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Titlebook: Introduction to Perturbation Methods; Mark H. Holmes Textbook 19951st edition Springer-Verlag New York, Inc. 1995 Perturbation Methods.app

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书目名称Introduction to Perturbation Methods
编辑Mark H. Holmes
视频video
丛书名称Texts in Applied Mathematics
图书封面Titlebook: Introduction to Perturbation Methods;  Mark H. Holmes Textbook 19951st edition Springer-Verlag New York, Inc. 1995 Perturbation Methods.app
描述This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.
出版日期Textbook 19951st edition
关键词Perturbation Methods; applied mathematics; bifurcation; convergence; differential equation; homogenizatio
版次1
doihttps://doi.org/10.1007/978-1-4612-5347-1
isbn_ebook978-1-4612-5347-1Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer-Verlag New York, Inc. 1995
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Springer-Verlag New York, Inc. 1995
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Multiple Scales,f this is that what may start out as an ordinary differential equation is transformed into a partial differential equation. Exactly why this helps to solve the problem, rather than make it harder, will be discussed as the method is developed in this chapter.
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Textbook 19951st editionineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introducto
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Textbook 19951st edition also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.
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Introduction to Asymptotic Approximations,to start things off it is worth considering a typical physical problem to illustrate where the mathematical problems originate. A simple example comes from the motion of an object projected radially upward from the surface of the Earth.
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