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Science Networks. Historical Studies

Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture

Authors: Høyrup, Jens

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  • Features an abbacus text from the late medieval Italian period, with an English translation
  • Includes an extensive discussion of the contents and its location within early abbacus culture
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eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-7643-8391-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-7643-8390-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

In the city republics of Renaissance Italy, it was a common practice among the merchant class to send sons for a two-year course of study at an "abbacus school", where they learned practical, mostly commercial mathematics, known as abbaco. From this school institution, several hundred manuscripts survive, all in Italian, often containing not only what the masters needed in their teaching but also algebra or other advanced mathematical material. A signal feature of the book by Jens Høyrup is the first translation of one of these abbacus manuscripts into English.

The abbacus books have long been supposed to be reduced versions of Leonardo Fibonacci’s Liber abbaci. Analysis of early abbacus books, not least of the first specimen treating of algebra – Jacopo da Firenze’s Tractatus algorismi from 1307 – shows instead that abbacus mathematics was an exponentof a more widespread culture of commercial mathematics, already known by Fibonacci, and probably flourishing in Provence and/or Catalonia before it reached Italy. Abbacus algebra – eventually the main inspiration for the algebraic breakthrough of the 16th and 17th centuries – was inspired from a Romance-speaking region outside Italy, most likely located in the Provençal-Catalan area, and ultimately from a similar practitioners’ level of Arabic mathematics.

The book contains, along with the English translation, an edition of Jacopo’s Tractatus and a commentary analyzing Jacopo’s mathematics and its links to Provençal, Catalan, Arabic, Indian and Latin medieval mathematics. It will provide historians of mathematics and mathematics teachers with a new perspective on a period and on processes which eventually reshaped the whole mathematical enterprise in the 17th century.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-7643-8391-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-7643-8390-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture
Authors
Series Title
Science Networks. Historical Studies
Series Volume
34
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8391-6
DOI
10.1007/978-3-7643-8391-6
Hardcover ISBN
978-3-7643-8390-9
Series ISSN
1421-6329
Edition Number
1
Number of Pages
XII, 482
Topics