An Introduction to Differential Manifolds

by Barden, Dennis; Thomas, Charles B.

• ISBN13: 9781860943546
• ISBN10: 1860943543
• Format: Hardcover
• Copyright: 2003-03-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Preface
Differential Manifolds and Differentiable Maps	p. 1
The Derivatives of Differentiable Maps	p. 23
Fibre Bundles	p. 43
Differential Forms and Integration	p. 65
The Exterior Derivative	p. 77
De Rham Cohomology	p. 95
Degrees, Indices and Related Topics	p. 119
Lie Groups	p. 153
A Rapid Course in Differential Analysis: Prerequisites for a Course on Differential Manifolds	p. 165
Solutions to the Exercises	p. 185
Guide to the Literature	p. 205
Literature References	p. 209
General References	p. 211
Index	p. 215
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