Māl, enunciations, and the prehistory of Arabic algebra

@article{Oaks2005MlEA,
  title={Māl, enunciations, and the prehistory of Arabic algebra},
  author={Jeffrey A. Oaks and Haitham M. Alkhateeb},
  journal={Historia Mathematica},
  year={2005},
  volume={32},
  pages={400-425}
}
Algebraic symbolism in medieval Arabic algebra
TLDR
In this article the notation, its context, and how it differs from modern notation are explained.
Polynomials and equations in arabic algebra
It is shown in this article that the two sides of an equation in the medieval Arabic algebra are aggregations of the algebraic “numbers” (powers) with no operations present. Unlike an expression such
Medieval Arabic Algebra as an Artificial Language
Medieval Arabic algebra is a good example of an artificial language.Yet despite its abstract, formal structure, its utility was restricted to problem solving. Geometry was the branch of mathematics
Series of problems in Arabic algebra: The example of ʿAlī al-Sulamī
In his introductory book on algebra ʿAlī al-Sulamī (10th c.) pays careful attention to the arrangement of his 78 worked-out problems, balancing his borrowings with his overall structure. His
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.
The way of Diophantus: Some clarifications on Diophantus' method of solution
Proofs and algebra in al-Fārisī's commentary
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References

SHOWING 1-10 OF 24 REFERENCES
A Newly-Discovered Partial Hebrew Version of al-Khwārizmī's Algebra
The purpose of this brief note is to announce the discovery of a short Hebrew text that I have identified as an adaptation of the famous Algebra by Muhammad ibn Musa al-Khwârizmi (ninth century).
On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”
For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s,
Sub-Scientific Mathematics: Observations on a Pre-Modern Phenomenon
ly seen, this is once more the simple problem x 2+ax = b. But the wording is different from that used in the beginning, and so is the procedure." which locates "the four fronts" as four rectangles of
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:
A dictionary of modern written Arabic : (Arabic-English)
A Dictionary of Modern written Arabic, Arabic-English , A Dictionary of Modern written Arabic, Arabic-English , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی
L'algèbre au Moyen Âge : le « Liber mensurationum » d'Abû Bekr
Busard Hubert. L.L. L'algebre au Moyen Âge : le « Liber mensurationum » d'Abu Bekr. In: Journal des savants, 1968, n°2. pp. 65-124.
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