Foundations of Differentiable Manifolds and Lie Groups / Edition 1

by Frank W. Warner

Overview

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.

Product Details

ISBN-13:	9781441928207
Publisher:	Springer New York
Publication date:	12/01/2010
Series:	Graduate Texts in Mathematics , #94
Edition description:	Softcover reprint of hardcover 1st ed. 1983
Pages:	276
Product dimensions:	6.10(w) x 9.20(h) x 0.70(d)

Table of Contents

1 Manifolds.- 2 Tensors and Differential Forms.- 3 Lie Groups.- 4 Integration on Manifolds.- 5 Sheaves, Cohomology, and the de Rham Theorem.- 6 The Hodge Theorem.- Supplement to the Bibliography.- Index of Notation.