Introduction to smooth manifolds / John M. Lee.
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: 53-011. 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.
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Instituto de Matemática, CONICET-UNS | Últimas adquisiciones | 53 L477-2 (Browse shelf) | Available | A-9467 |
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| 37 C518 Bifurcation and chaos in engineering / | 47 Si594 Trace ideals and their applications / | 53 B852 Metric spaces of non-positive curvature / | 53 L477-2 Introduction to smooth manifolds / | 53 Sc365 Lectures on differential geometry / | 53 W926 New developments in lie theory and geometry : | 55 St814 The topology of fibre bundles / |
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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