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Cover: 9783642081316 | Topology for Physicists | Albert S. Schwarz | Taschenbuch | xi | 2010
Rückseite: 9783642081316 | Topology for Physicists | Albert S. Schwarz | Taschenbuch | xi | 2010
Cover: 9783642081316 | Topology for Physicists | Albert S. Schwarz | Taschenbuch | xi | 2010
Rückseite: 9783642081316 | Topology for Physicists | Albert S. Schwarz | Taschenbuch | xi | 2010
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Topology for Physicists
Taschenbuch von Albert S. Schwarz
Sprache: Englisch

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Beschreibung
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. This book is devoted to the exposition of topology in a form easily accessible to physicists. It will be also useful to mathematicians who would like to apply topology in their work, without specialising in this discipline. The author, a topologist turned mathematical physicist has contributed many results to quantum field theory using topological methods, and is thus eminently qualified to write a book such as this.
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. This book is devoted to the exposition of topology in a form easily accessible to physicists. It will be also useful to mathematicians who would like to apply topology in their work, without specialising in this discipline. The author, a topologist turned mathematical physicist has contributed many results to quantum field theory using topological methods, and is thus eminently qualified to write a book such as this.
Zusammenfassung
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. This book is devoted to the exposition of topology in a form easily accessible to physicists. It will be also useful to mathematicians who would like to apply topology in their work, without specialising in this discipline. The author, a topologist turned mathematical physicist has contributed many results to quantum field theory using topological methods, and is thus eminently qualified to write a book such as this.
Inhaltsverzeichnis
0 Background.- 1 Fundamental Concepts.- 2 The Degree of a Map.- 3 The Fundamental Group and Covering Spaces.- 4 Manifolds.- 5 Differential Forms and Homology in Euclidean Space.- 6 Homology and Cohomology.- 7 Homotopy Classification of Maps of the Sphere.- 8 Homotopy Groups.- 9 Fibered Spaces.- 10 Fibrations and Homotopy Groups.- 11 Homotopy Theory of Fibrations.- 12 Lie Groups.- 13 Lie Algebras.- 14 Topology of Lie Groups and Homogeneous Manifolds.- 15 Geometry of Gauge Fields.- Index of Notation.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xi
296 S.
54 s/w Illustr.
ISBN-13: 9783642081316
ISBN-10: 3642081312
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schwarz, Albert S.
Übersetzung: Levy, Silvio
Hersteller: Springer
Springer Spektrum
Springer-Verlag GmbH
Grundlehren der mathematischen Wissenschaften
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Albert S. Schwarz
Erscheinungsdatum: 01.12.2010
Gewicht: 0,482 kg
Artikel-ID: 107174580
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