Les "Arithmétiques" de Diophante: Lecture historique et mathématique

Roshdi Rashed; Christian Houzel

Published by De Gruyter 2013

Les "Arithmétiques" de Diophante

Lecture historique et mathématique

The 'Arithmetica' of Diophantus: A Historical and Mathematical Reading

Roshdi Rashed and Christian Houzel

Volume 11 in the series Scientia Graeco-Arabica

https://doi.org/10.1515/9783110336481

About this book

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.

Author / Editor information

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

Reviews

"What we have here, then, is a modern mathematical commentary on a classical text. [...] it is an invaluable help to the mathematical reader who simply wants to see what is there."
Fernando Q. Gouvêa in: MAA Reviews 04/11/2017

Supplementary Materials

Contents

Topics

Frontmatter Publicly Available Download PDF	i
Préface Requires Authentication Unlicensed Licensed Download PDF	v
Sommaire Publicly Available Download PDF	ix
INTRODUCTION: LES ARITHMÉTIQUES DE DIOPHANTE Requires Authentication Unlicensed Licensed Download PDF	1
CHAPITRE I: LA MÉTHODE DE LA CORDE Requires Authentication Unlicensed Licensed Download PDF	47
CHAPITRE II: LES MÉTHODES DE DIOPHANTE Requires Authentication Unlicensed Licensed Download PDF	121
CHAPITRE III: COMMENTAIRE MATHÉMATIQUE DES ARITHMÉTIQUES
Livre I Requires Authentication Unlicensed Licensed Download PDF	155
Livre II Requires Authentication Unlicensed Licensed Download PDF	179
Livre III Requires Authentication Unlicensed Licensed Download PDF	219
Livre 4 Requires Authentication Unlicensed Licensed Download PDF	265
Livre 5 Requires Authentication Unlicensed Licensed Download PDF	301
Livre 6 Requires Authentication Unlicensed Licensed Download PDF	317
Livre 7 Requires Authentication Unlicensed Licensed Download PDF	343
Livre IV Requires Authentication Unlicensed Licensed Download PDF	369
Livre V Requires Authentication Unlicensed Licensed Download PDF	445
Livre VI Requires Authentication Unlicensed Licensed Download PDF	527
APPENDICE: La connaissance de Diophante dans l’Antiquité Requires Authentication Unlicensed Licensed Download PDF	595
INDEX DES NOMS PROPRES Requires Authentication Unlicensed Licensed Download PDF	607
OUVRAGES CITÉS Requires Authentication Unlicensed Licensed Download PDF	621

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