Differential Forms with Applications to the Physical Sciences

Harley Flanders (Eds.)9780122596506, 9780486661698, 0122596501, 0486661695

A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists, it has also been used successfully to introduce modern differential geometry to graduate students in mathematics. 45 illustrations. Index.

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Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Foreword
Page vii
George A. Hawkins

Preface
Pages ix-x
Harley Flanders

I Introduction
Pages 1-4

II Exterior Algebra
Pages 5-18

III The Exterior Derivative
Pages 19-31

IV Applications
Pages 32-48

V Manifolds and Integration
Pages 49-73

VI Applications in Euclidean Space
Pages 74-81

VII Applications to Differential Equations
Pages 82-111

VIII Applications to Differential Geometry
Pages 112-149

IX Applications to Group Theory
Pages 150-162

X Applications to Physics
Pages 163-196

Bibliography
Pages 197-198

Glossary of Notation
Pages 199-200

Index
Pages 201-203