Convex analysis : theory and applications

Author(s)

• Magaril-Ilʹyaev, G. G.
• Tikhomirov, Vladimir M. (Vladimir Mikhaĭlovich)

Bibliographic Information

Convex analysis : theory and applications

G.G. Magaril-Ilʹyaev, V.M. Tikhomirov ; translated by Dmitry Chibisov

（Translations of mathematical monographs, v. 222）

American Mathematical Society, c2003

Other Title

Выпуклый анализ : теория и приложения

Vypuklyĭ analiz : teorii︠a︡ i prilozhenii︠a︡

Note

Includes bibliographical references and index

Description and Table of Contents

Description

This book is an introduction to convex analysis and some of its applications. It starts with basic theory, which is explained within the framework of finite-dimensional spaces. The only prerequisites are basic analysis and simple geometry. The second chapter presents some applications of convex analysis, including problems of linear programming, geometry, and approximation. Special attention is paid to applications of convex analysis to Kolmogorov-type inequalities for derivatives of functions in one variable. Chapter 3 collects some results on geometry and convex analysis in infinite-dimensional spaces. A comprehensive introduction written 'for beginners' illustrates the fundamentals of convex analysis in finite-dimensional spaces. The book can be used for an advanced undergraduate or graduate-level course on convex analysis and its applications. It is also suitable for independent study of this important area of mathematics.

Table of Contents

Introduction Theory Applications Appendix Bibliography Index.

by "Nielsen BookData"

Details

• NCID: BA64500889
• ISBN:
  • 0821835254
• LCCN: 2003062858
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Providence, R.I.
• Pages/Volumes: viii, 183 p.
• Size: 22 cm
• Classification:
  • DC22 : 516.3/62
• Parent Bibliography ID:
  • BA00080309