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Catalogue Information
Field name	Details
Dewey Class	512.55
Title	Foundations of Differentiable Manifolds and Lie Groups ([EBook]) / by Frank W. Warner.
Author	Warner, Frank Wilson , 1938-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer New Y , 1983.
Physical Details	X, 276 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 94
ISBN	9781475717990
Note	Reprint. Originally published: Glenview, Ill. : Scott, Foresman, 1971.
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-1799-0
Links to Related Works	Subject References: Algebra . Complex manifolds . Differentiable manifolds . Lie groups . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Warner, Frank Wilson 1938- . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 512.55 .

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Foundations of Differentiable Manifolds and Lie Groups

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