## Digital Al-Khwarizmi Experience

**Muḥammad ibn Mūsā al-Khwārizmī**^{} (Persian: c. 780 – c. 850), or **al-Khwarizmi** and formerly Latinized as * Algorithmi*, was a Persian polymath who produced vastly influential works in mathematics, astronomy, and geography. Around 820 CE he was appointed as the astronomer and head of the library of the House of Wisdom in Baghdad.

^{}Al-Khwarizmi’s popularizing treatise on algebra (

*The Compendious Book on Calculation by Completion and Balancing*, c. 813–833) presented the first systematic solution of linear and quadratic equations. One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications.

^{}Because he was the first to treat algebra as an independent discipline and introduced the methods of “reduction” and “balancing” (the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation),

^{}he has been described as the father

^{}

^{}

^{}or founder

^{}

^{}of algebra. The term

*algebra*itself comes from the title of his book (the word

*al-jabr*meaning “completion” or “rejoining”).

^{}His name gave rise to the terms

*algorism*and

*algorithm,*

^{}as well as Spanish and Portuguese terms

*algoritmo,*and Spanish

*guarismo*

^{}and Portuguese

*algarismo*meaning “digit“.