Normal view MARC view ISBD view

Introduction to smooth manifolds / John M. Lee.

By: Lee, John M, 1950-.
Material type: TextTextSeries: Graduate texts in mathematics: 218.Publisher: New York ; London : Springer, 2013Edition: 2nd ed.Description: xv, 708 p., E 79.95 ill. ; 24 cm.ISBN: 9781441999818 (hbk. : alk. paper); 1441999817 (hbk. : alk. paper); 9781441999825 (ebk.).Subject(s): Manifolds (Mathematics)DDC classification: 514.34
Contents:
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.
List(s) this item appears in: Reserved for the semester Aug-Nov 2016.

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.