Description |
1 online resource (xvi, 226 pages) : illustrations |
Contents |
Metric spaces -- Subsets of Euclidean space -- Basic properties of convex sets -- Transformations of the space K-n of compact convex sets -- Rounding theorems -- Convex polytopes -- Functionals on the space K-n, the Steiner theorem -- The Hadwiger theorems -- Applications of the Hadwiger theorems -- Curvature and surface area measures -- Sets with positive reach, convexity ring -- Selectors for convex bodies -- Polarity -- Star sets, star bodies -- Intersection bodies -- Selectors for star bodies |
Summary |
"Selected Topics in Convex Geometry requires of the reader only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefit from the book."--Jacket |
Bibliography |
Includes bibliographical references (pages 217-220) and index |
Notes |
English |
In |
Springer e-books |
Subject |
Convex geometry.
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Meetkunde.
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Convexe functies.
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Convexe ruimten.
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Géométrie convexe.
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Convex geometry.
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Geometría
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Análisis convexo
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Convex geometry
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Meetkunde.
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Convexe functies.
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Convexe ruimten.
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Form |
Electronic book
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ISBN |
0817643966 |
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9780817643966 |
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9780817644512 |
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0817644512 |
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1281335851 |
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9781281335852 |
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