Geometry, Topology and Physics (Graduate Student Series in Physics)

3.5
ISBN-13: 9780750306065
ISBN-10: 0750306068
Edition: 2
Author: Mikio Nakahara
Publication date: 2003
Publisher: CRC Press
Format: Paperback 596 pages
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Book details

ISBN-13: 9780750306065
ISBN-10: 0750306068
Edition: 2
Author: Mikio Nakahara
Publication date: 2003
Publisher: CRC Press
Format: Paperback 596 pages

Summary

Acknowledged authors Mikio Nakahara wrote Geometry, Topology and Physics (Graduate Student Series in Physics) comprising 596 pages back in 2003. Textbook and eTextbook are published under ISBN 0750306068 and 9780750306065. Since then Geometry, Topology and Physics (Graduate Student Series in Physics) textbook received total rating of 3.5 stars and was available to sell back to BooksRun online for the top buyback price of $ 21.93 or rent at the marketplace.

Description

Differential 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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