Computing the Continuous Discretely
Integer-point Enumeration in Polyhedra
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.
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Produktdetails
Weitere Autoren: Robins, Sinai
- ISBN: 978-0-387-46112-0
- EAN: 9780387461120
- Produktnummer: 33303755
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2007
- Seitenangabe: 227 S.
- Plattform: PDF
- Masse: 5'118 KB
- Auflage: 2007
- Abbildungen: Bibliographie
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