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Introduction to smooth manifolds/ John M. Lee

By: Lee,John M Material type: Text

TextSeries: Graduate texts in mathematics, 218Publication details: New York : Springer, 2013Edition: 2nd. edDescription: xv,708p. : ill. ; 24cmISBN: 1441999817; 9781441999818Subject(s): SMOOTH AND PARTIAL LINEAR MANNIGINITIES (TOPOLOGY) | TEXTBOOKS (DOCUMENT TYPE) | LIE GROUP (ALGEBRA)DDC classification: 514.3

Contents:

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.-

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	514.3 LEE/I (Browse shelf(Opens below))	Available		P39416

Total holds: 0

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.-

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