Introduction to smooth manifolds (eBook, 2003) [WorldCat.org]
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Introduction to smooth manifolds

Author: John M Lee
Publisher: New York : Springer, ©2003.
Series: Graduate texts in mathematics, 218.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. It is a natural sequel to the author's last book, Introduction to Topological Manifolds(2000). While the subject is often called "differential  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Lee, John M., 1950-
Introduction to smooth manifolds.
New York : Springer, ©2003
(DLC) 2002070454
(OCoLC)49681196
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John M Lee
ISBN: 9780387217529 0387217525 0387954953 9780387954950 1280189789 9781280189784 0387954481 9780387954486
OCLC Number: 666929817
Description: 1 online resource (xvii, 628 pages) : illustrations
Contents: Preface --
Smooth Manifolds --
Smooth Maps --
Tangent Vectors --
Vector Fields --
Vector Bundles --
The Cotangent Bundle --
Submersions, Immersions, and Embeddings --
Submanifolds --
Embedding and Approximation Theorems --
Lie Group Actions --
Tensors --
Differential Forms --
Orientations --
Integration on Manifolds --
De Rham Cohomology --
The De Rham Theorem --
Integral Curves and Flows --
Lie Derivatives --
Integral Manifolds and Foliations --
Lie Groups and Their Lie Algebras --
Appendix: Review of Prerequisites --
References --
Index.
Series Title: Graduate texts in mathematics, 218.
Responsibility: John M. Lee.

Abstract:

A sequel to "Introduction to Topological Manifolds". This title includes explanations, diagrams and exemplary motivation, short preliminary sections before each section explaining what is ahead and  Read more...

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From the reviews: "This book offers a concise, clear, and detailed introduction to analysis on manifolds and elementary differential geometry. ... Some of the prerequisites are reviewed in an Read more...

 
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