TY  - BOOK
AU  - Lee,John M.
TI  - Introduction to smooth manifolds
SN  - 1441999817
U1  - 514.3 
PY  - 2013///
CY  - New York
PB  - Springer
KW  - SMOOTH AND PARTIAL LINEAR MANNIGINITIES (TOPOLOGY)
KW  - TEXTBOOKS (DOCUMENT TYPE)
KW  - LIE GROUP (ALGEBRA)
N1  - Includes index and references; Preface.- 
1 Smooth Manifolds.- 
2 Smooth Maps.- 
3 Tangent Vectors.- 
4 Submersions, Immersions, and Embeddings.- 
5 Submanifolds.- 
6 Sard's Theorem.- 
7 Lie Groups.- 
8 Vector Fields.- 
9 Integral Curves and Flows.- 
10 Vector Bundles.- 
11 The Cotangent Bundle.- 
12 Tensors.- 
13 Riemannian Metrics.- 
14 Differential Forms.- 
15 Orientations.- 
16 Integration on Manifolds.- 
17 De Rham Cohomology.- 
18 The de Rham Theorem.- 
19 Distributions and Foliations.- 
20 The Exponential Map.- 
21 Quotient Manifolds.- 
22 Symplectic Manifolds.-
ER  -