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Introduction to Differential Geometry for Engineers (Dover Civil and Mechanical Engineering) - Softcover
Synopsis
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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About the Author
Brian 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.
"About this title" may belong to another edition of this title.
- PublisherDover Publications
- Publication date2012
- ISBN 10 0486488160
- ISBN 13 9780486488165
- BindingPaperback
- LanguageEnglish
- Number of pages176
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Paperback. Condition: new. Paperback. This book acquaints engineers with the basic concepts and terminology of modern global differential geometry. It introduces the Lie theory of differential equations and examines the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, and vector fields. 1990 edition. Acquaints engineers with basic concepts and terminology of modern global differential geometry. It introduces the Lie theory of differential equations and examines the role of Grassmannians in control systems analysis. 1990 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486488165
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