Introduction to smooth manifolds / John M. Lee.

Por: Lee, John M, 1950-Idioma: Inglés Series Graduate texts in mathematics: 218.Editor: New York ; London : Springer, 2013Edición: 2nd edDescripción: xv, 708 p. : ill. ; 24 cmISBN: 9781441999818 (hbk. : alk. paper); 1441999817 (hbk. : alk. paper); 9781441999825 (ebk.)Tema(s): Manifolds (Mathematics)Otra clasificación: 53-01
Contenidos:
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
Appendices.
List(s) this item appears in: Últimas adquisiciones
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Item type Home library Shelving location Call number Materials specified Status Date due Barcode
Libros Libros Instituto de Matemática, CONICET-UNS
Últimas adquisiciones 53 L477-2 (Browse shelf) Available A-9467

Includes bibliographical references (p. 675-677) and indexes.

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 --
Appendices.

MR,

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