Ensembles ordonnés finis : concepts, résultats et usages / Edition 1

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Overview

Les notions d'ordre, de classement, de rangement sont présente's dans de multiples activite's et situations humaines. La formalisation mathématique de ces notions a permis d'abord le grand développement de la théorie des treillis, puis celui de structures ordonnées plus générales, notamment celles relevant des mathématiques discrètes. Les buts principaux de cet ouvrage qui comble un vide sont donc de:

- donner les concepts et résultats fondamentaux sur les ensembles ordonne's finis,

- présenter leurs usages dans des domaines varie's (de la RO ou l’IA à la micro-économie),

- signaler un certain nombre de résultats et de recherches en cours.

Le lecteur sera ainsi à même de trouver tout ce qu'il a besoin de connaître sur ces structures sans devoir le rechercher dans de multiples revues relevant de disciplines variées.

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Editorial Reviews

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"The stated aim of this book is to provide the basic concepts and results on finite partially ordered sets, together with applications in various disciplines and to indicate some of the ongoing research. … Each chapter contains many exercises, making the book suitable as a textbook or as a reference book. The book is unique in giving equal attention to the combinatorial, logical and applied aspects of partially ordered sets. It helps mathematicians working in different fields … . A must read." (Gábor Hetyei, Mathematical Reviews, Issue 2008 f)

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Product Details

  • ISBN-13: 9783540737551
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 9/6/2007
  • Language: French
  • Series: Mathematiques et Applications Series , #60
  • Edition description: 2007
  • Edition number: 1
  • Pages: 342
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.75 (d)

Table of Contents

Concepts et exemples.- Classes particulières d'ensembles ordonnés.- Morphismes d'ensembles ordonnés.- Chaînes et antichaînes.- Ensembles ordonne's et treillis distributifs.- Codages et dimensions des ordres.- Quelques usages.

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