TY - BOOK AU - Lee,John M. TI - Introduction to smooth manifolds T2 - Graduate texts in mathematics SN - 9781441999818 (hbk. : alk. paper) U1 - 514.3 23 PY - 2013/// CY - New York, London PB - Springer KW - Manifolds (Mathematics)---Global Differential Geometry--Cell Aggregation N1 - 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 ER -