Manifolds and differential geometry
Material type: TextSeries: Graduate studies in mathematics ; v. 107.Publication details: Hyderabad : American Mathematical Society, ©2009.Description: xiv, 671 p. : ill. ; 27 cmISBN:- 9780821887134
- 516.36 22 LEE-M
- QA641 .L38 2009
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | IIITD General Stacks | Mathematics | 516.36 LEE-M (Browse shelf(Opens below)) | Available | 008427 |
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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