Encyclopedia of Mathematical Physics, 1st Edition

  • Published By:
  • ISBN-10: 0080547737
  • ISBN-13: 9780080547732
  • DDC: 530.1503
  • Grade Level Range: College Freshman - College Senior
  • 3275 Pages | eBook
  • Original Copyright 2006 | Published/Released June 2008
  • This publication's content originally published in print form: 2006

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About

Overview

Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and to aid teachers in directing students to entries relevant to their coursework.

This work's information has been distilled, organized and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by delivering focused, high-quality background information.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Editors and Editorial Advisory Board.
Foreword.
Preface.
Guide to use of the Encyclopedia.
Contributors.
Contents List by Subject.
Contents.
1: Introductory Article: Classical Mechanics.
2: Introductory Article: Differential Geometry.
3: Introductory Article: Electromagnetism.
4: Introductory Article: Equilibrium Statistical Mechanics.
5: Introductory Article: Functional Analysis.
6: Introductory Article: Minkowski Spacetime and Special Relativitya.
7: Introductory Article: Quantum Mechanics.
8: Introductory Article: Topology.
9: Abelian and Nonabelian Gauge Theories Using Differential Forms.
10: Abelian Higgs Vortices.
11: Adiabatic Piston.
12: AdS/CFT Correspondence.
13: Affine Quantum Groups.
14: Aharonov–Bohm Effect.
15: Algebraic Approach to Quantum Field Theory.
16: Anomalies.
17: Arithmetic Quantum Chaos.
18: Asymptotic Struture and Conformal Infinity.
19: Averaging Methods.
20: Axiomatic Approach to Topological Quantum Field Theory.
21: Axiomatic Quantum Field Theory.
22: Bäcklund Transformations.
23: Batalin–Vilkovisky Quantization.
24: Bethe Ansatz.
25: BF Theories.
26: Bicrossproduct Hopf Algebras and Noncommutative Spacetime.
27: Bifurcation Theory.
28: Bifurcations in Fluid Dynamics.
29: Bifurcations of periodic Orbits.
30: Bi–Hamiltonian Methods in Soliton Theory.
31: Billiards in Bounded Convex Domains.
32: Black Hole Mechanics.
33: Boltzmann Equation (Classical and Quantum).
34: Bose#x2013;Einstein Condensates.
35: Bosons and Fermions in External Fields.
36: Boundaries for Spacetimes.
37: Boundary Conformal Field Theory.
38: Boundary Control Method and Inverse Problems of Wave Propagation.
39: Boundary–Value Problems for Integrable Equations.
40: Braided and Modular Tensor Categories.
41: Brane Construction of Gauge Theories.
42: Brane Worlds.
43: Branes and Black Hole Statistical Mechanics.
44: Breaking Water Waves.
45: Brst Quantization.
46: C*#x2013;Algebras and their Classification.
47: Calibrated Geometry and Special Lagrangian Submanifolds.
48: Calogero#x2013;Moser#x2013;Sutherland Systems of Nonrelativistic and Relativistic Type.
49: Canonical General Relativity.
50: Capacities Enhanced by Entanglement.
51: Capacity for Quantum Information.
52: Capillary Surfaces.
53: Cauchy Problem for Burgers#x2013;Type Equations.
54: Cellular Automata.
55: Central Manifolds, Normal Forms.
56: Channels in Quantum Information Theory.
57: Chaos and Attractors.
58: Characteristic Classes.
59: Chern#x2013;Simons Models: Rigorous Results.
60: Classical Groups and Homogeneous Spaces.
61: Classical r#x2013;Matrices, Lie Bialgebras, and Poisson Lie Groups.
62: Clifford Algebras and Their Representations.
63: Cluster Expansion.
64: Coherent States.
65: Cohomology Theories.
66: Combinatorics: Overview.
67: Compact Groups and Their Representations.
68: Compactification of Superstring Theory.
69: Compressible Flows: Mathematical Theory.
70: Computational Methods in General Relativity: The Theory.
71: Constrained Systems.
72: Constructive Quantum Field Theory.
73: Contact Manifolds.
74: Control Problems in Mathematical Physics.
75: Convex Analysis and Duality Methods.
76: Cosmology: Mathematical Aspects.
77: Contangent Bundle Reduction.
78: Critical Phenomena in Gravitational Collapse.
79: Current Algebra.