Computing the Continuous Discretely

Computing the Continuous Discretely
Author :
Publisher : Springer Science & Business Media
Total Pages : 242
Release :
ISBN-10 : 9780387461120
ISBN-13 : 0387461124
Rating : 4/5 (124 Downloads)

Book Synopsis Computing the Continuous Discretely by : Matthias Beck

Download or read book Computing the Continuous Discretely written by Matthias Beck and published by Springer Science & Business Media. This book was released on 2007-11-27 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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