Stories about maxima and minima. Transl. from the Russian by Abe Shenitzer. (English) Zbl 0746.49001

Mathematical World 1. Providence, RI: American Mathematical Society; Washington, DC: Mathematical Association of America (ISBN 978-0-8218-0165-9/print; 978-1-4704-2469-5/ebook). xi, 187 p. (1990).
The book contains a survey of the history, nature and methods of solving optimization problems. The author uses a popular form for the exposition, mostly without proofs. The book is primarily addressed to students and teachers of mathematics.
It is divided into two parts. The first part consists of ancient problems, posed and solved, as a rule, before the invention of the first general methods. In the second part some of the methods of the theory of extremal problems are discussed (the Lagrange multiplier rule, the calculus of variation, the elements of convex analysis and the Pontryagin maximum principle for problems of optimal control).


49-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control
90-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
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