Character Catalog

A foundational work of modern algebra that systematizes methods for solving equations. This treatise establishes the basic principles of algebra as an autonomous mathematical discipline.

A treatise describing the Indo-Arabic decimal numeration system and the use of zero. This work was crucial in spreading the modern numeral system to the West.

Trigonometric tables developed for astronomical and geographical calculations. They represent a major advancement in the development of trigonometry.

A cartographic work depicting the extent of lands known under the Abbasid Caliphate. This map reflects the importance given to geography in the medieval Islamic world.

A geographical treatise describing the regions of the known world with geographical coordinates. This work combines practical geography and mathematical calculations.

Formalization of step-by-step calculation procedures, whose name derives from the Latinized form of his name (Algoritmi). This method is the origin of the modern concept of the algorithm.

This work sets out methods for solving first- and second-degree equations, thereby establishing algebra as an autonomous mathematical discipline. Al-Khwarizmi demonstrates how to restore (al-jabr) and balance (al-muqabala) terms in order to solve mathematical problems.

This treatise presents the Indo-Arabic decimal numeral system and its arithmetic operations, enabling the spread of this revolutionary system throughout the Islamic world and subsequently into Europe.

A geographical work listing the coordinates and positions of cities, seas, and mountains of the known world, reflecting the geographical knowledge of the 9th century and the scientific rigour of al-Khwarizmi.

Al-Khwarizmi contributed to mathematical astronomy by developing tables and methods for computing the positions of celestial bodies, which were integrated into later Islamic astronomical traditions.

Historical region of Central Asia (present-day Uzbekistan) from which al-Khwārizmī takes his name. It is his place of origin and the center of his intellectual formation.

Capital of the Abbasid Empire where al-Khwārizmī spent most of his career, working at the House of Wisdom. It is there that he wrote his major works.

Prestigious institution in Baghdad founded by Caliph al-Maʾmūn where al-Khwārizmī worked as a mathematician and astronomer. It is the birthplace of his revolutionary discoveries in algebra.

Major cultural center of Central Asia where al-Khwārizmī's works spread. The city was a key crossroads of scientific and commercial exchange.

Region of medieval Spain where translations and adaptations of al-Khwārizmī's works circulated during the Middle Ages, contributing to the transmission of mathematical knowledge to Europe.

Major center of learning in the Arab world where al-Khwārizmī's texts were studied and copied. His ideas circulated widely within Egyptian institutions.

Astronomical instrument used to measure the position of celestial bodies. Al-Khwārizmī used it for his work in astronomy and geography, disciplines closely related to his mathematical research.

A medium used to write and calculate with the decimal numeral system that Al-Khwārizmī popularized in the West. These digits (0, 1, 2, 3...) revolutionized mathematics.

His major work on algebra, written in the 9th century. The title contains the word 'al-jabr', which gave rise to the term 'algebra'.

An ancient calculation tool used in the Middle Ages for arithmetic operations. It represents the earlier calculation methods that Al-Khwārizmī sought to improve upon with the decimal system.

A representation of geographical knowledge from the 9th century. Al-Khwārizmī contributed to geography and carried out cartographic work for Caliph al-Ma'mun.

Essential writing tools for documenting mathematical and scientific treatises. Al-Khwārizmī used these instruments to set down his discoveries in writing.

Geometry instruments used for mathematical constructions. They symbolize geometry, a discipline complementary to algebra in the mathematician's body of work.