By William L. Burke
This can be a self-contained introductory textbook at the calculus of differential types and smooth differential geometry. The meant viewers is physicists, so the writer emphasises functions and geometrical reasoning on the way to supply effects and ideas an exact yet intuitive which means with out getting slowed down in research. the big variety of diagrams is helping elucidate the elemental rules. Mathematical issues coated comprise differentiable manifolds, differential types and twisted varieties, the Hodge megastar operator, external differential platforms and symplectic geometry. the entire arithmetic is stimulated and illustrated by means of beneficial actual examples.