Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra - Couverture rigide

Beck, Matthias; Robins, Sinai; Clark, Nicole

Couverture rigide

ISBN 10 : 0387291393 ISBN 13 : 9780387291390

Editeur : Springer-Verlag New York Inc., 2007

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0387291393
• ISBN 13: 9780387291390
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 227
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne