Differential Manifolds and Theoretical Physics

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Academic Press, May 24, 1985 - Mathematics - 393 pages
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Contents

Chapter 1 Introduction
1
Chapter 2 Classical Mechanics
5
Chapter 3 Introduction to Differential Manifolds
16
Chapter 4 Differential Equations on Manifolds
39
Chapter 5 The Tangent and Cotangent Bundles
61
Chapter 6 Covariant 2Tensors and Metric Structures
72
Chapter 7 Lagrangian and Hamiltonian Mechanics for Holonomic Systems
94
Chapter 8 Tensors
127
Chapter 12 Electromagnetic Theory
239
Chapter 13 The Mechanics of Rigid Body Motion
255
Chapter 14 Lie Groups
286
Chapter 15 Geometrical Models
297
Chapter 16 Principal Bundles and Connections Gauge Fields and Classical Particles
335
Chapter 17 Quantum Effects Line Bundles and Holonomy Groups
354
Chapter 18 Physical Laws for the Gauge Fields
371
Bibliography
387

Chapter 9 Differential Forms
141
Chapter 10 Integration of Differential Forms
196
Chapter 11 The Special Theory of Relativity
213

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