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Manifolds and differential geometry

By: Material type: TextTextSeries: Graduate studies in mathematics ; v. 107.Publication details: Hyderabad : American Mathematical Society, ©2009.Description: xiv, 671 p. : ill. ; 27 cmISBN:
  • 9780821887134
Subject(s): DDC classification:
  • 516.36 22 LEE-M
LOC classification:
  • QA641 .L38 2009
Contents:
Differentiable manifolds -- The tangent structure -- Immersion and submersion -- Curves and hypersurfaces in Euclidean space -- Lie groups -- Fiber bundles -- Tensors -- Differential forms -- Integration and Stokes' theorem -- De Rham cohomology -- Distributions and Frobenius' theorem -- Connections and covariant derivatives -- Riemannian and semi-Riemannian geometry -- Appendix A: The language of category theory -- Appendix B: Topology -- Appendix C: Some calculus theorems -- Appendix D: Modules and multilinearity.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD General Stacks Mathematics 516.36 LEE-M (Browse shelf(Opens below)) Available 008427
Total holds: 0

Includes bibliographical references and index.

Differentiable manifolds -- The tangent structure -- Immersion and submersion -- Curves and hypersurfaces in Euclidean space -- Lie groups -- Fiber bundles -- Tensors -- Differential forms -- Integration and Stokes' theorem -- De Rham cohomology -- Distributions and Frobenius' theorem -- Connections and covariant derivatives -- Riemannian and semi-Riemannian geometry -- Appendix A: The language of category theory -- Appendix B: Topology -- Appendix C: Some calculus theorems -- Appendix D: Modules and multilinearity.

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