书目名称 | Ordinary Differential Equations with Applications | 编辑 | Carmen Chicone | 视频video | | 概述 | Many new exercises added | 丛书名称 | Texts in Applied Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Textbook 19991st edition | 关键词 | bifurcation; derivative; differential equation; dynamical systems; ordinary differential equation; stabil | 版次 | 1 | doi | https://doi.org/10.1007/b97645 | isbn_ebook | 978-0-387-22623-1Series ISSN 0939-2475 Series E-ISSN 2196-9949 | issn_series | 0939-2475 | copyright | Springer Science+Business Media New York 1999 |
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