Screen LibraryComputing the continuous discretely：integer-point enumeration in polyhedra
Saved in:
| Main Authors: | |
|---|---|
| Group Author: | |
| Published: |
Springer,
|
| Publisher Address: | New York |
| Publication Dates: | c2007. |
| Literature type: | Book |
| Language: | English |
| Series: |
Undergraduate texts in mathematics |
| Subjects: | |
| Carrier Form: | xviii, 232 p.: ill. ; 24 cm. |
| ISBN: |
9780387291390 0387291393 |
| Index Number: | O18 |
| CLC: | O18 |
| Call Number: | O18/B393 |
| Contents: |
Includes bibliographical references (p. [211]-220) and index. 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 building blocks of lattice-point enumeration -- 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 -- Vertex and hyperplane descriptions of polytopes -- Triangulations of polytopes. |