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Springer Foundations of Differentiable Manifolds and Lie Groups

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Description

Foundations of Differentiable Manifolds and Lie Groups by Springer provides a clear and detailed development of manifold theory and Lie Groups. This text is part of the Graduate Texts in Mathematics series (94) and offers a careful approach to complex mathematical concepts. Readers will find comprehensive coverage of differentiable manifolds, tensors, and differentiable forms. The book explores Lie groups, homogenous spaces, and integration on manifolds. It also includes a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators, leading to a proof of the Hodge theorem. This resource is designed for those interested in any mathematical area that requires the use of differentiable manifolds.

Key Features

This Springer publication provides a clear and careful development of the basic facts regarding manifold theory and Lie Groups.

The text covers essential topics including differentiable manifolds, tensors, and differentiable forms for advanced study.

Detailed mathematical explorations include Lie groups, homogenous spaces, and the process of integration on manifolds.

The book includes a proof of the de Rham theorem using sheaf cohomology theory for mathematical depth.

Readers can study the local theory of elliptic operators which culminates in a proof of the Hodge theorem.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 December 2010
Listed Since
14 June 2010

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