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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.
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Table of contents (6 chapters)
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Bibliographic Information
Book Title: Foundations of Differentiable Manifolds and Lie Groups
Authors: Frank W. Warner
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-1799-0
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Frank W. Warner 1983
Hardcover ISBN: 978-0-387-90894-6Published: 10 October 1983
Softcover ISBN: 978-1-4419-2820-7Published: 01 December 2010
eBook ISBN: 978-1-4757-1799-0Published: 11 November 2013
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: X, 276
Additional Information: Originally published by Scott, Foresman & Company, 1971
Topics: Algebra, Manifolds and Cell Complexes (incl. Diff.Topology), Topological Groups, Lie Groups