Computing the Continuous Discretely, Softcover reprint of hardcover 1st ed. 2007 Integer-point Enumeration in Polyhedra Undergraduate Texts in Mathematics Series

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.

The authors write with flair and have chosen a unique set of topics

Places a strong emphasis on computational techniques

Contains more than 200 exercises and has been heavily class-tested

Includes hints to selected exercises

Includes supplementary material: sn.pub/extras