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Mathématique autrement: Suites et différences finies by Garay, Mauricio

Mathématique autrement: Suites et différences finies

by Mauricio Garay
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Book cover type: Paperback
  • ISBN13: 9781728717395
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 232
  • Original Price: USD 9.03
  • Language: French
  • Edition: N/A
  • Item Weight: 318 grams
  • BISAC Subject(s): Teaching / Subjects / Mathematics

Compter, énumérer est la première activité mathématique dont nous faisons l'expérience. Le concept de suite cristallise ce principe. De Fibonacci qui énumère les lapins dans un champ au cours des mois, en passant par Verhulst qui donna une estimation étonnamment précise de la croissance de la population française sur un siècle, les suites sont partout présentes dans l'analyse. Elles en sont même l'un des fondements. Qu'est-ce que la longueur d'un cercle ? Archimède nous dit que c'est la suite des périmètres de polygones qui l'approchent de plus en plus. Découper, approcher: tel est le coeur de la méthode d'exhaustion découverte par les savants grecs. Après les travaux d'Alhazen, Pascal, Huygens et Leibniz, l'exhaustion devint l'un des piliers du calcul des différences finies et des infiniments petits. Aujourd'hui à l'ère des ordinateurs, le calcul des différences finies --trop souvent absent des enseignements traditionnels-- est plus que jamais d'actualité. Elle permet aux élèves de se familiariser avec les aspects théoriques de l'analyse tout en s'initiant à la programmation, pour calculer rapidement des longueurs, des aires, des volumes et, plus tard, de prévoir les trajectoires des satellites, des planètes...

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