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Convex Polytopes

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Cover of 'Convex Polytopes'

Table of Contents

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    Book Overview
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    Chapter 1 Notation and Prerequisites
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    Chapter 2 Convex Sets
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    Chapter 3 Polytopes
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    Chapter 4 Examples
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    Chapter 5 Fundamental Properties and Constructions
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    Chapter 6 Polytopes with Few Vertices
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    Chapter 7 Neighborly Polytopes
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    Chapter 8 Euler’s Relation
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    Chapter 9 Analogues of Euler’s Relation
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    Chapter 10 Extremal Problems Concerning Numbers of Faces
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    Chapter 11 Properties of Boundary Complexes
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    Chapter 12 k-Equivalence of Polytopes
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    Chapter 13 3-Polytopes
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    Chapter 14 Angle-sums Relations; the Steiner Point
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    Chapter 15 Addition and Decomposition of Polytopes
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    Chapter 16 Diameters of Polytopes
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    Chapter 17 Long Paths and Circuits on Polytopes
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    Chapter 18 Arrangements of Hyperplanes
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    Chapter 19 Concluding Remarks
Attention for Chapter 1: Notation and Prerequisites
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