Applied Differential Geometry
1st Edition
Published on 31. May 1985
978-1-316-04283-0 (ISBN)
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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Illustrations
Worked examples or Exercises
File size
13,46 MB
ISBN-13
978-1-316-04283-0 (9781316042830)
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Schweitzer Classification
Other editions
Additional editions
William L. Burke
Applied Differential Geometry
Book
05/1985
Cambridge University Press
€138.90
Shipment within 15-20 days
William L. Burke
Applied Differential Geometry
Book
05/1985
Cambridge University Press
€80.47
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Content
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.
