9780486462486-048646248X-Ordinary Differential Equations (Dover Books on Mathematics)

Ordinary Differential Equations (Dover Books on Mathematics)

ISBN-13: 9780486462486
ISBN-10: 048646248X
Author: Mathematics, Richard K. Miller, Anthony N. Michel
Publication date: 2007
Publisher: Dover Publications
Format: Paperback 368 pages
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Book details

ISBN-13: 9780486462486
ISBN-10: 048646248X
Author: Mathematics, Richard K. Miller, Anthony N. Michel
Publication date: 2007
Publisher: Dover Publications
Format: Paperback 368 pages

Summary

Ordinary Differential Equations (Dover Books on Mathematics) (ISBN-13: 9780486462486 and ISBN-10: 048646248X), written by authors Mathematics, Richard K. Miller, Anthony N. Michel, was published by Dover Publications in 2007. With an overall rating of 3.8 stars, it's a notable title among other Applied (Mathematics) books. You can easily purchase or rent Ordinary Differential Equations (Dover Books on Mathematics) (Paperback) from BooksRun, along with many other new and used Applied books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.3.

Description

Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem.
Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.

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