Art et science Book by Robert D'Adhemar - Bookswagon
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Art et science

Art et science


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About the Book

Les mathématiques pures comportent trois grandes subdivisions: arithmétique, algèbre, analyse infinitésimale. Nous dirons quelques mots des branches extrêmes, la seconde pouvant être considérée comme soudée aux deux autres: l'algèbre est un prolongement de l'arithmétique, ou une portion de l'analyse, suivant le point de vue. Comment l'arithmétique, ou théorie des nombres, devait fatalement se constituer, c'est ce qu'il est bien aisé d'expliquer. Les simples multiplications et divisions auxquelles les plus jeunes enfants sont habitués ne sont pour eux que des exercices purement mécaniques. Or si l'on se sert bien aisément d'une montre sans avoir aucune idée de son mécanisme, voilé aux regards, il faut bien cependant qu'il existe quelque horloger connaissant à fond les rouages, sans quoi, au premier accident, la montre sera hors d'usage. Le géomètre était donc nécessaire pour édifier une théorie de ces calculs si simples à pratiquer, si délicats à bien raisonner. La logique de l'addition, de la soustraction, de la multiplication ayant été créée, l'on se trouvait, avec celle de la division, en présence d'une difficulté nouvelle: l'opération, en général, est impossible (exemple 10: 3). De là la théorie de la divisibilité qui se pose le problème suivant: Etant donné un nombre entier, reconnaître a priori, d'après la forme de ce nombre, s'il est divisible par tel autre nombre. De la notion de divisibilité découle la notion de nombre premier. Ce sont les nombres tels que 2, 3, 5, 7, 11, 13... qui n'admettent aucun diviseur...
About the Author: Robert d'Adhémar (1874 - 1941) était docteur ès sciences mathématiques, professeur à l'université catholique de Lille et ingénieur des arts et manufactures.


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Product Details
  • ISBN-13: 9781722437541
  • Publisher: Createspace Independent Publishing Platform
  • Publisher Imprint: Createspace Independent Publishing Platform
  • Height: 229 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 152 mm
  • ISBN-10: 1722437545
  • Publisher Date: 07 Jul 2018
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Weight: 109 gr


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