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.
Or split into 4x interest-free payments of 25% on orders over R50
Learn more
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.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Undergraduate Texts in Mathematics |
Release date | November 2010 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2007 |
Authors | Matthias Beck, Sinai Robins |
Dimensions | 235 x 155 x 13mm (L x W x T) |
Format | Paperback |
Pages | 227 |
Edition | Softcover reprint of hardcover 1st ed. 2007 |
ISBN-13 | 978-1-4419-2119-2 |
Barcode | 9781441921192 |
Categories | |
LSN | 1-4419-2119-2 |