Books IV to VII of Diophantus’ Arithmetica

in the Arabic Translation Attributed to Qustā ibn Lūqā

  • Jacques Sesiano

Part of the Sources in the History of Mathematics and Physical Sciences book series (SOURCES, volume 3)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Jacques Sesiano
      Pages 3-20
    3. Jacques Sesiano
      Pages 21-47
  3. Translation

  4. Mathematical Commentary

    1. Front Matter
      Pages 173-173
    2. Jacques Sesiano
      Pages 175-222
    3. Jacques Sesiano
      Pages 223-243
    4. Jacques Sesiano
      Pages 244-260
    5. Jacques Sesiano
      Pages 261-279
  5. Text

    1. Front Matter
      Pages 281-282
    2. Jacques Sesiano
      Pages 283-351
    3. Jacques Sesiano
      Pages 352-373
    4. Jacques Sesiano
      Pages 374-402
    5. Jacques Sesiano
      Pages 403-429
  6. Back Matter
    Pages 431-502

About this book


This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep­ tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com­ mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.


DEX Mathematica Slate algebra arithmetic constant construction eXist history of mathematics interpolation mathematics object polynomial time university

Authors and affiliations

  • Jacques Sesiano
    • 1
  1. 1.GenèveSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1982
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8176-1
  • Online ISBN 978-1-4613-8174-7
  • Series Print ISSN 0172-6315
  • Buy this book on publisher's site