Lee, John M.,
Introduction to smooth manifolds /
John M. Lee.
- 2nd ed.
- New York ; London : Springer, 2013.
- xv, 708 p. : ill. ; 24 cm.
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
9781441999818
Manifolds (Mathematics)
514.34 / LEE/I