c. 830 CE / West Asia & North Africa
Al-Khwarizmi organizes equation-solving into algebra
Al-Khwarizmi systematically explains linear and quadratic equations for practical needs such as inheritance, trade and measurement.
The story
Working in Abbasid Baghdad, he classified equations and explained repeatable procedures in words, without modern letter-based notation. Geometry supported the reasoning. Algebra had earlier histories in several places; this Arabic work's importance lies in systematization and transmission, not one person's invention of the entire subject.
Connections and context
Al-jabr entered European mathematical vocabulary. The transmission of Indian numerals concerned another strand of his writings, not the same single invention.
Dates and precision
c. 830 CE Approximate year
An estimated date from the surviving evidence, not a claim about one exact year.
Representative map location
Baghdad
His city of scholarly activity under Abbasid patronage, not the exact position of an institutional building.
Representative coordinates · 33.34°, 44.4°
A marker identifies one representative place, such as a manuscript collection, laboratory or observing site. It does not mean the work happened only there, or assign a shared discovery to one country.
Bibliography
- University of St Andrews, MacTutor | Al-Khwarizmi's algebra
- University of St Andrews | Al-Khwarizmi, Dictionary of Scientific Biography
References are listed as plain bibliography titles. They support particular facts or context; a reference does not certify every interpretation in a story.