C. von Westenholz (Eds.)9780720405378, 0720405378
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
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