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Geometry, Topology and Physics by Mikio Nakahara (2003, Trade Paperback)
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About this product
Product Identifiers
PublisherTaylor & Francis Group
ISBN-100750306068
ISBN-139780750306065
eBay Product ID (ePID)30274699
Product Key Features
Number of Pages596 Pages
LanguageEnglish
Publication NameGeometry, Topology and Physics
SubjectGeometry / General, Topology, Physics / Mathematical & Computational, Physics / General
Publication Year2003
TypeTextbook
Subject AreaMathematics, Science
AuthorMikio Nakahara
FormatTrade Paperback
Dimensions
Item Height1.2 in
Item Weight39 Oz
Item Length9.1 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN2003-282202
Reviews"...a very impressive book."-Australian and New Zealand Physicists"The clarity of the presentation is enhanced by explicit calculations and diagrams; the proof of a theorem is given only when it is instructive and not very technical. There is also a large number of exercises and problems, and last but not least, an index ... superb layout..."- Zentralblatt fur Mathematick un ihre Grenzgebiete"I believe that the book will not only boost modernization of the traditional courses of theoretical physics but will prompt the specialist in topology and differential geometry to have a closer look at the applications. So I welcome this second edition."-Christopher Gilmour
Dewey Edition22
IllustratedYes
Dewey Decimal516.3/6
Edition DescriptionRevised edition,New Edition
Table Of ContentQuantum Physics. Mathematical Preliminaries. Homology Groups. Homotopy Groups. Manifolds. DeRham Cohomology Groups. Riemannian Geometry. Complex Manifolds. Fibre Bundles. Connections on Fibre Bundles. Characteristic Classes. Index Theorems. Anomalies in Gauge Field Theories. Bosonic String Theory. References. Index.
SynopsisThis book provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. Using many illustrations, exercises, and problems, the author demonstrates more elaborate concepts of topology and geometry, including 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 examine anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view., 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.
LC Classification NumberQA641
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