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Practicing algebra in late antiquity: The problem-solving of Diophantus of Alexandria
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,
Al-Khayyām’s Scientific Revision of Algebra
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
Māl, enunciations, and the prehistory of Arabic algebra
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
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
Simplifying equations in Arabic algebra
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
POLYNOMIALS AND EQUATIONS IN MEDIEVAL ITALIAN ALGEBRA
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
Irrational “Coefficients” in Renaissance Algebra
TLDR
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.
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
ALGEBRAIC SYMBOLISM IN MEDIEVAL ARABIC ALGEBRA
TLDR
In this article the notation, its context, and how it differs from modern notation are explained.
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