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.
General
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