ENGLISH

Computing the Continuous Discretely: Integer-point Enumeration in Polyhedra

By Matthias Beck , Sinai Robins

Book information

Publisher
Springer
Year
2007
ISBN
0387291393, 9780387291390
Open Library ID
OL7445143M
Language
english
Format
PDF
Filesize
2 MB (2302947 bytes)
Series
Undergraduate Texts in Mathematics
Pages
253\253
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

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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