An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

This revised edition of William Boothby's classic introduction to differentiable manifolds includes updated references and indices and error corrections.

Autorentext
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).

Klappentext

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.

Line and surface integrals
Divergence and curl of vector fields

Zusammenfassung
Serves as an introduction to the subject of Differentiable Manifolds and Riemannian Geometry for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. This book also reviews certain areas of advanced calculus that are necessary to understand the subject.

Inhalt

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