Selected Topics in Convex Geometry

* Preface to the Polish Edition * Preface to the English Edition * Introduction Part I: * Metric Spaces * Subsets of Euclidean Space * Basic Properties of Convex Sets * Transformations of the Space Kn of Compact Convex Sets * Rounding Theorems * Convex Polytopes * Functionals on the Space Kn...The Steiner Theorem * The Hadwiger Theorems * Applications of the Hadwiger Theorems Part II: * Curvature and Surface Area Measures * Sets with Positive Reach...Convexity Ring * Selectors for Convex Bodies * Polarity Part III: * Star Sets...Star Bodies * Intersection Bodies * Selectors for Star Bodies * Exercises to Part I * Exercises to Part II * Exercises to Part III * References * List of Symbols * Index