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Computing the continuous discretely: integer-point enumeration in polyhedra

โœ Scribed by Beck, Matthias;Robins, Sinai

Publisher
Springer
Year
2015
Tongue
English
Leaves
295
Series
Undergraduate texts in mathematics
Edition
Second edition
Category
Library
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โœฆ Table of Contents

Preface.- The Coin-Exchange Problem of Frobenius.- A Gallery of Discrete Volumes.- Counting Lattice Points in Polytopes: The Ehrhart Theory.- Reciprocity.- Face Numbers and the Dehn-Sommerville Relations in Ehrhartian Terms.- Magic Squares.- Finite Fourier Analysis.- Dedekind Sums.- The Decomposition of a Polytope into Its Cones.- Euler-MacLaurin Summation in Rd.- Solid Angles.- A Discrete Version of Green's Theorem Using Elliptic Functions.- Appendix A: Triangulations of Polytopes.- Appendix B: Hints for Selected Exercises.- References.- Index.- List of Symbols.-

โœฆ Subjects

Computer science--Mathematics;Discrete geometry;Diskrete Mathematik;Gitterpunktproblem;Kontinuum;Mathematics;Polyeder;Polyhedra;Computer science -- Mathematics

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