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Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra, Hardback Book

Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra Hardback

Part of the Undergraduate Texts in Mathematics series

Hardback

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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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