An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised


  • William Boothby, Washington University, Saint Louis, Missouri, U.S.A.


  • William Boothby, Washington University, Saint Louis, Missouri, U.S.A.

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


Book information

  • Published: August 2002
  • ISBN: 978-0-12-116051-7

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