Convex functions
constructions, characterizations and counterexamples
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Author
Contributions
- Vanderwerff, Jon D. - Contributor
Publication
2010 - Cambridge University Press, Cambridge, England
Language
English
Word Count
130,250 words, Guess
Page Count
521 pages
Identifiers
- Open LibraryOL27027358M
- Internet Archiveconvexfunctionsc00borw
- Internet Archiveconvexfunctionsc00borw_035
- Internet Archiveconvexfunctionsc00borw_808
- Internet Archiveconvexfunctionsc00borw_810
and 6 more
- Internet Archiveconvexfunctionsc00jbor
- ISBN-100521850053
- ISBN-139780521850056
- Library of Congress Control Number2010287984
- OCLC Control Number434562716
- Better World Books9780521850056
Classifications
- DDC515.8
- LCCQA331.5 .B67 2010
- LCCQA331.5
and 1 more
- LCCQA331.5 .B655 2010
Description
Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.
Subjects
Other Editions
- Convex functions: constructions, characterizations and counterexamples
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