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Encyclopedia of Mathematics and its Applications

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Editors: R. Doran, P. Flajolet, M. Ismail, T.-Y. Lam, E. Lutwak, Gian-Carlo Rota

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 will cover their subject comprehensively. Less important results may be summarized as exercises at the ends of chapters. For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes will be encyclopedic references or manageable guides to major subjects.

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There are 158 titles in this series...

[120] Absolute Measurable Spaces

[92] Abstract Regular Polytopes

[127] Aggregation Functions

[90] Algebraic Combinatorics on Words

[30] Algorithmic Algebraic Number Theory

[123] Algorithmic Aspects of Graph Connectivity

[87] An Algebraic Introduction to K-Theory

[87] An Algebraic Introduction to K-Theory

[106] Analytic Tomography

[8] Angular Momentum in Quantum Physics

Theory and Application

  • L. C. Biedenharn, James D. Louck, Foreword by Peter A. Carruthers
  • Paperback | Published March 2009
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[105] Applied Combinatorics on Words

[118] Asymptotic Analysis of Random Walks

Heavy-Tailed Distributions

[85] Asymptotics and Mellin-Barnes Integrals

[49] Banach Algebras and the General Theory of *-Algebras

Volume 1, Algebras and Banach Algebras

[49] Banach Algebras and the General Theory of *-Algebras

Volume 1, Algebras and Banach Algebras

[96] Basic Hypergeometric Series

2nd Edition

[19] Birkhoff Interpolation

[19] Birkhoff Interpolation

Boolean Functions

Volume 2, Applications

[60] Bounded Arithmetic, Propositional Logic and Complexity Theory

[97] Categorical Foundations

Special Topics in Order, Topology, Algebra, and Sheaf Theory

[98] Classical and Quantum Orthogonal Polynomials in One Variable

[129] Codes and Automata

[114] Combinatorial Games

Tic-Tac-Toe Theory

[29] Combinatorial Geometries

[29] Combinatorial Geometries

[108] Combinatorial Matrix Classes

[39] Combinatorial Matrix Theory

[55] Combinatorial Methods in Discrete Mathematics

[67] Combinatorial Species and Tree-like Structures

  • François Bergeron, Gilbert Labelle, Pierre Leroux, Translated by Margaret Readdy
  • Hardback | Published December 1997
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[36] Comparison of Statistical Experiments

[36] Comparison of Statistical Experiments

[25] Computation and Automata

[48] Computation with Finitely Presented Groups

[48] Computation with Finitely Presented Groups

[101] Contact Geometry and Nonlinear Differential Equations

[11] Continued Fractions

Analytic Theory and Applications

[93] Continuous Lattices and Domains

  • G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove, D. S. Scott
  • Hardback | Published March 2003
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[75] Control Theory for Partial Differential Equations

Continuous and Approximation Theories
Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon

[74] Control Theory for Partial Differential Equations

Continuous and Approximation Theories
Volume 1, Abstract Parabolic Systems

[44] Convex Bodies

The Brunn-Minkowski Theory

[44] Convex Bodies

The Brunn-Minkowski Theory

[109] Convex Functions

Constructions, Characterizations and Counterexamples

[78] Design Theory

Volume 2, 2nd Edition

[69] Design Theory

Volume 1, 2nd Edition

[104] Dynamic Data Assimilation

A Least Squares Approach

[66] Eigenspaces of Graphs

[66] Eigenspaces of Graphs

[38] Exact Constants in Approximation Theory

[38] Exact Constants in Approximation Theory

[117] Exact and Approximate Controllability for Distributed Parameter Systems

A Numerical Approach

[33] Factorization Calculus and Geometric Probability

[33] Factorization Calculus and Geometric Probability

[22] Field Extensions and Galois Theory

  • Julio R. Bastida, Harald Niederreiter, S. D. Riemenschneider
  • Hardback | Published February 1985
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[20] Finite Fields

2nd Edition

[20] Finite Fields

2nd Edition

[31] Functional Equations in Several Variables

[31] Functional Equations in Several Variables

[43] General Orthogonal Polynomials

[43] General Orthogonal Polynomials

[61] Geometric Applications of Fourier Series and Spherical Harmonics

[61] Geometric Applications of Fourier Series and Spherical Harmonics

[58] Geometric Tomography

2nd Edition

[58] Geometric Tomography

2nd Edition

[84] Geometries on Surfaces

[119] Geometry of Chemical Graphs

Polycycles and Two-faced Maps

[91] Geometry of Sporadic Groups

Volume 2, Representations and Amalgams

[76] Geometry of Sporadic Groups

Volume 1, Petersen and Tilde Geometries

[76] Geometry of Sporadic Groups

Volume 1, Petersen and Tilde Geometries

[52] Handbook of Categorical Algebra

Volume 3, Sheaf Theory

[52] Handbook of Categorical Algebra

Volume 3, Sheaf Theory

[51] Handbook of Categorical Algebra

Volume 2, Categories and Structures

[51] Handbook of Categorical Algebra

Volume 2, Categories and Structures

[50] Handbook of Categorical Algebra

Volume 1, Basic Category Theory

[50] Handbook of Categorical Algebra

Volume 1, Basic Category Theory

[125] Hilbert Transforms

Volume 2,

[124] Hilbert Transforms

Volume 1,

Hilbert Transforms Set

[62] Infinite Dimensional Optimization and Control Theory

[37] Interval Methods for Systems of Equations

[37] Interval Methods for Systems of Equations

[54] Introduction to the Modern Theory of Dynamical Systems

[32] Iterative Functional Equations

[32] Iterative Functional Equations

[116] J-Contractive Matrix Valued Functions and Related Topics

Volume 0, Part 0,

[100] Large Deviations and Metastability

[80] Lie's Structural Approach to PDE Systems

[94] Mathematical Constants

[40] Matroid Applications

[40] Matroid Applications

[7] Measurement Theory

With Applications to Decisionmaking, Utility, and the Social Sciences
Volume 7,

[63] Minkowski Geometry

[42] Model Theory

[42] Model Theory

[130] Modules over Endomorphism Rings

[107] Multiple Scattering

Interaction of Time-Harmonic Waves with N Obstacles

[83] Navier-Stokes Equations and Turbulence

[83] Navier-Stokes Equations and Turbulence

[64] Nonnegative Matrices and Applications

[64] Nonnegative Matrices and Applications

[115] Nonuniform Hyperbolicity

Dynamics of Systems with Nonzero Lyapunov Exponents

[41] Operator Algebras in Dynamical Systems

[41] Operator Algebras in Dynamical Systems

[46] Oriented Matroids

2nd Edition

  • Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Gunter M. Ziegler
  • Paperback | Published November 1999
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[122] Orthogonal Polynomials and Continued Fractions

From Euler's Point of View

[81] Orthogonal Polynomials of Several Variables

[70] Orthonormal Systems and Banach Space Geometry

[70] Orthonormal Systems and Banach Space Geometry

[59] Padé Approximants

2nd Edition

[59] Padé Approximants

2nd Edition

[6] Permanents

[77] Polynomials with Special Regard to Reducibility

[56] Probabilistic Methods in Combinatorial Analysis

[121] Purity, Spectra and Localisation

[72] Quantum Field Theory for Mathematicians

[72] Quantum Field Theory for Mathematicians

[53] Random Graphs

[53] Random Graphs

[27] Regular Variation

[132] Relational Mathematics

[73] Semimodular Lattices

Theory and Applications

[73] Semimodular Lattices

Theory and Applications

[57] Skew Fields

Theory of General Division Rings

[57] Skew Fields

Theory of General Division Rings

[88] Solving Polynomial Equation Systems I

The Kronecker-Duval Philosophy

[99] Solving Polynomial Equation Systems II

Macaulay's Paradigm and Gröbner Technology

[71] Special Functions

[71] Special Functions

[65] Sperner Theory

[110] Spline Functions on Triangulations

Volume 0, Part 0,

Stochastic Control and Mathematical Modeling

Applications in Economics

[45] Stochastic Equations in Infinite Dimensions

[45] Stochastic Equations in Infinite Dimensions

[89] Stochastic Integration with Jumps

[113] Stochastic Partial Differential Equations with Lévy Noise

An Evolution Equation Approach

[47] Stopping Times and Directed Processes

[47] Stopping Times and Directed Processes

[126] Sub-Riemannian Geometry

General Theory and Examples
Volume 0, Part 0,

[111] Symmetric Generation of Groups

With Applications to many of the Sporadic Finite Simple Groups

[24] The Banach-Tarski Paradox

[18] The Cauchy Problem

[18] The Cauchy Problem

[112] The Classical Fields

Structural Features of the Real and Rational Numbers

[82] The Foundations of Mathematics in the Theory of Sets

[95] The Mountain Pass Theorem

Variants, Generalizations and Some Applications

[23] The One-Dimensional Heat Equation

[23] The One-Dimensional Heat Equation

[9] The Racah-Wigner Algebra in Quantum Theory

[16] The Representation Theory of the Symmetric Group

[86] The Theory of Information and Coding

Student Edition

[86] The Theory of Information and Coding

2nd Edition

The Theory of Partitions

[26] Theory of Matroids

[102] Topics in Algebraic Graph Theory

  • Edited by Lowell W. Beineke, Robin J. Wilson, Peter J. Cameron
  • Hardback | Published December 2004
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[128] Topics in Topological Graph Theory

  • Edited by Lowell W. Beineke, Robin J. Wilson, Edited in consultation with Jonathan L. Gross, Thomas W. Tucker
  • Hardback | Published July 2009
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[34] Volterra Integral and Functional Equations

[34] Volterra Integral and Functional Equations

[103] Well-Posed Linear Systems