Differential Manifolds and Theoretical Physics
eBook - PDF

Differential Manifolds and Theoretical Physics

  1. 393 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Differential Manifolds and Theoretical Physics

Book details
Table of contents
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About This Book

Differential Manifolds and Theoretical Physics

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Information

Publisher
Academic Press
Year
1985
ISBN
9780080874357
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Front Cover
  2. Differential Manifolds and Theoretical Physics
  3. Copyright Page
  4. Contents
  5. Preface
  6. Chapter 1. Introduction
  7. Chapter 2. Classical Mechanics
  8. Chapter 3. Introduction to Differential Manifolds
  9. Chapter 4. Differential Equations on Manifolds
  10. Chapter 5. The Tangent and Cotangent Bundles
  11. Chapter 6. Covariant 2-Tensors and Metric Structures
  12. Chapter 7. Lagrangian and Hamiltonian Mechanics for Holonomic Systems
  13. Chapter 8. Tensors
  14. Chapter 9. Differential Forms
  15. Chapter 10. Integration of Differential Forms
  16. Chapter 11. The Special Theory of Relativity
  17. Chapter 12. Electromagnetic Theory
  18. Chapter 13. The Mechanics of Rigid Body Motion
  19. Chapter 14. Lie Groups
  20. Chapter 15. Geometrical Models
  21. Chapter 16. Principal Bundles and Connections; Gauge Fields and Classical Particles
  22. Chapter 17. Quantum Effects, Line Bundles, and Holonomy Groups
  23. Chapter 18. Physical Laws for the Gauge Fields
  24. Bibliography
  25. Index