Description

The second edition of this text 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.

Key Features

Line and surface integrals Divergence and curl of vector fields

Readership

Advanced undergraduate and graduate students in mathematics. Engineers in control theory, plus physicists and economists.

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; Index

Details

No. of pages:
400
Language:
English
Copyright:
© 2003
Published:
Imprint:
Academic Press
Electronic ISBN:
9780080574752
Print ISBN:
9780121160517

About the author

William Boothby

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).