Topology and Geometry for Physicists

Topology and Geometry for Physicists

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Description

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.
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Product details

  • Paperback | 320 pages
  • 135 x 211 x 18mm | 318g
  • New York, United States
  • English
  • Reprint
  • Illustrations, unspecified
  • 0486478521
  • 9780486478524
  • 285,447

Table of contents

Preface1. Basic Notions of Topology and the Value of Topological Reasoning2. Differential Geometry: Manifolds and Differential Forms3. The Fundamental Group4. The Homology Groups5. The Higher Homotopy Groups6. Cohomology and De Rhan Cohomology7. Fibre Bundles and Further Differential Geometry8. Morse Theory9. Defects, Textures, and NHomotopy Theory10. Yang-Mills Theories: Instantons and MonopolesFurther ReadingSubject Index
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About Charles Nash

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.
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