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Introduction to smooth manifolds John M. Lee.

By: Series: Graduate texts in mathematics ; 218.Publication details: New York ; London : Springer, 2013.Edition: 2nd EditionDescription: xv, 708 p. : ill. ; 24 cmISBN:
  • 9781441999818 (hbk. : alk. paper)
  • 1441999817 (hbk. : alk. paper)
  • 9781441999825 (ebk.)
Subject(s): DDC classification:
  • 514.34 L513I2 23
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.
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Holdings
Item type Current library Collection Call number Status Notes Date due Barcode
Books Books Central Library, IISER Bhopal General Section 514.34 L513I2 (Browse shelf(Opens below)) Available 8147
Books Books Central Library, IISER Bhopal Reference Section Reference 514.34 L513I2 (Browse shelf(Opens below)) Not For Loan Reserve 8053

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.

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