Computing the continuous discretely : integer-point enumeration in polyhedra / Matthias Beck and Sinai Robins.
Material type:
TextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer, 2015.Edition: 2nd edDescription: xx, 285 p. : illustrations ; 25 cmISBN: - 9781493929689
- 516.11 23 B393
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 516.11 B393 (Browse shelf(Opens below)) | Available | 136769 |
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| 516.1 Y12 Geometric transformations | 516.1 Y12 Geometric transformations | 516.1 Y12 Geometric transformations | 516.11 B393 Computing the continuous discretely : | 516.11 B574 Classical topics in discrete geometry | 516.11 F219 Geometry, rigidity, and group actions | 516.120222 P778 Geometrical picture book |
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.
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.
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