Convexity

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This book discusses convexity, the properties of convex sets.

Contents

• What is a convex set?
• The intersection of convex sets is convex
• Examples of convex sets
• The convex hull
• The diameter of a set
• Convex polytopes
• Helly's theorem
• Caratheodory's theorem
• Kirchberger's theorem
• Convex functions
• The Blaschke selection theorem