Abu Bakr Mu?ammad ibn al ?asan al-Karaji (Persian: ??? ??? ???? ?? ????? ???????; c.
953 – c.
1029) was a 10th-century Persian mathematician and engineer who flourished at Baghdad.
He was born in Karaj, a city near Tehran.
His three principal surviving works are mathematical: Al-Badi' fi'l-hisab (Wonderful on calculation), Al-Fakhri fi'l-jabr wa'l-muqabala (Glorious on algebra), and Al-Kafi fi'l-hisab (Sufficient on calculation).