Manifolds and differential geometry / Jeffrey M. Lee.

By: Lee, Jeffrey M. (Jeffrey Marc), 1956-Material type: TextTextSeries: Graduate studies in mathematics ; v. 107.Publication details: Providence, R.I. : American Mathematical Society, c2009Description: xiv, 671 p. : ill. 24 cmSubject(s): Geometry, Differential | Topological manifolds | Riemannian manifoldsGenre/Form: Electronic books.Additional physical formats: Print version:: Manifolds and differential geometryDDC classification: 516.36 Online resources: Full text available from Graduate Studies in Mathematics Backfile
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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Item type Current library Call number Copy number Status Date due Barcode Item holds
Books Books Namal Library
Mathematics 		516.36 LEE-M 2013 11010 (Browse shelf (Opens below)) 1 Available 0011010
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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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