Computing the continuous discretely : integer-point enumeration in polyhedra / Matthias Beck, Sinai Robins.
| Author/creator | Beck, Matthias |
| Other author | Robins, Sinai. |
| Format | Book |
| Publication Info | New York : Springer, ©2007. |
| Description | xviii, 226 pages : figures ; 24 cm. |
| Supplemental Content | Table of contents only |
| Subjects |
| Series | Undergraduate texts in mathematics Undergraduate texts in mathematics. ^A236098 |
| Contents | PART I. 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 -- PART II. BEYOND THE BASICS. -- Finite Fourier analysis -- Dedekind sums -- The decomposition of a polytope into its cones -- Euler-Maclaurin summation in R[superscript]d -- Solid angles -- A discrete version of Green's theorem using elliptic functions -- Appendix: Triangulations of polytopes. |
| General note | Textbook for undergraduates. |
| Bibliography note | Includes bibliographical references (p. [211]-220) and index. |
| LCCN | 2006931787 |
| ISBN | 9780387291390 (hd.bd.) |
| ISBN | 0387291393 (hd.bd.) |
| ISBN | 9780387461120 (e-ISBN) |
| ISBN | 0387461124 (e-ISBN) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA640.7 .B43 2007 | ✔ Available | Place Hold |