Convex Analysis
Series: Textbooks in Mathematics;
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Product details:
- Edition number 2
- Publisher Chapman and Hall
- Date of Publication 20 May 2026
- ISBN 9781041253259
- Binding Hardback
- No. of pages177 pages
- Size 234x156 mm
- Language English
- Illustrations 64 Illustrations, black & white; 64 Line drawings, black & white; 1 Tables, black & white 700
Categories
Short description:
This textbook, now in its second edition, introduces analytic tools for studying convexity and provides analytical applications of the concept. It is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.
MoreLong description:
Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.
This text, popular in its first edition, introduces analytic tools for studying convexity and provides analytical applications of the concept. It includes a general background on classical geometric theory, revealing a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically.
The book contains copious examples, many applications, and plenty of figures. It also includes an appendix which offers the technical tools needed to understand certain arguments in the book, a table of notation, and a thorough glossary to help readers with unfamiliar terms.
The book presents an analytic way to think about convexity theory. Although this means of doing things is well known to the experts, it is not well documented in the literature. The reader with only a basic background in real analysis (and perhaps a little linear algebra) can get a lot out of this book. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.
MoreTable of Contents:
1. Basic Ideas 2. Functions 3. More on Functions 4. Applications 5. Sophisticated Ideas 6. The MiniMax Theorem 7. Concluding Remarks
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