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Paperback
Published: 9th September 1985
ISBN: 9780521269292
Number Of Pages: 436
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.
| Preface | |
| Glossary of notation | |
| Introduction | |
| Tensors in linear spaces | |
| Manifolds | |
| Transformations | |
| The calculus of differential forms | |
| Applications of the exterior calculus | |
| Classical electrodynamics | |
| Dynamics of particles and fields | |
| Calculus on fiber bundles | |
| Gravitation | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9780521269292
ISBN-10: 0521269296
Audience:
Tertiary; University or College
Format:
Paperback
Language:
English
Number Of Pages: 436
Published: 9th September 1985
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.96 x 15.55
x 2.74
Weight (kg): 0.65
