Topology and Geometry for Physicists

Charles Nash, Siddhartha Sen (Autoren)

Buch | Softcover

320 Seiten

2011
Dover Publications Inc. (Verlag)
978-0-486-47852-4 (ISBN)

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Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

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.

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

Erscheint lt. Verlag	25.3.2011
Sprache	englisch
Maße	135 x 211 mm
Gewicht	375 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-486-47852-1 / 0486478521
ISBN-13	978-0-486-47852-4 / 9780486478524
Zustand	Neuware