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Titlebook: Ordinary Differential Equations with Applications; Carmen Chicone Textbook 19991st edition Springer Science+Business Media New York 1999 b

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發(fā)表于 2025-3-21 19:07:58 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Ordinary Differential Equations with Applications
編輯Carmen Chicone
視頻videohttp://file.papertrans.cn/704/703684/703684.mp4
概述Many new exercises added
叢書名稱Texts in Applied Mathematics
圖書封面Titlebook: Ordinary Differential Equations with Applications;  Carmen Chicone Textbook 19991st edition Springer Science+Business Media New York 1999 b
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
關(guān)鍵詞bifurcation; derivative; differential equation; dynamical systems; ordinary differential equation; stabil
版次1
doihttps://doi.org/10.1007/b97645
isbn_ebook978-0-387-22623-1Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

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Textbook 19991st editiony 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 giveaw
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,Homoclinic Orbits, Melnikov’s Method, and Chaos, orbits in an infinite sequence that approaches the boundary of the period annulus. The subject of this chapter is a perturbation theory that is valid at the boundary of the period annulus. When the theory is applied, the amplitude of the perturbation is only required to be sufficiently small once.
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Textbook 19991st editionthis 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.
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We have applied our approach in a split test of a real-world search engine interface. Results show that we are able to effectively detect even subtle differences in usability. Moreover, WaPPU can learn usability models of reasonable prediction quality, from which we also derived interaction-based he
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