| Softcover ISBN: | 978-0-8218-3525-8 |
| Product Code: | MMONO/222 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4646-8 |
| Product Code: | MMONO/222.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-3525-8 |
| eBook: ISBN: | 978-1-4704-4646-8 |
| Product Code: | MMONO/222.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Softcover ISBN: | 978-0-8218-3525-8 |
| Product Code: | MMONO/222 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4646-8 |
| Product Code: | MMONO/222.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-3525-8 |
| eBook ISBN: | 978-1-4704-4646-8 |
| Product Code: | MMONO/222.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
-
Book DetailsTranslations of Mathematical MonographsVolume: 222; 2003; 183 ppMSC: Primary 52; 46; Secondary 47
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.
ReadershipAdvanced undergraduates, graduate students and research mathematicians interested in convex analysis.
-
Table of Contents
-
Chapters
-
Introduction
-
Theory
-
Applications
-
Appendix
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Advanced undergraduates, graduate students and research mathematicians interested in convex analysis.
-
Chapters
-
Introduction
-
Theory
-
Applications
-
Appendix
