Encyclopedia of Mathematical Physics

Encyclopedia of Mathematical Physics

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Description

The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. 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 aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised 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 providing them with focused high quality background information.

Editorial Board:
Jean-Pierre Francoise, Universite Pierre et Marie Curie, Paris, France
Gregory L. Naber, Drexel University, Philadelphia, PA, USA
Tsou Sheung Tsun, University of Oxford, UK

Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com.
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Product details

  • Mixed media product | 3500 pages
  • 243.8 x 312.4 x 218.4mm | 11,339.94g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0125126603
  • 9780125126601

Review quote

Encyclopedia of mathematical physics, ed. by Jean-Pierre Francoise, Gregory L. Naber, and Tsou Sheung Tsun. Elsevier, 2006. 5v bibl index ISBN 0-12-512660-3, $1495.00. Reviewed in 2007jan CHOICE. "This encyclopedia is a very valuable and useful work which can be best recommended." -- K.E. Hellwig (Berlin), Zentralblatt MATH

Mathematical physics is a relatively new and quickly evolving field of interdisciplinary study. This encyclopedia starts with eight introductory articles, aimed at physics and mathematics graduate students. The articles give them a basic understanding of material in their non-major that will help them understand the main entries. The contents list is divided into physics subjects and related mathematics subjects. For help in dealing with the highly interdisciplinary nature of the encyclopedia, users may consult cross-references, an alphabetical contents list, and a full subject index. Each article is signed and includes a bibliography and cross-references. The editorial board and authors' roster are extensive and international in nature, with many impressive contributors. Articles are highly scholarly. Illustrations are included, where appropriate, to assist readers with understanding particular concepts. This work offers approximately 450 long, well-written articles, covering almost 3,300 pages in five volumes. This is a high-quality specialized reference work for university libraries serving PhD programs in physics and mathematics. Faculty and graduate students will be the main audience, with some potential use by advanced undergraduates. All libraries supporting graduate programs in these areas and other major research libraries should purchase this work, but most libraries will not need this source. Summing Up: Recommended. Graduate students through professionals/practitioners; motivated upper-level undergraduates. -- J. O. Christensen, Brigham Young University "...a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers access to basic information on topics peripheral to their won 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 aid teachers in directing students to entries relevant to their course-work." -ZENTRALBLATT MATH DATABASE "...a vital source of information and a valuable reference work for some time to come." -in Mathematical Reviews 2007K
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Table of contents

Classical, Conformal and Topological Field Theory
Classical Mechanics
Condensed Matter Physics and Optics
Differential Geometry
Dirac Operators
Dynamical Systems
Fluid Dynamics
Functional Analysis and Variational Techniques
Gauge Theory
General Relativity
Integrable Systems
Lie Groups and Lie Algebras
Many Particle Systems
Noncommutative Geometry
Partial Differential Equations and ODEs
Path Integrals and Functional Integrals
Perturbation Theory
Quantization Techniques
Quantum Field Theory
Quantum Gravity
Quantum Groups
Quantum Information and Computation
Quantum Mechanics
Renormalization
Scattering Theory
Semi-classical Approximations
Singularity Theory
Statistical Mechanics
Stochastic Methods
String Theory and M-Theory
Supersymmetry
Symmetry and Conservation Laws
Symplectic Techniques
Topological Methods
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About Jean-Pierre Francoise

Professor Francoise graduated in Mathematics and in Physics from Grenoble University, France in 1975. He is currently professor of Mathematics at the Universite Pierre et Marie Curie, Paris and a member of the Laboratoire Jacques-Louis Lions after having held a position of charge de recherches at CNRS. Professor Francoise regularly travels and lectures abroad. He spent one year at IMPA (Rio de Janeiro, Brazil) in 1981 and one year at U.C. Berkeley in 1984. He was associate professor at University of Arizona, Tucson in 1987. Professor Francoise has delivered several series of lectures in Milan, in Rome, at the Banach Centre (Warsaw), at CRM (Montreal) and other institutes. He received the prize "du Fay" from the Academie des Sciences de Paris in 1989. His scientific publications include over eighty articles published in international journals and contributions to several books. His scientific research activity focuses on small oscillations near equilibrium of Hamiltonian systems, singularity theory of functions and vector fields, normal forms and semi-classical analysis, integrable systems, bifurcation theory of dynamical systems, finiteness properties of singular projections of analytic sets, bursting oscillations, synchronization and phase locking of weakly coupled oscillators and isochronous systems. Dr. Gregory L. Naber received all three of his degrees in Mathematics from Carnegie-Mellon University and has since held positions in Pennsylvania, California, Hong Kong and Tennessee. His areas of interest include differential topology and geometry and, most particularly, their interaction with mathematical physics. It is this interaction, and the desire to make it more widely known, appreciated and utilized in the mathematical community that has motivated nearly all of his published work, as well as his involvement with the Encyclopedia of Mathematical Physics. Dr. Tsou Sheung Tsun obtained her B.Sc. in Hong Kong and her Doctorat esSciences in Geneva. She has held research fellowships at Wadham College, Oxford, and at the Mathematical Institute, Oxford, where she is now on the Faculty. Trained both as a mathematician and a physicist, Dr. Tsou has worked in gauge theory, string theory and particle physics. Recently she has concentrated on theoretical problems connected with the generation puzzle, neutrino oscillation and electric-magnetic duality. She is also active in the European Mathematical Society and European Women in Mathematics.
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