Manifolds and differential geometry / Jeffrey M. Lee.

Author
Lee, Jeffrey M. (Jeffrey Marc), 1956- [Browse]
Format
Book
Language
English
Published/​Created
Providence, R.I. : American Mathematical Society, c2009.
Description
xiv, 671 p. : ill. ; 27 cm.

Details

Subject(s)
Series
Graduate studies in mathematics ; v. 107. [More in this series]
Bibliographic references
Includes bibliographical references and index.
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.
ISBN
  • 9780821848159 (alk. paper)
  • 0821848151 (alk. paper)
LCCN
2009012421
OCLC
317623289
RCP
N - S