TY  - BOOK
AU  - Beck,Matthias
AU  - Robins,Sinai
TI  - Computing the continuous discretely : : integer-point enumeration in polyhedra 
T2  - Undergraduate texts in mathematics
SN  - 9781493929689
U1  - 516.11 23
PY  - 2015///
CY  - New York
PB  - Springer
KW  - Discrete geometry.
KW  - Mathematics.
KW  - Polyhedra.
N1  - Includes bibliographical references and index; 1. The Coin-Exchange Problem of Frobenius.- 
2. A Gallery of Discrete Volumes.- 
3. Counting Lattice Points in Polytopes: The Ehrhart Theory.- 
4. Reciprocity.- 
5. Face Numbers and the Dehn-Sommerville Relations in Ehrhartian Terms.- 
6. Magic Squares.- 
7. Finite Fourier Analysis.- 
8. Dedekind Sums, the  Building Blocks of Lattice-Point Enumeration.- 
12. Euler-MacLaurin Summation in Rd.- 
13. Solid Angles.- 
14. A Discrete Version of Green's Theorem Using Elliptic Functions.- 
Appendix: Vertex and Hyperplane descriptions of polytopes.-
Hints for Exercises.- 
References.- 
List of Symbols.-
Index
N2  - This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. It weaves a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory.
ER  -