Until recently, only six of thirteen books comprising Diophantus' Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of the work as it has survived in ten books.

Jusqu'à une date récente, on ne connaissait que six des treize livres que comprenaient les Arithmétiques de Diophante. Quatre livres supplémentaires ont été récemment découverts en traduction arabe. Nous sommes donc maintenant en mesure de comprendre l'organisation de l'ouvrage et son impact sur un millénaire et demi de recherche mathématique. Le présent livre offre la première étude historique et mathématique de l'ensemble des dix livres.

Autorentext

R. Rashed und C. Houzel, CNRS, Paris.

Klappentext

Until recently, only six of thirteen books comprising Diophantus' Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of the work as it has survived in ten books.