Gomtrie Hyperbolique
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Home > Art, Film & Photography > Gomtrie Hyperbolique: Fonction Hyperbolique, Demi-Plan de Poincar, Coquaternion, Groupe Gamma Modulaire, Segment, Cosinus Hyperbolique
Gomtrie Hyperbolique: Fonction Hyperbolique, Demi-Plan de Poincar, Coquaternion, Groupe Gamma Modulaire, Segment, Cosinus Hyperbolique

Gomtrie Hyperbolique: Fonction Hyperbolique, Demi-Plan de Poincar, Coquaternion, Groupe Gamma Modulaire, Segment, Cosinus Hyperbolique


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About the Book

Les achats comprennent une adhsion l'essai gratuite au club de livres de l'diteur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur: Fonction Hyperbolique, Demi-Plan de Poincar, Coquaternion, Groupe Gamma Modulaire, Segment, Cosinus Hyperbolique, Formule Des Traces de Selberg, Disque de Poincar, Tangente Hyperbolique, Arithmtique de Fins de Hilbert, Cosinus Hyperbolique Rciproque. Non illustr. Mises jour gratuites en ligne. Extrait: En mathmatiques, on appelle fonctions hyperboliques les fonctions cosinus hyperbolique, sinus hyperbolique et tangente hyperbolique. Les noms de sinus, cosinus et tangente proviennent de leur ressemblance avec les fonctions trigonomtriques (ou circulaires) et le terme de hyperbolique provient de leur relation avec l'hyperbole d'quation . Elles sont utilises en analyse pour le calcul intgral, la rsolution des quations diffrentielles mais aussi en gomtrie hyperbolique. Les fonctions hyperboliques ont t inventes par le jsuite Vincenzo Riccati dans les annes 1760 alors qu'il cherchait, avec son collgue Saladini, calculer l'aire sous l'hyperbole d'quation . La mthode gomtrique qu'il employa alors tait trs similaire celle que l'on peut utiliser pour calculer l'aire d'un cercle d'quation . Le calcul de l'aire du cercle fait intervenir les fonctions trigonomtriques classiques que Riccati nommait cosinus et sinus circulaires. Par analogie, il appela alors les fonctions qu'il venait de crer cosinus et sinus hyperboliques. Ce fut un choix heureux, car cette ressemblance ne s'arrte pas la mthode de calcul d'aire mais aussi toutes les formules trigonomtriques. Cependant, pourtant au fait du travail de son contemporain Euler, il n'utilisa pas la fonction exponentielle pour les dfinir mais seulement des considrations gomtriques. L'autre grand mathmaticien ayant tudi les fonctions hyperb...http: //booksllc.net/?l=fr


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Product Details
  • ISBN-13: 9781159709044
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 60
  • Spine Width: 4 mm
  • Weight: 100 gr
  • ISBN-10: 1159709041
  • Publisher Date: 02 Aug 2010
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: Fonction Hyperbolique, Demi-Plan de Poincar, Coquaternion, Groupe Gamma Modulaire, Segment, Cosinus Hyperbolique
  • Width: 229 mm


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