Introduction to Smooth Manifolds / John M. Lee
Material type:
TextLanguage: English Series: Graduate Texts in Mathematics ; 218Publication details: New York : Springer, c2012.Edition: 2nd EdDescription: xv, 708pISBN: - 9781441999818
- 1441999817
- 9781441999825
- 9781489994752
- 514.34Â LeeI2
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Indian Institute of Technology Tirupati Reference | Mathematics | REF 514.34 LeeI2 (Browse shelf(Opens below)) | Copy 1 | Not for loan | 10239 | |
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Indian Institute of Technology Tirupati General Stacks | Mathematics | 514.34 LeeI2 (Browse shelf(Opens below)) | Copy 2 | Available | 10240 | |
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Books
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Indian Institute of Technology Tirupati General Stacks | Mathematics | 514.34 LeeI2 (Browse shelf(Opens below)) | Copy 3 | Available | 10241 |
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| 514.322 JOS Introduction to General Topology | 514.322 JOS Introduction to General Topology | 514.34 LeeI2 Introduction to Smooth Manifolds / | 514.34 LeeI2 Introduction to Smooth Manifolds / | 514.7 PreE2 Elementary Differential Geometry / | 514.74 Fixed Point Theory and Best Approximation : The KKM-Map Principle / | 514.74 BarS SuperFractals / |
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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