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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. It covers line and surface integrals, divergence and curl of vector fields.
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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

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Line and surface integrals Divergence and curl of vector fields

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).

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