Computing the Continuous Discretely: Integer-point by Matthias Beck,Sinai Robins PDF

By Matthias Beck,Sinai Robins

ISBN-10: 1441921192

ISBN-13: 9781441921192

ISBN-10: 1493929682

ISBN-13: 9781493929689

This much-anticipated textbook illuminates the sector of discrete arithmetic with examples, thought, and purposes of the discrete quantity of a polytope. The authors have weaved a unifying thread via simple but deep principles in discrete geometry, combinatorics, and quantity concept. simply because there is not any different booklet that places jointly all of those rules in a single position, this article is actually a provider to the mathematical neighborhood.
We come upon right here a pleasant invitation to the sector of 'counting integer issues in polytopes,' sometimes called Ehrhart idea, and its quite a few connections to common finite Fourier research, producing services, the Frobenius coin-exchange challenge, good angles, magic squares, Dedekind sums, computational geometry, and extra. With 250 routines and open difficulties, the reader seems like an energetic player, and the authors' enticing type encourages such participation. the numerous compelling images that accompany the proofs and examples upload to the inviting variety.
For academics, this article is perfect as a capstone direction for undergraduate scholars or as a compelling textual content in discrete mathematical themes for starting graduate scholars. For scientists, this article can be used as a brief tooling machine, specially in case you desire a self-contained, easy-to-read creation to those topics.

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Computing the Continuous Discretely: Integer-point Enumeration in Polyhedra (Undergraduate Texts in Mathematics) by Matthias Beck,Sinai Robins


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