Articles liés à On the volume of a polytope in Rn: Basics, Concepts,...

On the volume of a polytope in Rn: Basics, Concepts, Methods - Couverture souple

Ahmed Sadeq, Fatema; Assaad Salman, Shatha

 
9783659211959: On the volume of a polytope in Rn: Basics, Concepts, Methods
Couverture souple
ISBN 10 : 3659211958 ISBN 13 : 9783659211959
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Computing the volume and integral points of a polytope in Rn is a very important subject in different areas of mathematics. Chapter one give a short introduction, provide a sketch of what polytope looks like and how they behave with many examples. Some methods for finding the volumeof a convex polytope are recalled. Chapter two, present some methods for computing the coefficients of Ehrhart polynomial that depend on the concepts of residue theorem in complex analysis. Chapter three, a method for finding the volume of a cyclic polytope is presented and some basic concepts and remarks about the cyclic polytope and their volumes are discussed with their Ehrhart polynomials. We find a general formula for the number of integral points. To the best of our knowledge, this result seems to be new. The analysis should be useful to professionals in combinatorial, algebraic geometry, cryptography, and integer programming.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Computing the volume and integral points of a polytope in Rn is a very important subject in different areas of mathematics. Chapter one give a short introduction, provide a sketch of what polytope looks like and how they behave with many examples. Some methods for finding the volumeof a convex polytope are recalled. Chapter two, present some methods for computing the coefficients of Ehrhart polynomial that depend on the concepts of residue theorem in complex analysis. Chapter three, a method for finding the volume of a cyclic polytope is presented and some basic concepts and remarks about the cyclic polytope and their volumes are discussed with their Ehrhart polynomials. We find a general formula for the number of integral points. To the best of our knowledge, this result seems to be new. The analysis should be useful to professionals in combinatorial, algebraic geometry, cryptography, and integer programming.

Biographie de l'auteur

Fatema A.S.has M.Sc. degree from university of Technology in 2009 in Applied Mathematics with specialization combinatorial. She is assistant lecture in 2009,and published articles inside Iraq.Assoc.prof.Dr.Shatha A.S.has Ph.D.degree from Al-Nahrain University in 2005 in Applied Mathematics and computer application with specialization combinatoril.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659211958
ISBN 13 
9783659211959
Reliure
Broché
Nombre de pages
64
Coordonnées du fabricant
non disponible
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