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Applied Differential Geometry

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ISBN-10: 0521269296

ISBN-13: 9780521269292

Edition: 1985

Authors: William L. Burke

List price: $120.00
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Description:

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.
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Book details

List price: $120.00
Copyright year: 1985
Publisher: Cambridge University Press
Publication date: 5/31/1985
Binding: Paperback
Pages: 436
Size: 5.87" wide x 8.98" long x 0.94" tall
Weight: 1.232
Language: English

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