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Foundations of differentiable manifolds and Lie groups

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Foundations of Differentiable Manifolds and Lie Groups - Warner, Frank W.
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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. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also 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.

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Foundations of Differentiable Manifolds and Lie Groups 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441928207

Paperback

Foundations of Differentiable Manifolds and Lie Groups 1983, Springer, New York, NY

ISBN-13: 9780387908946

1971 edition

Hardcover

Foundations of Differentiable Manifolds and Lie Groups 1971, Scott Foresman

ISBN-13: 9780673057372

Hardcover