Differential Forms in Mathematical Physics 9780720405378, 0720405378

358 59 4MB

English Pages iii-viii, 3-487 [502] Year 1978

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages vii-viii

Chapter 1 Topological Preliminaries
Pages 3-18

Chapter 2 Differential Calculus on Rn
Pages 19-41

Chapter 3 Differentiable Manifolds
Pages 45-58

Chapter 4 Differential Calculus on Manifolds
Pages 59-83

Chapter 5 Lie Groups
Pages 84-115

Chapter 6 Fiber Bundles
Pages 116-137

Chapter 7 Basic Concepts of Differential Forms
Pages 141-207

Chapter 8 Frobenius Theory
Pages 208-256

Chapter 9 Integration of Differential Forms
Pages 259-292

Chapter 10 The de Rham Cohomology
Pages 293-331

Chapter 11 Connections on Fiber Bundles
Pages 335-386

Chapter 12 Hamiltonian Mechanics and Geometry
Pages 389-439

Chapter 13 General Theory of Relativity
Pages 440-482

Bibliography
Pages 483-484

Subject Index
Pages 485-487

Differential Forms in Mathematical Physics
9780720405378, 0720405378

Author / Uploaded
C. von Westenholz (Eds.)

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