Introduction to Differential Geometry for Engineers (Dover Civil and Mechanical Engineering)

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Introduction to Differential Geometry for Engineers (Dover Civil and Mechanical Engineering) image
ISBN-10:

0486488160

ISBN-13:

9780486488165

Released: Jul 17, 2012
Format: Paperback, 176 pages
Related ISBN: 9780824783969

Description:

This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

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