Introduction to smooth manifolds

Lee, John M., 1950-

Introduction to smooth manifolds - New York: Springer, 2003. - xvii, 628 p. : il. ; - Graduate texts in mathematics no. 218 . - Graduate texts in mathematics no. 218 .

Tabla de contenido:
Smooth Manifolds
Smooth Maps
Tangent Vectors
Vector Fields
Vector Bundles
The Cotangent Bundle
Submersions, Immersions, and Embeddings
Submanifolds
Lie Groups Actions
Embedding and Approximation Theorems
Tensors
Differential Forms
Orientations
Integration on Manifolds
De Rham Cohomology
The de Rham Theorem
Integral Curves and Flows
Lie Derivatives
Integral Manifolds and Foliations
Lie Groups and Their Lie Algebras
Appendix: Review of Prerequisites - References - Index

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Manifolds (Mathematics)