Brian F. Doolin, Clyde F. Martin

Introduction to Differential Geometry for Engineers (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 176
• Erscheinungstermin: 15. April 2013
• Englisch
• ISBN-13: 9780486281940
• Artikelnr.: 39550118

Autorenporträt

Brian F. Doolin and Clyde F. Martin

Inhaltsangabe

Preface 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 Index

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