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About Algebre T2
Ce traite d algebre en deux volumes s adresse aux etudiants de licence ou master de mathematiques (L3-M1) et a ceux qui preparent le CAPES ou l agregation. Ce tome 2 traite de la notion generale de divisibilite des elements dans les anneaux: anneaux euclidiens, principaux, factoriels. Il presente une generalisation de cette notion aux ideaux anneaux de Dedekind et donne des applications a la theorie des nombres: anneau des entiers d un corps de nombres, ramification. Dans la seconde partie, il traite de l algebre lineaire et multilineaire: modules, modules sur un anneau principal, dualite, applications multilineaires, produit tensoriel, algebre tensorielle, produit exterieur, algebre exterieure (application au determinant). Chaque notion est developpee depuis les definitions de base jusqu a des resultats tres avances, avec toutes les demonstrations. Les chapitres sont suivis de themes de reflexion (TR) qui permettent d etudier en profondeur des notions qui illustrent ou completent le cours. and “
Detailed Information
| Author: | Daniel Guin |
|---|---|
| Publication Year: | 2013 |
| ISBN: | 1306212804 |
| Pages: | 254 |
| Language: | French |
| File Size: | 4.7 |
| Format: | |
| Price: | FREE |
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