Topology and Geometry for Physicists

Charles Nash, Siddhartha Sen

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English

Dover
17 February 2011

Mathematics & Sciences; Topology; Mathematical physics

Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. 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, enabling students to apply the techniques to their physics formulas and research. """"Thoroughly recommended"""" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

By: Charles Nash, Siddhartha Sen
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 211mm, Width: 135mm, Spine: 15mm
Weight: 375g
ISBN: 9780486478524
ISBN 10: 0486478521
Pages: 311
Publication Date: 17 February 2011
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified

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

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Topology and Geometry for Physicists

Charles Nash, Siddhartha Sen

$37.95

Paperback

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