Document Type
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BL
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Record Number
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587158
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Doc. No
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b416377
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Main Entry
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Lee, Jeffrey M., (Jeffrey Marc),1956-
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Title & Author
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Manifolds and differential geometry /\ Jeffrey M. Lee
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Series Statement
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Graduate studies in mathematics ;; v. 107
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Page. NO
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xiv, 671 pages :: illustrations ;; 27 cm
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ISBN
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9780821848159 (alk. paper)
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: 0821848151 (alk. paper)
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Bibliographies/Indexes
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Includes bibliographical references and index
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Contents
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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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Subject
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Geometry, Differential
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Subject
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Topological manifolds
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Subject
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Riemannian manifolds
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Dewey Classification
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516.3/6
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LC Classification
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QA641.L38 2009
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