Item description for Ordinary Differential Equations with Applications (Series on Applied Mathematics, Vol. 16) (Series on Applied Mathematics, V. 16) by Sze-Bi Hsu...
During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE). This useful book, which is based around the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques. Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook or as a valuable resource for researchers.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 8.8" Width: 6" Height: 0.8" Weight: 1.05 lbs.
Release Date Feb 28, 2006
Publisher World Scientific Publishing Company
ISBN 9812563199 ISBN13 9789812563194
Reviews - What do customers think about Ordinary Differential Equations with Applications (Series on Applied Mathematics, Vol. 16) (Series on Applied Mathematics, V. 16)?
ODEs with Applications by Sze-Bi Hsu Jul 6, 2006
This book is based on the authors lecture notes, which he claims is the result of twenty years experience in teaching the material. The selection of topics is quite standard for an advanced undergraduate course, including a discussion of existence/uniqueness/cintinuous dependence results, linear systems and stability, Liapunov methods, second-order equations and Sturm-Liouville theory. The last two chapters discuss more advanced results including an introduction to index theory and Brouwer degree and pertubation theory. In my opinion, this is a rather slight content for a full-year graduate course as intended by the author. It would need to be significantly supplemented by more advanced topics for this purpose. A more serious issue is the standard of presentation of the book. On almost every page there are glaring examples of the authors inadequate command of the need to use the indefinite articles, a, an, the. This book would have benefitted from a much more careful editing. These omissions cause significant annoyance when reading the text. In fact, this is one of the few books I have purchased that I have considered returning and seeking a refund.