Printer Friendly

Manifolds and differential geometry.

9780821848159

Manifolds and differential geometry.

Lee, Jeffrey M.

American Mathematical Society

2009

671 pages

$89.00

Hardcover

Graduate studies in mathematics; v.107

QA641

This text for graduate students and research mathematicians progresses from differentiable manifolds and the tangent structure through the local Frobenius theorem, covariant derivatives, and Riemannian and semi-Riemannian geometry. An unusual feature of the book is the inclusion of an early chapter on the differential geometry of hypersurfaces in Euclidean space. The text includes worked examples and chapter problems ranging in difficulty, and 30 pages of appendices on category theory, topology, calculus theorems, and modules and multilinearity. The first chapters of the book are suitable for a one-semester course on manifolds. There is ample material for a year-long course on manifolds and geometry. Lee is affiliated with the Department of Mathematics and Statistics at Texas Tech University.

([c]2010 Book News, Inc., Portland, OR)

COPYRIGHT 2010 Book News, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2010 Gale, Cengage Learning. All rights reserved.

 
Article Details
Printer friendly Cite/link Email Feedback
Publication:SciTech Book News
Article Type:Brief article
Date:Mar 1, 2010
Words:147
Previous Article:A modern introduction to linear algebra.
Next Article:Hawk Mountain; the world's first raptor sanctuary.
Topics:

Terms of use | Privacy policy | Copyright © 2018 Farlex, Inc. | Feedback | For webmasters