• Corpus ID: 16682432

The Abbacus Tradition : the Missing Link between Arabic and Early Symbolic Algebra ?

@inproceedings{June2009TheAT,
  title={The Abbacus Tradition : the Missing Link between Arabic and Early Symbolic Algebra ?},
  author={Albrecht Heeffer June},
  year={2009}
}
Abbaco algebra is a coherent tradition of arithmetical and algebraic problem solving, mostly based in the merchant cities of fourteenth and fifteenth-century Italy. This period is roughly situated between two important works dealing with algebra: the Liber Abbaci by Fibonacci (1202) [5] and the Summa di Arithmetica et Geometria by Luca Pacioli (1492) [20]. Such continuous tradition of mathematical practice was hardly known before the first transcriptions of extant manuscripts by Gino Arrighi… 
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References

SHOWING 1-10 OF 36 REFERENCES
Text production reproduction and appropriation within the abbaco tradition: a case study
TLDR
This paper presents a chapter on algebra from an abbaco treatise on arithmetic, providing a critical edition in line with the Latin scholarly tradition and an English translation.
A Conceptual Analysis of Early Arabic Algebra
TLDR
It is argued that the concept of a symbolic equation as it emerges in algebra textbooks around 1550 is fundamentally different from the ‘equation’ as known in Arabic algebra.
Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation
First published in 1202, Fibonacci's "Liber abaci" was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe.Its author,
Jacopo da Firenze and the Beginning of Italian Vernacular Algebra
From the second unknown to the symbolic equation
The symbolic equation slowly emerged during the course of the sixteenth century as a new mathematical concept as well as a mathematical object on which new operations were made possible. Where
The algebra of master Dardi of Pisa
The Algebra of Mohammed ben Musa
Volume 1 1. The Algebra of Mohammed ben Musa, London, Oriental Translation Fund 19, 1831 Volume 2 2. Practical Philosophy of the Muhammadan People, from the Persian of Fakir Jany Muhammad Asaad:
Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture
how a general history can be truly general with silences or quietudes on this scale. This feature is heightened by the final chapter of the second volume, a prediction of future progress in
Summa de arithmetica, geometria, proportioni et proportionalita
Here we present the relevant text of the Summa of Pacioli[1] associated with the division of stakes and a translation of it into English. A translation into German appears in the anthology of Ivo
The Regula Quantitatis: from the second unknown to the symbolic equation " , monograph, forthcoming
  • The Regula Quantitatis: from the second unknown to the symbolic equation " , monograph, forthcoming
  • 2009
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