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Titlebook: Differential Equations: Theory and Applications; with Maple® David Betounes Textbook 20011st edition Springer Science+Business Media New Yo

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书目名称Differential Equations: Theory and Applications
副标题with Maple®
编辑David Betounes
视频video
图书封面Titlebook: Differential Equations: Theory and Applications; with Maple® David Betounes Textbook 20011st edition Springer Science+Business Media New Yo
描述This book was written as a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as time-honored and important applications of this theory. His­ torically, these were the applications that spurred the development of the mathematical theory and in hindsight they are still the best applications for illustrating the concepts, ideas, and impact of the theory. While the book is intended for traditional graduate students in mathe­ matics, the material is organized so that the book can also be used in a wider setting within today‘s modern university and society (see "Ways to Use the Book" below). In particular, it is hoped that interdisciplinary programs with courses that combine students in mathematics, physics, engineering, and other sciences can benefit from using this text. Working professionals in any of these fields should be able to profit too by study of this text. An important, but optional component of the book (based on the in­ structor‘s or reader‘s preferences) is its computer material. The book is one of the few graduate differential equations texts that use the computer to enhance the concepts and theory
出版日期Textbook 20011st edition
关键词Elementary Analysis; Implicit function; calculus; differential equation; ordinary differential equation
版次1
doihttps://doi.org/10.1007/978-1-4757-4971-7
isbn_ebook978-1-4757-4971-7
copyrightSpringer Science+Business Media New York 2001
The information of publication is updating

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Stability Theory,65], [Bel 53], [Mer 97]). This chapter provides an introduction to the subject, giving first a few results about stability of fixed points and then a brief discussion of stability of periodic solutions (also called cycles or closed integral curves).
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Hamiltonian Systems,Hamiltonian systems, but now there are many additional features of the system, like conservation laws, a symplectic structure, and Poisson brackets, that enable us to study such systems in more detail.
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al systems as time-honored and important applications of this theory. His­ torically, these were the applications that spurred the development of the mathematical theory and in hindsight they are still the best applications for illustrating the concepts, ideas, and impact of the theory. While the bo
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https://doi.org/10.1007/978-1-59259-287-6Hamiltonian systems, but now there are many additional features of the system, like conservation laws, a symplectic structure, and Poisson brackets, that enable us to study such systems in more detail.
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