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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 with a view to supply effects and ideas an actual yet intuitive that means with no getting slowed down in research. the massive variety of diagrams is helping elucidate the basic principles. Mathematical themes lined contain differentiable manifolds, differential varieties and twisted varieties, the Hodge big name operator, external differential structures and symplectic geometry. the entire arithmetic is prompted and illustrated through worthwhile actual examples.

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