Computing the continuous discretely : integer-point enumeration in polyhedra / Matthias Beck, Sinai Robins.

Author/creator Beck, Matthias
Other author Robins, Sinai.
Format Book
Publication InfoNew York : Springer, ©2007.
Descriptionxviii, 226 pages : figures ; 24 cm.
Supplemental ContentTable of contents only
Subjects

SeriesUndergraduate 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 noteTextbook for undergraduates.
Bibliography noteIncludes bibliographical references (p. [211]-220) and index.
LCCN 2006931787
ISBN9780387291390 (hd.bd.)
ISBN0387291393 (hd.bd.)
ISBN9780387461120 (e-ISBN)
ISBN0387461124 (e-ISBN)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA640.7 .B43 2007 ✔ Available Place Hold