Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics, 94)
Product Description
Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics, 94)
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.
Technical Specifications
You might also like
Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics)
Riemannian Geometry
An Introduction to Manifolds: Second Edition (Universitext)
A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition
Algebraic Topology
Partial Differential Equations: Second Edition (Graduate Studies in Mathematics)
Geometrical Methods of Mathematical Physics
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics)
Algebraic Geometry (Graduate Texts in Mathematics)