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Fundamentals of Dynamical Systems and Bifurcation Theory
Milan Medved̕
出版CRC Press, 1992-05-21
主題Mathematics / Differential Equations / General
ISBN07503015039780750301503
URLhttp://books.google.com.hk/books?id=ViCs4nzHkK8C&hl=&source=gbs_api
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註釋This graduate level text explains the fundamentals of the theory of dynamical systems. After reading it you will have a good enough understanding of the area to study the extensive literature on dynamical systems.
The book is self contained, as all the essential definitions and proofs are supplied, as are useful references: all the reader needs is a knowledge of basic mathematical analysis, algebra and topology. However, the first chapter contains an explanation of some of the methods of differential topology an understanding of which is essential to the theory of dynamical systems.
A clear introduction to the field, which is equally useful for postgraduates in the natural sciences, engineering and economics.