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Science/Engineering Statistical Mechanics, Third Edition
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Science/Engineering Corps communicatifs et théorie de Galois : Cours et exercices
Posted on 2010-03-16
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More Corps communicatifs et théorie de Galois : Cours et exercices La théorie des corps occupe une place prépondérante en algèbre générale. Elle est également au c?ur de plusieurs autres domaines des mathématiques : géométrie algébrique, théorie des nombres, groupes arithmétiques, cryptographie, théorie des modèles. L'ouvrage que lui consacre Patrice Tauvel comporte une étude exhaustive des extensions algébriques, et, ce qui est moins fréquent, des extensions transcendantes, ainsi qu'une remarquable initiation à la théorie de Galois différentielle. Les corps finis précèdent dans le texte la théorie de Galois classique et lui servent de motivation. Viennent ensuite les constructions par règle et compas et la résolution des équations par radicaux. Enfin, une attention toute particulière est accordée à la théorie des corps ordonnés. Le cours est illustré par plus de 200 exercices, choisis avec soin. Ce livre s'adresse aux étudiants en master de mathématiques, aux candidats à l'agrégation ainsi qu'aux enseignants et chercheurs. Patrice Tauvel a su rédiger, dans un style épuré et particulièrement rigoureux, un cours complet et brillant sur les corps, devenu dès sa première édition un ouvrage de référence.
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