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Nonlinear differential equations
Autor: Svatopluk Fučík, Alois Kufner, Michal Basch
Rok: 1986
ISBN: 9780444417589
ISBN: 9780444995094
OCLC Number: (OCoLC)605221785
OCLC Number: (ocolc)13333796
OCLC Number: (ocolc)467962878
OCLC Number: (ocolc)605221785
OKCZID: 110343672
Citace (dle ČSN ISO 690):
KURZWEIL, Jaroslav. Ordinary differential equations: introduction to the theory of ordinary differential equations in the real domain. Překlad Michal BASCH. New York: Elsevier, 1986. 440 s. Studies in applied mechanics, 13.
Anotace
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, Caratheodory'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.