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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 Vrushabh Bharat Pawar (2210407) 29/12/2022 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: General Section Close shelf browser
514.325 K96T2 Topology of metric spaces 514.325 K96T2 Topology of metric spaces 514.325 K96T2 Topology of metric spaces 514.34 L513I2 Introduction to smooth manifolds 514.34 Sch81I Introduction to 3-manifolds 514.72 G945D Differential topology 514.72 G945D Differential topology

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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