Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. "Thoroughly recommended." - Physics Bulletin. 1983 edition.
Sprache
Verlagsort
Maße
Höhe: 211 mm
Breite: 135 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-0-486-47852-4 (9780486478524)
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Schweitzer Klassifikation
Preface
1. Basic Notions of Topology and the Value of Topological Reasoning
2. Differential Geometry: Manifolds and Differential Forms
3. The Fundamental Group
4. The Homology Groups
5. The Higher Homotopy Groups
6. Cohomology and De Rhan Cohomology
7. Fibre Bundles and Further Differential Geometry
8. Morse Theory
9. Defects, Textures, and NHomotopy Theory
10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
