Overview page for Convex Analysis (Rockafellar, 1970).

This aggregation module imports the currently formalized sections in this book. Use the links below to jump directly into chapter and section overview pages.

Verso links:

• Book home
• Book overview

Directory:

Chapter 01 -- Part I: Basic Concepts

• 1.1 Affine Sets (Documentation) (Verso)
• 1.2 Convex Sets and Cones (Documentation) (Verso)
• 1.3 The Algebra of Convex Sets (Documentation) (Verso)
• 1.4 Convex Functions (Documentation) (Verso)
• 1.5 Functional Operations (Documentation) (Verso)

Chapter 02 -- Part II: Topological Properties

• 2.5 Functional Operations (Documentation) (Verso)
• 2.6 Relative Interiors of Convex Sets (Documentation) (Verso)
• 2.7 Closures of Convex Functions (Documentation) (Verso)
• 2.8 Recession Cones and Unboundedness (Documentation) (Verso)
• 2.9 Some Closedness Criteria (Documentation) (Verso)
• 2.10 Continuity of Convex Functions (Documentation) (Verso)

Chapter 03 -- Part III: Duality Correspondences

• 3.11 Separation Theorems (Documentation) (Verso)
• 3.12 Conjugates of Convex Functions (Documentation) (Verso)
• 3.13 Support Functions (Documentation) (Verso)
• 3.14 Polars of Convex Sets (Documentation) (Verso)
• 3.15 Polars of Convex Functions (Documentation) (Verso)
• 3.16 Dual Operations (Documentation) (Verso)

Chapter 04 -- Part IV: Representation and Inequalities

• 4.17 Caratheodory's Theorem (Documentation) (Verso)
• 4.18 Extreme Points and Faces of Convex Sets (Documentation) (Verso)
• 4.19 Polyhedral Convex Sets and Functions (Documentation) (Verso)
• 4.20 Some Applications of Polyhedral Convexity (Documentation) (Verso)