Introduction to smooth manifolds / John M. Lee.

Author/creator Lee, John M., 1950-
Format Electronic
Edition2nd ed.
Publication InfoNew York ; London : Springer,
Descriptionxv, 708 p. : ill. ; 24 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesGraduate texts in mathematics ; 218
Graduate texts in mathematics ; 218. ^A638225
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.
Bibliography noteIncludes bibliographical references (p. 675-677) and indexes.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2012945172
ISBN9781441999818 (hbk. : alk. paper)
ISBN1441999817 (hbk. : alk. paper)
ISBN9781441999825 (ebk.)