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Calcul Différentiel Calcul Intégral Systèmes Dynamiques

Calcul Différentiel Calcul Intégral Systèmes Dynamiques


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About the Book

Ce livre propose un parcours structuré à travers trois domaines fondamentés des mathématiques: le Calcul Différentiel, le Calcul Intégral et les Systèmes Dynamiques. Il s'adresse à ceux qui cherchent à comprendre les mécanismes sous-jacents aux phénomènes de variation, d'accumulation et d'évolution. L'ouvrage est conçu comme une série de fiches détaillées, chacune explorant une notion spécifique. Nous commençons par les outils du Calcul Différentiel, qui permettent de décortiquer le changement instantané, de la pente d'une courbe à la vitesse d'un mouvement. Vous y découvrirez comment les fonctions se comportent, comment elles croissent ou décroissent, et où se situent leurs points de bascule. Nous passons ensuite au Calcul Intégral, qui offre la capacité de reconstituer le tout à partir de ses parties infinitésimales. Il s'agit de comprendre comment des changements individuels s'accumulent pour former une quantité totale, qu'il s'agisse d'une aire, d'un volume ou du travail accompli. Le lien fondamental entre la dérivation et l'intégration est clarifié, et diverses méthodes de calcul sont présentées. Enfin, l'exploration culmine avec les Systèmes Dynamiques, un domaine qui met en lumière comment les systèmes évoluent au fil du temps. Vous apprendrez à modéliser des situations concrètes, qu'elles soient continues (décrites par des équations différentielles) ou discrètes (par des relations de récurrence). L'ouvrage aborde la notion de points d'équilibre et de leur stabilité, offrant un aperçu des comportements prévisibles et, pour certains systèmes, l'émergence d'une complexité surprenante, voire du chaos. Des exemples concrets issus de la physique, de l'écologie ou de l'économie illustrent ces concepts. Ce livre vise à établir des ponts clairs entre ces disciplines, montrant comment les outils du calcul sont intrinsèquement liés à l'analyse de l'évolution des systèmes. Il est destiné à quiconque souhaite acquérir une compréhension solide et interconnectée de ces aspects cruciaux des mathématiques.


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Product Details
  • ISBN-13: 9798292321897
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Height: 203 mm
  • No of Pages: 56
  • Returnable: N
  • Weight: 118 gr
  • ISBN-10: 8292321896
  • Publisher Date: 13 Jul 2025
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Spine Width: 3 mm
  • Width: 127 mm


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