Structures mathématiques: Semestre d’hiver 2016/2017

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Author(s): Gabor Wiese
Series: lecture notes
Edition: version 2017-09-24
Year: 2017

Language: French
Commentary: Downloaded from https://orbilu.uni.lu/bitstream/10993/32380/1/SM.pdf

Table des matières
Préface
Littérature
Introduction aux mathématiques à l'université
Les démonstrations et les premiers mots du langage mathématique
Logique élémentaire
Ensembles
Applications et fonctions
Relations binaires
Systèmes de nombres et structures algébriques
Les entiers naturels N
Groupes
Anneaux
L'anneau des entiers relatifs revisité
Plus sur les groupes
Sous-groupes et ordres
Le théorème de Lagrange et son application aux ordres
Homomorphismes