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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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Books Books Central Library, IISER Bhopal

 

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

General Section
514.34 L513I2 (Browse shelf) Checked out to Sanjay Kumar Singh (0144) 01/07/2024 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
Browsing Central Library, IISER Bhopal Shelves , Shelving location: Reference Section , Collection code: Reference Close shelf browser
514.32 SU84I2 Introduction to metric and topological spaces 514.325 K96T2 Topology of metric spaces 514.325 SE17M Metric Spaces 514.34 L513I2 Introduction to smooth manifolds 514.34 Sa93L2 Lectures on the topology of 3-manifolds : 514.34 Sch81I Introduction to 3-manifolds 514.72 C160F Foliations I

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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