Albert S. Schwarz

Topology for Physicists (eBook, PDF)

Übersetzer: Levy, Silvio

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 296
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9783662029985
• Artikelnr.: 53315642

Inhaltsangabe

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.