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Chapter 1: Introduction - Convex and Affine Sets Exercises for Chapter 1 Chapter 2: Convex and Concave Functions Exercises for Chapter 2 Chapter 3: Separation Properties of Convex Sets - Supporting Hyperplanes - Extreme Points - Cones Exercises for Chapter 3 Chapter 4: Linear Programming - Farkas' Lemma - LP Duality Exercises for Chapter 4 Chapter 5: Banach's Fixed Point Theorem - Brouwer's Fixed Point Theorem Exercises for Chapter 5 Chapter 6: Kakutani's Fixed Point Theorem Exercises for Chapter 6