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Books IV to VII of Diophantus’ Arithmetica

in the Arabic Translation Attributed to Qustā ibn Lūqā

  • Book
  • © 1982

Overview

Authors:
  1. Jacques Sesiano

    1. Genève, Switzerland

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. The Four Arabic Books and the Arithmetica

      • Jacques Sesiano
      Pages 3-20

    3. The Extant Arabic Text

      • Jacques Sesiano
      Pages 21-47

    4. Tentative Reconstruction of the History of the Arithmetica

      • Jacques Sesiano
      Pages 48-84

  4. Mathematical Commentary

    1. Front Matter

      Pages 173-173
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    2. Book IV

      • Jacques Sesiano
      Pages 175-222

    3. Book V

      • Jacques Sesiano
      Pages 223-243

    4. Book VI

      • Jacques Sesiano
      Pages 244-260

    5. Book VII

      • Jacques Sesiano
      Pages 261-279

  5. Text

    1. Front Matter

      Pages 281-282
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    2. Book IV

      • Jacques Sesiano
      Pages 283-351

    3. Book V

      • Jacques Sesiano
      Pages 352-373

    4. Book VI

      • Jacques Sesiano
      Pages 374-402

    5. Book VII

      • Jacques Sesiano
      Pages 403-429
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Keywords

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.

Authors and Affiliations

  • Genève, Switzerland

    Jacques Sesiano

Bibliographic Information

  • Book Title: Books IV to VII of Diophantus’ Arithmetica

  • Book Subtitle: in the Arabic Translation Attributed to Qustā ibn Lūqā

  • Authors: Jacques Sesiano

  • Series Title: Sources in the History of Mathematics and Physical Sciences

  • DOI: https://doi.org/10.1007/978-1-4613-8174-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1982

  • Softcover ISBN: 978-1-4613-8176-1Published: 14 October 2011

  • eBook ISBN: 978-1-4613-8174-7Published: 06 December 2012

  • Series ISSN: 0172-6315

  • Edition Number: 1

  • Number of Pages: XII, 502

  • Topics: Algebra

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