An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised / Edition 2

by William M. Boothby

Overview

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject.

Product Details

ISBN-13:	9780121160517
Publisher:	Elsevier Science
Publication date:	08/05/2002
Series:	Pure and Applied Mathematics , #120
Edition description:	Revised
Pages:	440
Sales rank:	987,962
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

William Boothby received his Ph.D. at the University of Michigan and was a professor of mathematics for over 40 years. In addition to teaching at Washington University, he taught courses in subjects related to this text at the University of Cordoba (Argentina), the University of Strasbourg (France), and the University of Perugia (Italy).

Table of Contents

Introduction to Manifolds Functions of Several Variables and Mappings Differentiable Manifolds and Submanifolds Vector Fields on a Manifold Tensors and Tensor Fields on Manifolds integration on Manifolds Differentiation on Riemannian Manifolds Curvature

Editorial Reviews

This textbook covers the essential concepts of differentiable manifold and Riemannian geometry, using detailed examples to walk the reader through the transition from Euclidean space to manifolds. Excessive abstraction and generalities are avoided. Chapters concentrate on manifolds, functions and mappings, submanifolds, vector fields, tensors, integration, differentiation, and curvature. Boothby teaches at Washington University in St. Louis. Annotation c. Book News, Inc., Portland, OR