Introduction to Minimax (Dover Books on Mathematics) by V. F. Dem’yanov (PDF)

Description

This user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming, both linear and nonlinear. Written by two distinguished mathematicians, the expert treatment covers the essentials, incorporating important background materials, examples, and extensive notes.Geared toward advanced undergraduate and graduate students of mathematical programming, the text explores best approximation by algebraic polynomials in both discrete and continuous cases; the discrete problem, with and without constraints; the generalized problem of nonlinear programming; and the continuous minimax problem. Several appendixes discuss algebraic interpolation, convex sets and functions, and other topics. 1974 edition.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

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⭐Long years the book continues to remain one of the best introductions in area of nonsmooth optimization. There are regarded the theorems and algorithms, which allow to track and to understand the basic ideas of the decision of minimax problems. It begins with a careful consideration of discrete and continuous variants of a classical problem of the uniform (Chebyshev) approximation by polynomials. Further wider class of problems of nonsmooth optimization, minimax problems, is not less accurately studied.

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