Ordinary differential equations with applications / Carmen Chicone
- 作者： Chicone, Carmen Charles.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： New York : Springer c1999
- 叢書名： Texts in applied mathematics ;34
- 主題： Differential equations
- ISBN： 9780387226231 (electronic bk.) 、 9780387985350 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167328 | 機讀編目格式
館藏資訊
This book is based on a two-semester course in ordinary di?erential eq- tions that I have taught to graduate students for two decades at the U- versity of Missouri. The scope of the narrative evolved over time from an embryonic collection of supplementary notes, through many classroom tested revisions, to a treatment of the subject that is suitable for a year (or more) of graduate study. If it is true that students of di?erential equations giveaway their point of viewbythewaytheydenotethederivativewith respecttotheindependent variable, then the initiated reader can turn to Chapter 1, note that I write x ?,not x , and thus correctly deduce that this book is written with an eye toward dynamical systems. Indeed, this book contains a thorough int- duction to the basic properties of di?erential equations that are needed to approach the modern theory of (nonlinear) dynamical systems. However, this is not the whole story. The book is also a product of my desire to demonstrate to my students that di?erential equations is the least insular of mathematical subjects, that it is strongly connected to almost all areas of mathematics, and it is an essential element of applied mathematics.