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The Liber mahameleth

A 12th-century mathematical treatise

  • Jacques Sesiano

Table of contents

  1. Front Matter
    Pages i-xciii
  2. Jacques Sesiano
    Pages 1-7
  3. Jacques Sesiano
    Pages 28-65
  4. Jacques Sesiano
    Pages 66-83
  5. Jacques Sesiano
    Pages 84-130
  6. Jacques Sesiano
    Pages 152-169
  7. Jacques Sesiano
    Pages 221-223
  8. Jacques Sesiano
    Pages 224-266
  9. Jacques Sesiano
    Pages 267-299
  10. Jacques Sesiano
    Pages 300-305
  11. Jacques Sesiano
    Pages 306-310
  12. Jacques Sesiano
    Pages 311-315
  13. Jacques Sesiano
    Pages 316-323
  14. Jacques Sesiano
    Pages 324-332
  15. Jacques Sesiano
    Pages 333-344
  16. Jacques Sesiano
    Pages 345-355
  17. Jacques Sesiano
    Pages 356-359
  18. Jacques Sesiano
    Pages 360-419
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    Pages 420-429
  20. Jacques Sesiano
    Pages 430-447
  21. Jacques Sesiano
    Pages 448-463
  22. Jacques Sesiano
    Pages 464-474
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    Pages 475-486
  24. Jacques Sesiano
    Pages 487-494
  25. Jacques Sesiano
    Pages 495-534
  26. Jacques Sesiano
    Pages 535-542
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    Pages 543-566
  28. Jacques Sesiano
    Pages 567-568
  29. Jacques Sesiano
    Pages 569-572
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    Pages 573-577
  31. Jacques Sesiano
    Pages 579-579
  32. Jacques Sesiano
    Pages 581-587
  33. Jacques Sesiano
    Pages 605-638
  34. Jacques Sesiano
    Pages 639-654
  35. Jacques Sesiano
    Pages 711-725
  36. Jacques Sesiano
    Pages 777-779
  37. Jacques Sesiano
    Pages 780-816
  38. Jacques Sesiano
    Pages 817-842
  39. Jacques Sesiano
    Pages 843-847
  40. Jacques Sesiano
    Pages 852-855

About this book

Introduction

The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time; There are few extant Arabic texts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later).

Since the three main manuscripts preserving it are incomplete and there are many scribal errors, a reliable Latin text has been established, which reports (in notes) the various readings of the manuscripts and the errors in them. This is how a so-called critical edition is made. This edition of the Latin text is preceded by General Introduction, describing the various manuscripts, the content of the work and what we know about its author.

Part Two of the volume is a translation of the text and ends with a glossary of Latin terms. The glossary will be of great importance for the knowledge of Latin scientific terms from that time, since there is no other mathematical text of this size from the 12th century. Part Three begins with a short introduction and then analyzes all the problems from the text, with a summary of the mathematical methods involved in each chapter. The commentary is a companion to the translation and explains the author's solving methods.

Keywords

Liber Mahameleth Muhammad al-Khwarizmi arithmetical theory mathematics in Islamic Spain mathematics in the Latin Middle Ages metrology

Authors and affiliations

  • Jacques Sesiano
    • 1
  1. 1.Département de MathématiquesEcole polytechnique fédéraleLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03940-4
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03939-8
  • Online ISBN 978-3-319-03940-4
  • Series Print ISSN 2196-8810
  • Series Online ISSN 2196-8829
  • Buy this book on publisher's site