decisionmaking, Utility, and the Social Sciences
This book provides an introduction to measurement …
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Book 8

Angular Momentum in Quantum Physics: Theory and Application
This 1985 text develops the theory of angular mome…
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Book 9

The Racah-Wigner Algebra in Quantum Theory
First published by Cambridge University Press in 1…
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Book 10

Product Integration With Application to Differential Equations
Originally published in 1979, this book shows the …
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Book 11

Continued Fractions: Analytic Theory and Applications
This is an exposition of the analytic theory of co…
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Book 12

Mathematical Theory of Entropy
4.00
· 2 Ratings · published 1981 · 7 editions
Originally published in 1981, this excellent treat…
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Book 13

Pade Approximants Part 1
The first of two volumes describing in a comprehen…
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Book 14

Padé Approximants Part 2
The second of two volumes describing in a comprehe…
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Book 15

The Logic of Quantum Mechanics: Volume 15
Originally published in 1981, this book forms volu…
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Book 16

The Representation Theory of the Symmetric Group
The Representation Theory of the Symmetric Group p…
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Book 17

Combinatorics on Words
4.50
· 2 Ratings · 1 Reviews · published 1983 · 5 editions
Combinatorics on words, or finite sequences, is a …
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Book 18

The Cauchy Problem
3.00
· 1 Ratings · 1 Reviews · published 1984 · 7 editions
This volume deals with the Cauchy or initial value…
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Book 19

Birkhoff Interpolation
This reference book provides the main definitions,…
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Book 20

Finite Fields
by
4.60
· 5 Ratings · published 1984 · 9 editions
The theory of finite fields is a branch of modern …
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Book 22

Field Extensions and Galois Theory
3.00
· 1 Ratings · published 1984 · 8 editions
Originally published in 1984, the principal object…
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Book 23

The One-Dimensional Heat Equation
4.00
· 2 Ratings · published 1984 · 7 editions
This is a version of Gevrey's classical treatise o…
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Book 24

The Banach-Tarski Paradox
4.50
· 14 Ratings · 1 Reviews · published 1985 · 9 editions
This volume explores the consequences of the parad…
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Book 25

Computation and Automata
4.67
· 3 Ratings · published 1985 · 5 editions
This introduction to certain mathematical topics c…
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Book 26

Theory of Matroids
4.00
· 1 Ratings · published 1986 · 8 editions
The theory of matroids is unique in the extent to …
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Book 27

Regular Variation
Both the theory and applications of regular variat…
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Book 28

Rational Approximation of Real Functions
Originally published in 1987, this book is devoted…
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Book 29

Combinatorial Geometries
A continuation of The Theory of Matroids, (edited …
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Book 30

Algorithmic Algebraic Number Theory
3.00
· 1 Ratings · published 1989 · 7 editions
This classic book gives a thorough introduction to…
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Book 31

Functional Equations in Several Variables: With Applications to Mathematics, Information Theory and to the Natural and Social Sciences
Deals with modern theory of functional equations i…
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Book 32

Iterative Functional Equations
4.00
· 1 Ratings · published 1990 · 7 editions
A cohesive and comprehensive account of the modern…
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Book 33

Factorization Calculus and Geometric Probability
The classical subjects of geometric probability an…
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Book 34

Volterra Integral and Functional Equations
The rapid development of the theories of Volterra …
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Book 35

Basic Hypergeometric Series
Thorough and up-to-date, this book is an authorita…
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Book 36

Comparison of Statistical Experiments
The present work examines the various methods of c…
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Book 37

Interval Methods for Systems of Equations
An interval is a natural way of specifying a numbe…
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Book 38

Exact Constants in Approximation Theory
This book is a self-contained introduction to the …
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Book 39

Combinatorial Matrix Theory
4.00
· 6 Ratings · published 1991 · 9 editions
The book deals with the many connections between m…
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Book 40

Matroid Applications
5.00
· 1 Ratings · published 1992 · 6 editions
This volume, the third in a sequence that began wi…
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Book 41

Operator Algebras in Dynamical Systems
This book is concerned with the theory of unbounde…
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Book 42

Model Theory
4.29
· 7 Ratings · published 1993 · 8 editions
Professor Hodges emphasizes definability and metho…
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Book 43

General Orthogonal Polynomials
In this treatise, the authors present the general …
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Book 44

Convex Bodies: The Brunn-Minkowski Theory
At the heart of this monograph is the Brunn-Minkow…
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Book 45

Stochastic Equations in Infinite Dimensions
The aim of this book is to give a systematic and s…
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Book 46

Oriented Matroids
4.50
· 2 Ratings · published 1993 · 10 editions
This second edition of the first comprehensive, ac…
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Book 47

Stopping Times and Directed Processes
The notion of "stopping times" is a useful one in …
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Book 48

Computation with Finitely Presented Groups
The book describes methods for working with elemen…
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Book 49

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
This is the first volume of a two volume set that …
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Book 50

Handbook of Categorical Algebra
4.44
· 16 Ratings · 1 Reviews · published 1994 · 5 editions
A Handbook of Categorical Algebra, in three volume…
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Book 51

EOM: 51 Handbk Categorcl Algebra v2
4.00
· 9 Ratings · published 1994 · 6 editions
The second volume, which assumes familiarity with …
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Book 52

Handbook of Categorical Algebra: Volume 3, Sheaf Theory
4.29
· 7 Ratings · 1 Reviews · published 1994 · 6 editions
This third volume turns to topos theory and the id…
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Book 53

Random Graphs
3.00
· 1 Ratings · published 1998 · 6 editions
The book is devoted to the study of classical comb…
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Book 54

Introduction to the Modern Theory of Dynamical Systems
This book provides a self-contained comprehensive …
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Book 55

Combinatorial Methods in Discrete Mathematics
Originally published in 1996, this is a presentati…
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Book 56

Probabilistic Methods in Combinatorial Analysis
This work explores the role of probabilistic metho…
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Book 57

Skew Fields: Theory of General Division Rings
Algebraists have studied noncommutative fields (al…
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Book 58

Geometric Tomography
5.00
· 2 Ratings · 1 Reviews · published 2006 · 10 editions
Geometric tomography deals with the retrieval of i…
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Book 59

Padé Approximants
4.00
· 2 Ratings · 1 Reviews · published 1970 · 7 editions
This second edition is a comprehensive treatment o…
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Book 60

Bounded Arithmetic, Propositional Logic and Complexity Theory
This book presents an up-to-date, unified treatmen…
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Book 61

Geometric Applications of Fourier Series and Spherical Harmonics
This is the first comprehensive exposition of the …
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Book 62

Infinite Dimensional Optimization and Control Theory
This book concerns existence and necessary conditi…
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Book 63

Minkowski Geometry
0.00
· published 1996 · 5 editions
Minkowski geometry is a type of non-Euclidean geom…
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Book 64

Nonnegative Matrices and Applications
0.00
· 1 Reviews · published 1997 · 5 editions
This book provides an integrated treatment of the …
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Book 65

Sperner Theory
0.00
· published 1997 · 6 editions
Sperner's theorem stimulated the development of a …
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Book 66

Eigenspaces of Graphs
Graph theory is an important branch of contemporar…
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Book 67

Combinatorial Species and Tree-like Structures
4.80
· 5 Ratings · 2 Reviews · published 1997 · 6 editions
The combinatorial theory of species, introduced by…
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Book 69

Design Theory, Volume 1
This is the first volume of the second edition of …
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Book 70

Orthonormal Systems and Banach Space Geometry
Orthonormal Systems and Banach Space Geometry desc…
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Book 71

Special Functions
3.94
· 18 Ratings · published 1999 · 7 editions
Special functions, which include the trigonometric…
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Book 72

Quantum Field Theory for Mathematicians
4.38
· 8 Ratings · 1 Reviews · published 1999 · 8 editions
Ticciati's approach to quantum field theory falls …
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Book 73

Semimodular Lattices: Theory and Applications
Lattice theory evolved as part of algebra in the n…
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Book 74

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories
This is the first volume of a comprehensive and up…
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Book 75

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation ... and its Applications, Series Number 75)
Volume II focuses on the optimal control problem o…
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Book 76

EOM: 76 Geometry Sporadic Groups v1
This book is the first volume in a two-volume set,…
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Book 77

Polynomials with Special Regard to Reducibility
This treatise covers most of the known results on …
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Book 78

Design Theory, Volume 2
This volume concludes the second edition of the st…
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Book 79

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras
This second volume of a two-volume set provides a …
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Book 80

Lie's Structural Approach to PDE Systems
1.00
· 1 Ratings · published 2000 · 7 editions
Here is a lucid and comprehensive introduction to …
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Book 82

The Foundations of Mathematics in the Theory of Sets
This unified approach to the foundations of mathem…
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Book 83

Navier-Stokes Equations and Turbulence
4.50
· 2 Ratings · published 2001 · 7 editions
This book presents the mathematical theory of turb…
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Book 84

Geometries on Surfaces
3.00
· 1 Ratings · published 2001 · 6 editions
One century after Hilbert constructed the first ex…
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Book 85

Asymptotics and Mellin-Barnes Integrals
3.50
· 2 Ratings · published 2001 · 7 editions
Asymptotics and Mellin-Barnes Integrals provides a…
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Book 86

The Theory of Information and Coding
This is a self-contained introduction to the theor…
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Book 86

The Theory of Information and Coding: Student Edition
This is a revised edition of McEliece's classic, p…
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Book 87

An Algebraic Introduction to K-Theory
4.00
· 1 Ratings · published 2002 · 6 editions
This book is both an introduction to K-theory and …
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Book 88

Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy
Polynomial equations have been long studied, both …
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Book 89

Stochastic Integration with Jumps
4.00
· 2 Ratings · published 2002 · 8 editions
Stochastic processes with jumps and random measure…
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Book 91

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
This is the second volume in a two-volume set, whi…
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Book 92

Abstract Regular Polytopes
4.67
· 3 Ratings · published 2002 · 8 editions
Abstract regular polytopes stand at the end of mor…
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Book 93

Continuous Lattices and Domains
4.33
· 3 Ratings · published 2003 · 4 editions
Information content and programming semantics are …
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Book 94

Mathematical Constants
4.33
· 9 Ratings · 1 Reviews · published 2003 · 8 editions
Steven Finch provides 136 essays, each devoted to …
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Book 95

The Mountain Pass Theorem: Variants, Generalizations and Some Applications
Joussef Jabri presents min-max methods through a c…
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Book 96

Basic Hypergeometric Series
4.00
· 1 Ratings · published 1990 · 7 editions
This updated edition will continue to meet the nee…
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Book 97

Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory
Researchers, teachers and graduate students in alg…
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Book 98

Classical and Quantum Orthogonal Polynomials in One Variable
Coverage is encyclopedic in the first modern treat…
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Book 99

Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology
A complete survey of Grobner bases and their appli…
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Book 100

Large Deviations and Metastability
4.33
· 3 Ratings · published 2004 · 5 editions
The book provides a general introduction to the th…
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Book 101

Contact Geometry and Nonlinear Differential Equations
Methods from contact and symplectic geometry can b…
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Book 102

Combinatorial Matrix Classes
4.00
· 3 Ratings · published 2006 · 11 editions
Steven Finch provides 136 essays, each devoted to …
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Book 103

Well-Posed Linear Systems
4.33
· 3 Ratings · published 2005 · 5 editions
Many infinite-dimensional linear systems can be mo…
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