Genesis of a “Diophantine equation” in Arabic mathematics | ASJP

RIST
Volume 25, Numéro 1, Pages 91-101
2020-12-22

Genesis Of A “diophantine Equation” In Arabic Mathematics

Authors : Kchir Khaled . Toumi Saif-eddin . Nafti Foued .

Abstract

We intend in this paper to outline one part of the number theory genesis relatively to the equation: a square plus/minus a number equals a square focusing on the Arabic mathematicians’ works, like, for example, those of al-Khazin, Ibn al- Laith, al-Karaji, al-Baghdadi and al-Khallat. We will then briefly describe the occidental tradition relative to his subject threw the works of Fibonacci, Fermat, Frenecle, Euler, and others.

Keywords

Arabic mathematics, the number theory, Diophantus, al-Khazin, Ibn al-Laith, al-Karaji, al-Baghdadi, al-Khallaṭ, Fibonacci, Fermat, Euler, Frenecle.

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