Foundations of Differentiable Manifolds and Lie Groups
Foundations of Differentiable Manifolds and Lie Groups Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory…
Specifikacia Foundations of Differentiable Manifolds and Lie Groups
Foundations of Differentiable Manifolds and Lie Groups
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. 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. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds.