Convex analysis and approximation theory
著者
書誌事項
Convex analysis and approximation theory
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 14 . Analysis ; 2）
Springer-Verlag, c1990
- : gw
- : us
- タイトル別名
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Analiz 2, Itogi nauki i tekhniki. Serii︠a︡ sovremennye problemy matematiki. Fundamentalʹnye napravlenii︠a︡
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.
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