Wow! eBook
Applied Differential Geometry
Author(s): Burke (Author)
- Publisher: Cambridge University Press
- Publication Date: 12 Jan. 2008
- Edition: 1st
- Language: English
- Print length: 436 pages
- ISBN-10: 1578867487
- ISBN-13: 9781578867486
Book 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.
