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Foundations of Differentiable Manifolds and Lie Groups : Graduate Texts in Mathematics - Frank W. Warner

Foundations of Differentiable Manifolds and Lie Groups

Graduate Texts in Mathematics

Hardcover Published: 10th October 1983
ISBN: 9780387908946
Number Of Pages: 276

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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.

Manifolds
Tensor and Differential Forms
Lie Groups
Integration on Manifolds
Sheaves, Cohomology, and the De Rahm Theorem
The Hodge Theorem
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387908946
ISBN-10: 0387908943
Series: Graduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 276
Published: 10th October 1983
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 1.91
Weight (kg): 0.57

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