Topology and Geometry for Physicists,9780486478524

Topology and Geometry for Physicists

by ;
Edition: Reprint
ISBN13: 9780486478524
ISBN10: 0486478521
Format: Paperback
Pub. Date: 2011-02-17
Publisher(s): Dover Publications
List Price: $17.80

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Summary

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.

Author Biography

Charles Nash is a Professor of Mathematics at the National University of Ireland. His main research interests are quantum field theory and differential topology.
Siddhartha Sen is Professor Emeritus in Applied Mathematics at the University College of Dublin.

Table of Contents

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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