Introduction to smooth manifolds/
Lee,John M.
Introduction to smooth manifolds/ John M. Lee - 2nd. ed. - New York : Springer, 2013. - xv,708p. : ill. ; 24cm. - Graduate texts in mathematics, 218. .
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.-
1441999817 9781441999818
SMOOTH AND PARTIAL LINEAR MANNIGINITIES (TOPOLOGY).
TEXTBOOKS (DOCUMENT TYPE).
LIE GROUP (ALGEBRA).
514.3 / LEE/I
Introduction to smooth manifolds/ John M. Lee - 2nd. ed. - New York : Springer, 2013. - xv,708p. : ill. ; 24cm. - Graduate texts in mathematics, 218. .
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.-
1441999817 9781441999818
SMOOTH AND PARTIAL LINEAR MANNIGINITIES (TOPOLOGY).
TEXTBOOKS (DOCUMENT TYPE).
LIE GROUP (ALGEBRA).
514.3 / LEE/I