Lee, John M.

Introduction to Smooth Manifolds / John M. Lee - 2nd Ed. - New York : Springer, c2012. - xv, 708p. - Graduate Texts in Mathematics 218 .

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.

9781441999818 1441999817 9781441999825 9781489994752


Manifolds (Mathematics)

514.34 / LeeI2