Suppose one is given a set V of objects, called vectors.
An edition of Analysis on Manifolds
(1991)
Analysis on Manifolds
5th printing
by James R. Munkres
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A substantial course in real analysis is an essential 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 straightforward to the challenging . The book evolved from courses on real analysis taught by the author at the Massachusetts Institute of Technology.
--back cover
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Analysis on Manifolds
1994 04, Addison-Wesley
Hardcover
in English
- 5th printing
0201510359 9780201510355
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Analysis on manifolds
1991, Addison-Wesley Pub. Co., Advanced Book Program, Perseus Books (Sd)
in English
0201510359 9780201510355
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