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Introduction to smooth manifolds

by Lee, John M.
Material type: materialTypeLabelBookSeries: 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.
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Item type Current location Collection Call number Status Notes Date due Barcode
Books Books Central Library, IISER Bhopal

 

OPAC URL: http://webopac.iiserb.ac.in/

General Section
514.34 L513I2 (Browse shelf) Available 8147
Books Books Central Library, IISER Bhopal

 

OPAC URL: http://webopac.iiserb.ac.in/

Reference Section
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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