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Mathematics Information Resource Centre, Department of Mathematics, IISc, Bangalore.

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Introduction to smooth manifolds / by John M. Lee.

By: Material type: TextTextSeries: Graduate texts in mathematics ; 218.Publication details: New York ; London : Springer, 2013.Edition: 2nd edISBN:
  • 9781441999818 (hbk. : alk. paper)
  • 1441999817 (hbk. : alk. paper)
  • 9781441999825 (ebk.)
Subject(s): DDC classification:
  • 514.34 23
LOC classification:
  • QA613 .L44 2013
  • QA613
Online resources:
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 Home library Collection Call number Copy number Status Date due Barcode
Book Book MATH-LiB General Stack MATH-LiB NFIC 514.34 JOH/I (Browse shelf(Opens below)) Checked out 01/28/2023 CP4990
Book Book MATH-LiB General Stack MATH-LiB NFIC 514.3 P13 (Browse shelf(Opens below)) 1 Checked out 12/25/2022 197581
Total holds: 0

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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