Applied Differential Geometry - Brossura

Burke

Brossura

ISBN 10: 0521269296 ISBN 13: 9780521269292

Casa editrice: Cambridge University Press, 2008

Riassunto

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.

Su questo libro

Contenuti:

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.

Product Description:

Book by Burke William L

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521269296
• ISBN 13: 9780521269292
• Rilegatura: Copertina flessibile
• Numero di pagine: 436