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.
- ISBN:
- 9781441921192
- 9781441921192
-
Category:
- Discrete mathematics
- Format:
- Paperback
- Publication Date:
-
23-11-2010
- Language:
- English
- Publisher:
- Springer-Verlag New York Inc.
- Country of origin:
- United States
- Pages:
- 226
- Dimensions (mm):
- 235x155x13mm
- Weight:
- 0.45kg
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