Geometry, Topology and Physics
2nd Revised edition
By (author) Mikio Nakahara
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Geometry, Topology and Physics by Mikio Nakahara
Book DescriptionDifferential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
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Book DetailsISBN: 9780750306065
(234mm x 156mm x 31mm)
Imprint: Institute of Physics Publishing
Publisher: Taylor & Francis Ltd
Publish Date: 4-Jun-2003
Country of Publication: United Kingdom
Books By Author Mikio Nakahara
Lectures on Quantum Computing, Thermodynamics and Statistical Physics, Hardback (November 2012)
Includes: "Quantum Annealing: from Viewpoints of Statistical Physics, Condensed Matter Physics, and Computational Physics"; "Spin Glass: A Bridge between Quantum Computation and Statistical Mechanics"; and "Second Law-like Inequalities with Quantum Relative Entropy: An Introduction".
Quantum Information and Quantum Computing - Proceedings of Symposium, Hardback (November 2012)View all books by Mikio Nakahara
The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This book is a collection of the research outcomes by the members engaged in the project.
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