Applied Differential Geometry

by William L. Burke

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.

Genres: Mathematics, Geometry, Nonfiction

436 pages, Paperback

First published January 1, 1985

Reviews

[Jeffrey Perren · Rating 4 out of 5]

Fine, clear presentation though more advanced and modern than traditional books on Differential Geometry. Balancing that, the emphasis is more on physics than abstract proofs.