Al-Khwarizmi

Al-Khwarizmi

AD 780 - AD 850 (approx.)
Born in Khiva
Active in Baghdad
Islamic Golden Age

LifeDeep Story

A Persian mathematician-astronomer at Baghdad's House of Wisdom (Bayt al-Hikma). His c. 820 Al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wa-l-Muqābala (the Compendious Book on Calculation by Completion and Balancing) created a new mathematics for handling unknowns systematically — algebra. His Latinized name, Algorithmi, became our word algorithm.

In one line
I have composed a short work on calculating by completion and balancing, confining it to what is easiest and most useful in arithmetic.

Decisive moments

AD 813

Working in Baghdad under al-Maʾmūn

Baghdad

He worked on astronomy, geography, and mathematics within al-Maʾmūn's environment of library and scholarly patronage. Sparse evidence cautions against treating the House of Wisdom as a modern institute with known job titles.

AD 820

Al-jabr — systematizing equation types

He classified linear and quadratic equations and solved them through restoration and balancing, expressed in words and geometry rather than modern symbolic algebra.

AD 825

A work on Indian calculation and its Latin afterlife

The lost work on Indian calculation is known through later Arabic tradition and a twelfth-century Latin translation. The numeral system also travelled through other texts and commercial routes.

If this person hadn't existed

This is a thought experiment about influence, not a verified historical fact.

Hindu-Arabic numerals and equation methods moved along more than one route. Al-Khwarizmi's books were especially influential nodes in that network, and their translations even generated new vocabulary for systematic calculation.

Key achievements1

Systematization of Algebra

AD 820

Established systematic methods for solving equations; his name is the source of the word algorithm.

Places of activity

Baghdad

Research at the House of Wisdom

Influence network

Influenced

Beyond MathVoyage

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