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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Bibliographic Details

Title: Introduction to Differential Geometry for Engineers (Paperback)
Publisher: Dover Publications, New York
Publication Date: 2012
Language: English
ISBN 10: 0486488160
ISBN 13: 9780486488165
Binding: Paperback
Condition: new

About this title

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.

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.

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