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<図書>
Geometry, topology and physics

責任表示 Mikio Nakahara
シリーズ Graduate student series in physics
データ種別 図書
出版者 Bristol, England ; Philadelphia : A. Hilger
出版年 c1990
本文言語 英語
大きさ xiii, 505 p. : ill. ; 24 cm
概要 This 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 s...aces, 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.
This 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.
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所蔵情報


理系図3F 数理独自 068222190000943 NAKA/30/1 1990

書誌詳細

一般注記 Bibliography: p. [492]-496
Includes index
著者標目 *中原, 幹夫(1952-) <ナカハラ, ミキオ>
件 名 LCSH:Geometry, Differential
LCSH:Topology
LCSH:Mathematical physics
分 類 LCC:QA641
DC20:516.3/6
NDC8:414.7
書誌ID 1001385091
ISBN 0852740948
NCID BA07963218
巻冊次 : hardback ; ISBN:0852740948
: pbk ; ISBN:0852740956
登録日 2009.11.02
更新日 2009.11.02

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