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Product Details
From the back cover: This book "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."
BRIEF CONTENTS
Preface
Chapter 1. Basic Notations of Topology and the Value of Topological Reasoning
Chapter 2. Differential Geometry: Manifolds and Differntial Forms
Chapter 3. The Fundamental Group
Chapter 4. The Homology Groups
Chapter 5. The HIgher Homotopy Groups
Chapter 6. Cohomology and De Rhan Cohomology
Chapter 7. Fibre Bundles and Further Differential Geometry
Chapter 8. Morse Theory
Chapter 9. Defects, Textures and Homotopy Theory
Chapter 10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
NOTE: This book is the "Dover (2011) unabridged republication of the edition published by Academic Press, London, 1983," and contains British spelling.
