An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

2nd Edition - August 5, 2002
  • Author: William Boothby
  • Paperback ISBN: 9780121160517

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Description

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.

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

Product details

  • No. of pages: 400
  • Language: English
  • Copyright: © Academic Press 2002
  • Published: August 5, 2002
  • Imprint: Academic Press
  • Paperback 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).

Affiliations and Expertise

Washington University, Saint Louis, Missouri, U.S.A.

About the Editor in Chief

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).

Affiliations and Expertise

Washington University, Saint Louis, Missouri, U.S.A.