Translations of Mathematical Monographs 2003; 183 pp; softcover Volume: 222 ISBN10: 0821835254 ISBN13: 9780821835258 List Price: US$80 Member Price: US$64 Order Code: MMONO/222
 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 finitedimensional 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 Kolmogorovtype inequalities for derivatives of functions in one variable. Chapter 3 collects some results on geometry and convex analysis in infinitedimensional spaces. A comprehensive introduction written "for beginners" illustrates the fundamentals of convex analysis in finitedimensional spaces. The book can be used for an advanced undergraduate or graduatelevel course on convex analysis and its applications. It is also suitable for independent study of this important area of mathematics. Readership Advanced undergraduates, graduate students and research mathematicians interested in convex analysis. Table of Contents  Introduction
 Theory
 Applications
 Appendix
 Bibliography
 Index
