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Lectures on Discrete Geometry

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Cover of 'Lectures on Discrete Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Convexity
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    Chapter 2 Lattices and Minkowski’s Theorem
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    Chapter 3 Convex Independent Subsets
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    Chapter 4 Incidence Problems
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    Chapter 5 Convex Polytopes
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    Chapter 6 Number of Faces in Arrangements
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    Chapter 7 Lower Envelopes
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    Chapter 8 Intersection Patterns of Convex Sets
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    Chapter 9 Geometric Selection Theorems
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    Chapter 10 Transversals and Epsilon Nets
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    Chapter 11 Attempts to Count k-Sets
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    Chapter 12 Two Applications of High-Dimensional Polytopes
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    Chapter 13 Volumes in High Dimension
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    Chapter 14 Measure Concentration and Almost Spherical Sections
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    Chapter 15 Embedding Finite Metric Spaces into Normed Spaces
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    Chapter 16 What Was It About? An Informal Summary
Attention for Chapter 12: Two Applications of High-Dimensional Polytopes
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