DIFFERENTIABLE MANIFOLDS BOOTHBY PDF

William M. Boothby , William Munger Boothby. The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in 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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Description This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue to serve as the standard text for students and professionals in the field.

Differential manifolds are the underlying objects of study in much of advanced calculus and analysis. Topics such as line and surface integrals, divergence and curl of vector fields, and Stoke's and Green's theorems find their most natural setting in manifold theory.

Riemannian plane geometry can be visualized as the geometry on the surface of a sphere in which "lines" are taken to be great circle arcs.

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

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