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Geometry, Topology and Physics
Taschenbuch von Mikio Nakahara
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Mikio Nakahara
Inhaltsverzeichnis
Quantum 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.
Details
Erscheinungsjahr: 2003
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 596
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780750306065
ISBN-10: 0750306068
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Nakahara, Mikio
Besonderheit: Unsere Aufsteiger
Hersteller: Taylor & Francis Ltd
Maße: 231 x 154 x 37 mm
Von/Mit: Mikio Nakahara
Erscheinungsdatum: 04.06.2003
Gewicht: 0,832 kg
preigu-id: 120855290
Über den Autor
Mikio Nakahara
Inhaltsverzeichnis
Quantum 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.
Details
Erscheinungsjahr: 2003
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 596
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780750306065
ISBN-10: 0750306068
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Nakahara, Mikio
Besonderheit: Unsere Aufsteiger
Hersteller: Taylor & Francis Ltd
Maße: 231 x 154 x 37 mm
Von/Mit: Mikio Nakahara
Erscheinungsdatum: 04.06.2003
Gewicht: 0,832 kg
preigu-id: 120855290
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