TY - GEN AU - Lee,Jeffrey M. TI - Manifolds and differential geometry T2 - Graduate studies in mathematics SN - 9780821848159 (alk. paper) AV - QA641 U1 - 516.36 PY - 2009/// CY - Providence, R.I. PB - American Mathematical Society KW - Geometry, Differential KW - Topological manifolds KW - Riemannian manifolds N1 - Bibliografie p. 663 Index p. 667; 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 ER -