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Introduction to smooth manifolds

Author: John M Lee
Publisher: New York ; London : Springer, 2013.
Series: Graduate texts in mathematics, 218.
Edition/Format:   Print book : English : 2nd edView all editions and formats

Familiarizes students with the tools they need to use manifolds in mathematical or scientific research - smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded  Read more...

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Document Type: Book
All Authors / Contributors: John M Lee
ISBN: 9781441999818 1441999817 9781441999825 1441999825
OCLC Number: 800646950
Description: xv, 708 pages : illustrations ; 24 cm.
Contents: 1. Smooth manifolds --
2. Smooth maps --
3. Tangent vectors --
4. Submersions, Immersions, and embeddings --
5. Submanifolds --
6. Sard's theorem --
7. Lie groups --
8. Vector fields --
9. Integral curves and flows --
10. Vector bundles --
11. The contangent bundle --
12. Tensors --
13. Riemannian metrics --
14. Differential forms --
15. Orientations --
16. Integration on manifolds --
17. De Rham cohomology --
18. The de Rham theorem --
19. Distributions and foliations --
20. The exponential map --
21. Quotient manifolds --
22. Symplectic manifolds --
Series Title: Graduate texts in mathematics, 218.
Responsibility: John M. Lee.
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From the reviews of the second edition: "It starts off with five chapters covering basics on smooth manifolds up to submersions, immersions, embeddings, and of course submanifolds. ... the book under Read more...

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