E-Book, Englisch, Band 34, 563 Seiten, eBook
Reihe: Texts in Applied Mathematics
Chicone Ordinary Differential Equations with Applications
Erscheinungsjahr 2008
ISBN: 978-0-387-22623-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 34, 563 Seiten, eBook
Reihe: Texts in Applied Mathematics
ISBN: 978-0-387-22623-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
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Professional/practitioner
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Weitere Infos & Material
to Ordinary Differential Equations.- Linear Systems and Stability.- Applications.- Hyperbolic Theory.- Continuation of Periodic Solutions.- Homoclinic Orbits, Melnikov’s Method, and Chaos.- Averaging.- Local Bifurcation.
