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

- Jean Christianidis, Jeffrey A. Oaks
- Mathematics
- 1 May 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,… Expand

Al-Khayyām’s Scientific Revision of Algebra

- Jeffrey A. Oaks
- 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… Expand

Māl, enunciations, and the prehistory of Arabic algebra

- Jeffrey A. Oaks, H. Alkhateeb
- Mathematics
- 1 November 2005

Abstract Medieval Arabic algebra books intended for practical training generally have in common a first “book” which is divided into two sections: one on the methods of solving simplified equations… Expand

Polynomials and equations in arabic algebra

- Jeffrey A. Oaks
- Mathematics
- 1 March 2009

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… Expand

Simplifying equations in Arabic algebra

- Jeffrey A. Oaks, H. Alkhateeb
- Mathematics
- 1 February 2007

Abstract Historians have always seen jabr (restoration) and muqābala (confrontation) as technical terms for specific operations in Arabic algebra. This assumption clashes with the fact that the words… Expand

POLYNOMIALS AND EQUATIONS IN MEDIEVAL ITALIAN ALGEBRA

- Jeffrey A. Oaks
- Mathematics
- 2010

A recent study (Oaks 2009) shows that the medieval Arabic concepts of polynomial and equation differ from those of modern algebra. We present here a continuation of this study for medieval Italian… Expand

Irrational “Coefficients” in Renaissance Algebra

- Jeffrey A. Oaks
- Sociology, MedicineScience in Context
- 1 June 2017

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Medieval Arabic Algebra as an Artificial Language

- Jeffrey A. Oaks
- Philosophy
- 1 December 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… Expand

ALGEBRAIC SYMBOLISM IN MEDIEVAL ARABIC ALGEBRA

- Jeffrey A. Oaks
- Computer Science
- 2012

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