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Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem (Paperback, 1987 ed.) Loot Price: R1,159
Discovery Miles 11 590
Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem (Paperback, 1987 ed.): David E Handelman

Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem (Paperback, 1987 ed.)

David E Handelman

Series: Lecture Notes in Mathematics, 1282

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Loot Price R1,159 Discovery Miles 11 590 | Repayment Terms: R109 pm x 12*

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Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d, Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytopes (compact convex polytopes in Euclidean space whose vertices lie in Zd), and certain algebraic properties of the algebra are related to geometric properties of the polytope. There are also strong connections with convex analysis, Choquet theory, and reflection groups. This book serves as both an introduction to and a research monograph on the many interconnections between these topics, that arise out of questions of the following type: Let f be a (Laurent) polynomial in several real variables, and let P be a (Laurent) polynomial with only positive coefficients; decide under what circumstances there exists an integer n such that Pnf itself also has only positive coefficients. It is intended to reach and be of interest to a general mathematical audience as well as specialists in the areas mentioned.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1282
Release date: October 1987
First published: 1987
Authors: David E Handelman
Dimensions: 235 x 155 x 8mm (L x W x T)
Format: Paperback
Pages: 138
Edition: 1987 ed.
ISBN-13: 978-3-540-18400-3
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Geometry > Euclidean geometry
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LSN: 3-540-18400-7
Barcode: 9783540184003

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