Ordinary Differential Equations (Dover Books on Mathematics) (Paperback)

Ordinary Differential Equations (Dover Books on Mathematics) By Jack K. Hale Cover Image

Ordinary Differential Equations (Dover Books on Mathematics) (Paperback)

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Based on a Brown University course in applied mathematics, this rigorous and demanding treatment focuses on specific analytical methods. It emphasizes nonlinear problems, acquainting readers with problems and techniques in ordinary differential equations. The material is presented in a manner that prepares students for informed research of differential equations, teaching them how to be more effective in studies of the current literature. In addressing the applied side of the subject, the text devotes considerable attention to specific analytical methods common to applications.
Introductory chapters offer necessary background material by reviewing basic facts of analysis and covering the general properties of differential equations. Topics include two-dimensional systems, linear systems and linearization, perturbations of noncritical linear systems, simple oscillatory phenomena and the method of averaging, and behavior near a periodic orbit. Additional subjects include integral manifolds of equations with a small parameter, periodic systems with a small parameter, alternative problems for the solution of functional equations, and the direct method of Liapunov. Exercises appear at the end of each chapter, and the appendix contains a convenient reference for almost every periodic functions.
A longtime professor at Brown University, Jack K. Hale is a Regents Professor Emeritus at the Georgia Institute of Technology.
Product Details ISBN: 9780486472119
ISBN-10: 0486472116
Publisher: Dover Publications
Publication Date: May 1st, 2009
Pages: 384
Language: English
Series: Dover Books on Mathematics