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Convex analysis

By: Krantz, Steven G.
Series: Textbooks in mathematics. Publisher: Boca Raton CRC Press 2015Description: xiii, 161 p.ISBN: 9781498706377.Subject(s): Convex domains | Convex polytopes | Convex geometry | Convex sets - GeometryDDC classification: 516.08 Summary: Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically. Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. 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. (https://www.crcpress.com/Convex-Analysis/Krantz/9781498706377)
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Slot 1383 (0 Floor, East Wing) Non-fiction 516.08 K7C6 (Browse shelf) Available 190457

Table of contents:

1. Basic Ideas
2. Functions
3. More on Functions
4. Applications
5. More Sophisticated Ideas
6. The MiniMax Theorem

Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically.
Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. 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.

(https://www.crcpress.com/Convex-Analysis/Krantz/9781498706377)

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