Topics in Hyperplane Arrangements, Polytopes and Box-Splines

Topics in Hyperplane Arrangements, Polytopes and Box-Splines
Author: Corrado De Concini
Publisher: Springer Science & Business Media
Total Pages: 387
Release: 2010-08-30
Genre: Mathematics
ISBN: 0387789626


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Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral points in suitable families or variable polytopes. The topics introduced expand upon differential and difference equations, approximation theory, cohomology, and module theory. This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.


Topics in Hyperplane Arrangements, Polytopes and Box-Splines
Language: en
Pages: 387
Authors: Corrado De Concini
Categories: Mathematics
Type: BOOK - Published: 2010-08-30 - Publisher: Springer Science & Business Media

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Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral poin
Topics in Hyperplane Arrangements
Language: en
Pages: 639
Authors: Marcelo Aguiar
Categories: Mathematics
Type: BOOK - Published: 2017-11-22 - Publisher: American Mathematical Soc.

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This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, orga
Combinatorial Methods in Topology and Algebra
Language: en
Pages: 222
Authors: Bruno Benedetti
Categories: Mathematics
Type: BOOK - Published: 2015-10-31 - Publisher: Springer

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Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interac
Bimonoids for Hyperplane Arrangements
Language: en
Pages: 853
Authors: Marcelo Aguiar
Categories: Mathematics
Type: BOOK - Published: 2020-03-19 - Publisher: Cambridge University Press

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The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the
Algebraic and Geometric Ideas in the Theory of Discrete Optimization
Language: en
Pages: 341
Authors: Jesus A. De Loera
Categories: Mathematics
Type: BOOK - Published: 2012-01-01 - Publisher: SIAM

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This book presents recent advances in the mathematical theory of discrete optimization, particularly those supported by methods from algebraic geometry, commuta