# Polynomials and equations in arabic algebra

@article{Oaks2009PolynomialsAE, title={Polynomials and equations in arabic algebra}, author={Jeffrey A. Oaks}, journal={Archive for History of Exact Sciences}, year={2009}, volume={63}, pages={169-203} }

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 as our 3x + 4, the Arabic polynomial “three things and four dirhams” is merely a collection of seven objects of two different types. Ideally, the two sides of an equation were polynomials so the Arabic algebraists preferred to work out all operations of the enunciation to a problem before stating…

## 18 Citations

ALGEBRAIC SYMBOLISM IN MEDIEVAL ARABIC ALGEBRA

- Computer Science
- 2012

In this article the notation, its context, and how it differs from modern notation are explained.

Medieval Arabic Algebra as an Artificial Language

- Philosophy
- 2007

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…

Practicing algebra in late antiquity: The problem-solving of Diophantus of Alexandria

- Mathematics
- 2013

Abstract Medieval algebra is distinguished from other arithmetical problem-solving techniques by its structure and technical vocabulary. In an algebraic solution one or several unknowns are named,…

Two Cases Illustrating the History of Algebraic Expressions

- MathematicsEMS Newsletter
- 2019

32 EMS Newsletter September 2019 Al-Karajı ’s school of arithmetician-algebraists One of the major accomplishments of ninth-century algebraists such as al-Khwarizmı − and Abu Kamil was the…

Irrational “Coefficients” in Renaissance Algebra

- Sociology, MedicineScience in Context
- 2017

The debate took place entirely in the conceptual context of premodern, “cossic” algebra, and persisted in the sixteenth century independent of the development of the new algebra of Viète, Decartes, and Fermat.

Al-Khayyām’s Scientific Revision of Algebra

- Mathematics
- 2011

Geometers in medieval Islam found algebra to be a useful tool in solving problems, but the Greek restriction of “number” to positive integers, adhered to by al-Khayyām (and presumably others), is at…

Automatic Extraction of Equations in Medieval Arabic Algebra

- Computer Science2018 IEEE/ACS 15th International Conference on Computer Systems and Applications (AICCSA)
- 2018

A simple machine translation system using Rule-based Machine Translation with Dictionary Approach in order to translate medieval verbal equation to a modern equation and was able to achieve correct translation results for cubic equations with 100% accuracy.

Proofs and algebra in al-Fārisī's commentary

- MathematicsHistoria Mathematica
- 2019

Abstract The Persian mathematician al-Fārisī (late thirteenth century) wrote a commentary on a practical arithmetic book as a means of giving techniques associated with mental reckoning a foundation…

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- Mathematics
- 2018

Françios Viète (1540–1603) was a geometer in search of better techniques for astronomical calculation. Through his theorem on angular sections he found a use for higher-dimensional geometric…

A new analytical framework for the understanding of Diophantus’s Arithmetica I–III

- Mathematics
- 2012

This study is the foundation of a new interpretation of the introduction and the three first books of Diophantus’s Arithmetica, one that opens the way to a historically correct contextualization of…

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