Travelling Mathematics - The Fate of Diophantos' Arithmetic

  • Ad Meskens
Part of the Science Networks. Historical Studies book series (SNHS, volume 41)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Ad Meskens
    Pages 27-41
  3. Ad Meskens
    Pages 43-102
  4. Ad Meskens
    Pages 103-122
  5. Ad Meskens
    Pages 123-132
  6. Ad Meskens
    Pages 133-138
  7. Ad Meskens
    Pages 139-153
  8. Ad Meskens
    Pages 155-169
  9. Ad Meskens
    Pages 171-172
  10. Ad Meskens
    Pages 173-175
  11. Back Matter
    Pages 177-208

About this book

Introduction

In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika’s 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos’ work in both Arab and European mathematical cultures. Once Xylander’s critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet’s translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous “Last Theorem”, were the starting point of a whole new research subject: the theory of numbers.

Keywords

Arithmetika Development of mathematics Diophantos Renaissance algebra

Authors and affiliations

  • Ad Meskens
    • 1
  1. 1., Department Bedrijfskunde, ...Artesis Hogeschool AntwerpenAntwerpenBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0346-0643-1
  • Copyright Information Springer Basel AG 2010
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0346-0642-4
  • Online ISBN 978-3-0346-0643-1