Computing the Continuous Discretely Integer-point Enumeration in Polyhedra /

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This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. Because there is n...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Beck, Matthias (Author), Robins, Sinai (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Undergraduate Texts in Mathematics,
Subjects:
Discrete mathematics.
Geometry.
Number theory.
Convex geometry .
Discrete geometry.
Mathematics-Data processing.
Discrete Mathematics.
Number Theory.
Convex and Discrete Geometry.
Computational Science and Engineering.
Online Access:Texto Completo
Table of Contents:
  • The Essentials of Discrete Volume Computations
  • 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
  • Beyond the Basics
  • Finite Fourier Analysis
  • Dedekind Sums, the Building Blocks of Lattice-point Enumeration
  • The Decomposition of a Polytope into Its Cones
  • Euler-Maclaurin Summation in ?d
  • Solid Angles
  • A Discrete Version of Green's Theorem Using Elliptic Functions.

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