Solutions Manual to Accompany Geometry of Convex Sets

Preface vii

1 Introduction to N-Dimensional Geometry 1

1.2 Points Vectors and Parallel Lines 1

1.2.5 Problems 1

1.4 Inner Product and Orthogonality 3

1.4.3 Problems 3

1.6 Hyperplanes and Linear Functionals 5

1.6.3 Problems 5

2 Topology 13

2.3 Accumulation Points and Closed Sets 13

2.3.4 Problems 13

2.6 Applications of Compactness 20

2.6.5 Problems 20

3 Convexity 35

3.2 Basic Properties of Convex S...