Computing the Continuous Discretely

Robins Sinai Beck Matthias

ISBN 10: 0387291393 / ISBN 13: 9780387291390

Edité par Springer, 2007

A propos de cet article

pp. xviii + 226. N° de réf. du vendeur 7599209

Détails bibliographiques

Titre : Computing the Continuous Discretely

Éditeur : Springer

Date d'édition : 2007

Reliure : Couverture rigide

Etat : New

A propos de ce titre

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.