Volume 120. An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

2nd Edition


  • William Boothby
  • An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

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    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


    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


    No. of pages:
    © 2003
    Academic Press
    Print ISBN:
    Electronic ISBN:

    About the editor

    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.