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# Introduction to Smooth Manifolds

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This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, ve
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Hardcover, 708 pages

Published
August 26th 2012
by Springer
(first published January 1st 2002)

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(*) First the theory of smooth manifolds in general (ch1, 2, 3, 4, 5 and 6), smooth maps, (co)tangent spaces, (co)vector fields and vector bundles. These first few chapters contain a lot of examples. These six chapters can be used as a first introduction course to smo ...more

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