Cover of: Analysis on manifolds by James R. Munkres
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Last edited by ImportBot
August 14, 2020 | History
An edition of Analysis on Manifolds (1991)

Analysis on manifolds

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This edition was published in by Addison-Wesley Pub. Co., Advanced Book Program in Redwood City, Calif.

Written in English

366 pages

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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Previews available in: English

Edition Availability
Cover of: Analysis on Manifolds
Analysis on Manifolds
June 1997, Westview Press
in English
Cover of: Analysis on Manifolds
Analysis on Manifolds
1994 04, Addison-Wesley
Hardcover in English - 5th printing
Cover of: Analysis on manifolds
Analysis on manifolds
1991, Addison-Wesley Pub. Co., Advanced Book Program
in English

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Analysis on Manifolds

First published in 1991



Work Description

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

Excerpts

Suppose one is given a set V of objects, called vectors.
added by Lisa. "first sentence"

Analysis on manifolds

This edition was published in by Addison-Wesley Pub. Co., Advanced Book Program in Redwood City, Calif.


Edition Notes

Includes bibliographical references (p. 359-360) and index.

Classifications

Dewey Decimal Class
516.3/6/20
Library of Congress
QA300 .M75 1991

ID Numbers

Open Library
OL2216503M
ISBN 10
0201510359
LC Control Number
89039786
Library Thing
243489
Goodreads
3864496

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August 14, 2020 Edited by ImportBot import existing book
July 26, 2019 Edited by Lisa first sentence
July 26, 2019 Edited by Lisa Edited without comment.
July 25, 2019 Edited by Lisa Added new cover
October 18, 2009 Created by WorkBot add works page