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Computing the continuous discretely : integer-point enumeration in polyhedra

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Cover of 'Computing the continuous discretely : integer-point enumeration in polyhedra'

Table of Contents

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    Book Overview
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    Chapter 1 The Coin-Exchange Problem of Frobenius
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    Chapter 2 A Gallery of Discrete Volumes
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    Chapter 3 Counting Lattice Points in Polytopes:The Ehrhart Theory
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    Chapter 4 Reciprocity
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    Chapter 5 Face Numbers and the Dehn—Sommerville Relations in Ehrhartian Terms
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    Chapter 6 Magic Squares
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    Chapter 7 Finite Fourier Analysis
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    Chapter 8 Dedekind Sums, the Building Blocks of Lattice-point Enumeration
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    Chapter 9 The Decomposition of a Polytope into Its Cones
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    Chapter 10 Euler—Maclaurin Summation in ℝ d
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    Chapter 11 Solid Angles
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    Chapter 12 A Discrete Version of Green’s Theorem Using Elliptic Functions
Attention for Chapter 3: Counting Lattice Points in Polytopes:The Ehrhart Theory
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