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Fundamental Principles in the Theory of Extremal Problems

Vladimir Mikhaĭlovich Tikhomirov

出版	Wiley, 1986-11-17
主題	Mathematics / GeneralMathematics / CalculusMathematics / Mathematical AnalysisMathematics / Functional Analysis
ISBN	04719056319780471905639
URL	http://books.google.com.hk/books?id=Ri3vAAAAMAAJ&hl=&source=gbs_api

註釋

Featuring the most recent work carried out by the Russian school, this book describes concepts basic to all maxima-minima problems. It begins with results from convex analysis and differential calculus and proceeds to the important principles upon which most extremal problems are based: contraction mapping principles, the Banach principle, and the separation principles. Problems involving calculus of variations, optimal control, and convex programming are explored.