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Introduction to Differentiable Manifolds Paperback - 2010
by Serge Lang
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From the rear cover
"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
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
Details
- Title Introduction to Differentiable Manifolds
- Author Serge Lang
- Binding Paperback
- Edition 2nd edition
- Pages 250
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2010-12-03
- ISBN 9781441930194 / 1441930191
- Weight 0.82 lbs (0.37 kg)
- Dimensions 9.21 x 6.14 x 0.55 in (23.39 x 15.60 x 1.40 cm)
- Dewey Decimal Code 516.36
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Introduction to Differentiable Manifolds
by Serge Lang
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- 9781441930194 / 1441930191
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Introduction to Differentiable Manifolds
by Serge Lang
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- Paperback
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- Paperback
- ISBN 10 / ISBN 13
- 9781441930194 / 1441930191
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Paperback / softback. New. Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics
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Introduction to Differentiable Manifolds (Universitext)
by Lang, Serge
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- ISBN 10 / ISBN 13
- 9781441930194 / 1441930191
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Newport Coast, California, United States
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paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
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