Al-Khwarizmi

About this figure

Very little is known about the personal life of Muhammad ibn Musa al-Khwarizmi, and even his dates are given only approximately, with historians placing his birth around 780, probably in the Khwarazm region south of the Aral Sea in Central Asia, and his death around 850, likely in Baghdad. What is known comes almost entirely from his own surviving works and brief references by later Islamic scholars. He worked during the reign of the Abbasid Caliph al-Ma'mun at the House of Wisdom in Baghdad, an institution devoted to translation and scholarship that drew together Greek, Persian, and Indian learning, where al-Khwarizmi produced works on mathematics, astronomy, and geography.

His most consequential work is a treatise usually known by the short title Al-Jabr, composed around 820, which set out systematic methods for solving linear and quadratic equations by the operations of "restoring" and "balancing" terms across an equation; the Arabic word al-jabr, meaning roughly "restoration," gave rise to the modern word "algebra." The book worked entirely in prose rather than modern symbolic notation, but organized equation-solving into recognizable general categories and methods for the first time, in a form intended for practical use in matters such as inheritance law, trade, and land surveying. A separate treatise on arithmetic using the Hindu-Arabic numerals, known mainly through a later Latin translation, helped introduce the decimal positional number system to the Islamic world and eventually to Europe; the Latinized form of his name, Algoritmi, is the source of the modern word "algorithm." He also produced astronomical tables and a geographical work listing coordinates for cities across the known world. Beyond this body of work, no details survive of his family, his education, or his character.

Written by Epoch Voices. Not the figure’s own words.