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OverviewThis 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. Full Product DetailsAuthor: Brian F Doolin , Clyde F Martin , Engineering , B F DoolinPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.70cm , Height: 1.50cm , Length: 21.60cm Weight: 0.181kg ISBN: 9780486488165ISBN 10: 0486488160 Pages: 176 Publication Date: 19 June 2012 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface List of Figures 1. Introduction 2. Manifolds and Their Maps 3. Tangent Spaces 4. Vector Fields 5. Exterior Algebra 6. Lie Groups and Actions 7. Homogeneous Spaces 8. Grassmannian Techniques 9. Concluding Remarks 10. Appendix: Vector Calculus Bibliography IndexReviewsAuthor InformationBrian F. Doolin (1925-2009) was an engineer with NASA as well as Lockheed. At NASA he was a leader of the Control Theory and Applications Group. Clyde F. Martin is Paul Whitfield Horn Professor of Mathematics at Texas Tech University. Tab Content 6Author Website:Countries AvailableAll regions |
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