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}
}
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21 Citations
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Methods Citations
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21 Citations

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Simplifying equations in Arabic algebra
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…
Practicing algebra in late antiquity: The problem-solving of Diophantus of Alexandria
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
The Liber Restauracionis: A newly discovered copy of a mediæval algebra in Florence
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    Historia Mathematica
  • 2019
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