Applied Differential Geometry
Burke, "Applied Differential Geometry"
English | ISBN: 0521269296 | 2008 | 436 pages | PDF | 163 MB
English | ISBN: 0521269296 | 2008 | 436 pages | PDF | 163 MB
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.