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Introduction to Differentiable Manifolds






Edition:  2
Pub Date: 
Publisher:  Springer
Summary: 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 ofdiffere...ntial topology. The book will have a key position on my shelf.-Steven Krantz, Washington University in St. LouisThis 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 globalanalysis. 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 manifolds, a generalized divergence theorem of Gauss, and an elementary residuetheorem 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.

Lang, Serge A. is the author of Introduction to Differentiable Manifolds, published 2002 under ISBN 9780387954776 and 0387954775. Eighty four Introduction to Differentiable Manifolds textbooks are available for sale on ValoreBooks.com, two used from the cheapest price of $65.28, or buy new starting at $53.63.
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Introduction to Differentiable Manifolds

ISBN-13: 9780387954776

ISBN: 0387954775

Edition: 2nd

Pub Date:
Publisher: Springer
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