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About Analysis on Manifolds
A substantial course in real analysis is an esential part of the preparation of any potential mathematician. Analysis on Manifolds is a thorough, class-tested approach that begins with the derivative and the Riemann integral for functions of several variables, followed by a treatment of differential forms and a proof of Stokes' theorem for manifolds in euclidean space.The book includes careful treatment of both the inverse function theorem and the change of variables theorem for n-dimensional integrals, as well as a proof of the Poincare lemma.Intended for students at the senior or first-year graduate level, this text includes more than 120 illustrations and exercises that range from the strightforward to the challenging . The book evolved from courses on real analysis taught by the author at the Massachusetts INstitute of Technology.
Detailed Information
Author: | James R. Munkres |
---|---|
Publication Year: | 1994 |
ISBN: | 9780201510355 |
Pages: | 379 |
Language: | English |
File Size: | 5.297 |
Format: | |
Price: | FREE |
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