Introduction to differentiable manifolds

2nd ed.
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Last edited by ImportBot
March 28, 2025 | History

Introduction to differentiable manifolds

2nd ed.

"This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. Steven Krantz, Washington University in St. Louis "This is an elementary, finite dimensional version of the author's classic monograph, Introduction to Differentiable Manifolds (1962), which served as the standard reference for infinite dimensional manifolds. It provides a firm foundation for a beginner's entry into geometry, topology, and global analysis. The exposition is unencumbered by unnecessary formalism, notational or otherwise, which is a pitfall few writers of introductory texts of the subject manage to avoid. The author's hallmark characteristics of directness, conciseness, and structural clarity are everywhere in evidence. A nice touch is the inclusion of more advanced topics at the end of the book, including the computation of the top cohomology group of a manifold, a generalized divergence theorem of Gauss, and an elementary residue theorem of several complex variables. If getting to the main point of an argument or having the key ideas of a subject laid bare is important to you, then you would find the reading of this book a satisfying experience." Hung-Hsi Wu, University of California, Berkeley

Publish Date
Publisher
Springer
Language
English
Pages
250

Buy this book

Edition Availability
Cover of: Introduction to differentiable manifolds
Introduction to differentiable manifolds
2002, Springer
in English - 2nd ed.
Cover of: Introduction to differentiable manifolds.
Introduction to differentiable manifolds.
1962, Interscience Publishers
in English

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Book Details


Edition Notes

Includes bibliographical references (p. 243-245) and index.

Published in
New York
Series
Universitext

Classifications

Dewey Decimal Class
516.3/6
Library of Congress
QA649 .L3 2002, QA1-939, QA611-614.97

The Physical Object

Pagination
xi, 250 p. :
Number of pages
250

Edition Identifiers

Open Library
OL3559184M
ISBN 10
0387954775
LCCN
2002020940
OCLC/WorldCat
49355883
LibraryThing
1490490
Goodreads
3396001

Work Identifiers

Work ID
OL65819W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
September 28, 2024 Edited by MARC Bot import existing book
August 18, 2024 Edited by MARC Bot import existing book
November 15, 2023 Edited by MARC Bot import existing book
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record