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Algèbre: Chapitres 1 À 3
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AlgebraGeneral MathematicsGeometry
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ISBN10: 3540338497
ISBN13: 9783540338499
Publisher: Springer Nature
Published: Dec 11 2006
Pages: 636
Weight: 1.98
Height: 1.31 Width: 6.14 Depth: 9.21
Language: French
ISBN13: 9783540338499
Publisher: Springer Nature
Published: Dec 11 2006
Pages: 636
Weight: 1.98
Height: 1.31 Width: 6.14 Depth: 9.21
Language: French
Faire de l'Algèbre, c'est essentiellement calculer, c'est-à -dire effectuer, sur des éléments d'un ensemble, des (, par exemple aux permutations d'un - semble (voir Note historique de chap. 1). C'est sans doute la possibilité de ces extensions successives, dans lesquelles la forme des calculs restait la même, alors que la nature des êtres mathématiques soumis à ces calculs variait considérab- ment, qui a permis de dégager peu à peu le principe directeur des mat- matiques modernes, à savoir que les êtres mathématiques, en eux-mêmes, - portent peu: ce qui compte, ce sont leurs relations (voir Livre 1). Il est certain, en tout cas, que l'Algèbre a atteint ce niveau d'abstraction bien avant les autres parties de la Mathématique, et il y a longtemps déjà qu'on s'est accoutumé à la considérer comme l'étude des opérations algébriques, indépendamment des êtres mathématiques auxquels elles sont susceptibles de s'appliquer.
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