cours Arithmétique MIP (SMIA) S1

Arithmétique dans Z : Divisibilité dans Z. Division euclidienne. pgcd, ppcm. Numérotation. Algorithme d’Euclide. Théorème de Bézout, théorème de Gauss. Nombres premiers, décompositions en nombres premiers. Congruences. Anneau Z/nZ. Le corps Z/pZ . Indicateur d’Euler
cours Arithmétique MIP (SMIA) S1
cours N°1

cours N°2

cours N°3

Arithmétique dans Z
Ensemble des entiers naturels
Dénitions
On admet l'existence d'un ensemble ordonné non vide (N, ≤) vériant les trois propriétés suivantes : i) Toute partie non vide de N possède un plus petit élément. ii) Toute partie non vide majorée de N possède un plus grand élément. iii) N n'a pas de plus grand élément.

algebre 1 Arithmétique

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cours Arithmétique MIP (SMIA) S1

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