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Ordinary Differential Equations
J. Kurzweil
其他書名
Introduction to the Theory of Ordinary Differential Equations in the Real Domain
出版Elsevier, 2014-06-28
主題Mathematics / Differential Equations / OrdinaryMathematics / Calculus
ISBN14832976599781483297651
URLhttp://books.google.com.hk/books?id=Wc_SBQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.