Introduction to smooth manifolds
by
Lee, John M
.
Material type: 
BookSeries: Graduate texts in mathematics: 218.Publisher: New York ; London : Springer, 2013Edition: 2nd Edition.Description: xv, 708 p. : ill. ; 24 cm.ISBN: 9781441999818 (hbk. : alk. paper); 1441999817 (hbk. : alk. paper); 9781441999825 (ebk.).Subject(s): Manifolds (Mathematics)DDC classification: 514.34 L513I2
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 -- Appendices.
| Item type | Current location | Collection | Call number | Status | Notes | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Books
|
Central Library, IISER Bhopal
OPAC URL: http://webopac.iiserb.ac.in/ |
514.34 L513I2 (Browse shelf) | Checked out to Vrushabh Bharat Pawar (2210407) | 08/04/2023 | 8147 | ||
|
Books
|
Central Library, IISER Bhopal
OPAC URL: http://webopac.iiserb.ac.in/ |
Reference | 514.34 L513I2 (Browse shelf) | Not For Loan | Reserve | 8053 |
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.
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