Introduction to smooth manifolds / John M. Lee.
Material type: TextPublication details: New York ; London : Springer, 2013Edition: 2nd edDescription: xv, 708 p. : ill. ; 24 cmISBN: 9781441999818Subject(s): Manifolds (Mathematics)DDC classification: 514.34Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University | 514.34 LEE/I (Browse shelf(Opens below)) | Available | 46056 |
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
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