Pub. Date:
Birkhäuser Boston
Selected Topics in Convex Geometry / Edition 1

Selected Topics in Convex Geometry / Edition 1

by Maria Moszynska


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Product Details

ISBN-13: 9780817643966
Publisher: Birkhäuser Boston
Publication date: 10/03/2005
Edition description: 2006
Pages: 226
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

* 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

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