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＜電子ブック＞
Foundations of Differentiable Manifolds and Lie Groups / by Frank W. Warner
(Graduate Texts in Mathematics. ISSN:21975612 ; 94)

版	1st ed. 1983.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1983
本文言語	英語
大きさ	X, 276 p : online resource
著者標目	*Warner, Frank W author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Manifolds (Mathematics) LCSH:Topological groups LCSH:Lie groups FREE:Algebra FREE:Manifolds and Cell Complexes FREE:Topological Groups and Lie Groups
一般注記	1 Manifolds -- 2 Tensors and Differential Forms -- 3 Lie Groups -- 4 Integration on Manifolds -- 5 Sheaves, Cohomology, and the de Rham Theorem -- 6 The Hodge Theorem -- Supplement to the Bibliography -- Index of Notation Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful HTTP:URL=https://doi.org/10.1007/978-1-4757-1799-0

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