Biblioteca Univ. Surcolombiana

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An introduction to manifolds Loring W. Tu

By: Tu, Loring W [].
Series: Universitext.New York Springer ©2011Edition: Second edition.Description: xviii, 410 pages illustrations 23 cm.ISBN: 9781441973993 (acidfree paper); 9781441974006 (ebook).Subject(s): Manifolds (mathematics) | Colectores (matemáticas)DDC classification: 516.07
Contents:
Euclidean Spaces -- Smooth functions on a Euclidean space -- Tangent vectors in R" as derivations -- The exterior algebra of multicovectors -- Differential forms on R" -- Manifolds -- Smooth maps on a manifolds -- Quotients -- The tangend space -- Submanifields -- Categories and fructors -- The rank of a smooth map -- The tangent bundle -- Bump functions and partitions of unity -- Vector fields -- Lie groups and lie algebra -- Lie groups -- Lie algebras -- Differential forms -- The exterior derivative -- The lie derivative and interior multiplication -- Integration -- Orientations -- Manifolds with boundary -- Integration on manifolds -- De Rham theory -- the long exact sequence in cohomology -- Computation of de Rham cohomology -- Proof of Homotopy invariance -- References --
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Item type Current location Collection Call number Vol info Copy number Status Date due Barcode Item holds
Libros Libros Biblioteca Central
General 516.07 T790i (Browse shelf) Ej. 2 Available 900000022014
Libros Libros Biblioteca Central
Book Cart 		General 516.07 / T790i (Browse shelf) 2011/Segunda edición Ej. 1 Available 900000012078
Total holds: 0

Includes bibliographical references (p. [395]-396) and index.

Euclidean Spaces -- Smooth functions on a Euclidean space -- Tangent vectors in R" as derivations -- The exterior algebra of multicovectors -- Differential forms on R" -- Manifolds -- Smooth maps on a manifolds -- Quotients -- The tangend space -- Submanifields -- Categories and fructors -- The rank of a smooth map -- The tangent bundle -- Bump functions and partitions of unity -- Vector fields -- Lie groups and lie algebra -- Lie groups -- Lie algebras -- Differential forms -- The exterior derivative -- The lie derivative and interior multiplication -- Integration -- Orientations -- Manifolds with boundary -- Integration on manifolds -- De Rham theory -- the long exact sequence in cohomology -- Computation of de Rham cohomology -- Proof of Homotopy invariance -- References --

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