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Optimization and Nonsmooth Analysis

Author: Frank H. Clarke | Size: 31.7 MB | Format: pdf | Quality: Original preprint | Publisher: Society for Industrial Mathematics | Year: January 1, 1987 | pages: 320 | ISBN: 0898712564, ISBN-13: 978-0898712568

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Mathematical Reviews said of this book that it was "destined to become a classical reference." This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to the analysis of problems in optimal control and mathematical programming. Examples are drawn from economics, engineering, mathematical physics, and various branches of analysis in this reprint volume.

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