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Applied Differential Geometry

William L. Burke

出版	Cambridge University Press, 1985-05-31
主題	Mathematics / Geometry / DifferentialMathematics / TopologyScience / GeneralScience / Physics / Mathematical & Computational
ISBN	05212692969780521269292
URL	http://books.google.com.hk/books?id=58SFj9x5RMEC&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.