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Analysis on Manifolds PDF

379 Pages·1994·5.297 MB·English
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by James R. Munkres| 1994| 379 pages| 5.297| English

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:PDF
Price:FREE
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