| Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra Contributor(s): Beck, Matthias (Author), Robins, Sinai (Author) |
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ISBN: 1441921192 ISBN-13: 9781441921192 Publisher: Springer OUR PRICE: $47.49 Product Type: Paperback - Other Formats Published: November 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Combinatorics - Mathematics | Applied |
| Dewey: 516.11 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 0.5" H x 6" W x 8.9" (0.75 lbs) 227 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes", and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant. |