Foundations of Differentiable Manifolds and Lie Groups

Frank W. Warner

2013 թ. նոյ · Graduate Texts in Mathematics Գիրք 94 · Springer Science & Business Media

Այս էլ․ գրքի մասին

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.