Convex Analysis

The book showcases convexity in the context of mathematical analysis. It introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background in classical geometric theory which allows readers to obtain a glimpse of how modern m...

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Bibliographic Details
Main Author Krantz, Steven G.
Format eBook Book
LanguageEnglish
Published Boca Raton Chapman and Hall/CRC 2015
CRC Press
CRC Press LLC
Chapman & Hall
Edition1
SeriesTextbooks in Mathematics
Subjects
Convex domains
Convex functions
Functional analysis
Convex Domain
Extreme Points
Defining Function
Convex Hull
Krein Milman Theorem
Tangent Vector
Infimal Convolution
Finite Disjoint Union
Weakly Convex
Helly Theorem
Finite Order
MiniMax Theorem
Convexity Theory
Convex Set
Compact Subsets
Affine Function
Brouwer’s Fixed Point Theorem
Convex Functions
Convex Point
Strong Convexity
Exhaustion Function
Minkowski Sum
Analytically Convex
SIO
Tangent Hyperplane
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Summary:The book showcases convexity in the context of mathematical analysis. It introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background in 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 a thorough glossary to help readers with unfamiliar terms.
Bibliography:Includes bibliographical references (p. 155-157) and index
ISBN:9781498706377
1498706371
DOI:10.1201/b17694