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Foundations of Differentiable Manifolds and Lie Groups

Foundations of Differentiable Manifolds and Lie Groups - 87 edition

ISBN13: 978-0387908946

Cover of Foundations of Differentiable Manifolds and Lie Groups 87 (ISBN 978-0387908946)
ISBN13: 978-0387908946
ISBN10: 0387908943
Cover type:
Edition/Copyright: 87
Publisher: Springer-Verlag New York
Published: 1987
International: No

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Foundations of Differentiable Manifolds and Lie Groups - 87 edition

ISBN13: 978-0387908946

Frank W. Warner

ISBN13: 978-0387908946
ISBN10: 0387908943
Cover type:
Edition/Copyright: 87
Publisher: Springer-Verlag New York

Published: 1987
International: No
Summary

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.

Author Bio

Warner, Frank W. : University of Pennsylvania

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