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Applied Differential Geometry

William L. Burke

$132.95

Paperback

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English
Cambridge University Press
09 September 1985
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.

By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 228mm,  Width: 149mm,  Spine: 24mm
Weight:   570g
ISBN:   9780521269292
ISBN 10:   0521269296
Pages:   436
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Paperback
Publisher's Status:   Active
Preface; Glossary of notation; Introduction; 1. Tensors in linear spaces; 2. Manifolds; 3. Transformations; 4. The calculus of differential forms; 5. Applications of the exterior calculus; 6. Classical electrodynamics; 7. Dynamics of particles and fields; 8. Calculus on fiber bundles; 9. Gravitation; Bibliography; Index.

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