850 - 930 Abu Kamil Shuja ibn Aslam ibn Muhammad ibn Shuja)
[mathematics] born Abu Kamil of
Egypt (full name, Forms an important link in the development of algebra between
al-Khwarizmi and al-Karaji. Despite not using symbols, but writing powers of x
in words, he had begun to understand what we would write in symbols as .
Abū Kāmil, Shujāʿ ibn Aslam
ibn Muḥammad Ibn Shujāʿ (Latinized as Auoquamel,[1] Arabic: ابو
كامل, also known as al-ḥāsib al-miṣrī—lit. "the Egyptian
reckoner") (c. 850 – c. 930) was an Egyptian Muslim mathematician during the Islamic Golden Age. He is considered the first
mathematician to systematically use and accept irrational
numbers as
solutions and coefficients to equations.[2]His
mathematical techniques were later adopted by Fibonacci,
thus allowing Abu Kamil an important part in introducing algebra to Europe.[3]
Abu Kamil made important contributions to algebra and geometry.[4] He was the first Islamic mathematician to work easily with algebraic
equations with powers higher than
(up to
),[3][5] and solved sets of non-linear simultaneous equations with three unknown variables.[6] He wrote all problems rhetorically,
and some of his books lacked any mathematical notation beside those of integers. For example,
he uses the Arabic expression "māl māl shayʾ"
("square-square-thing") for
(i.e.,
).[3][7]
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