- the House of Wisdom
- Baghdad's great library of science, where he worked in al-Ma'mun's era
- al-Jabr wa-l-Muqabala
- his book that gave algebra both its name and its method
- algebra
- the science of algebra his book founded for the world
- the algorithm
- the word derived from his name that computers run on today
- the Indian numerals
- the numerals he carried from India into the lands of Islam
- the Arabic numerals
- what Europe later called Arabic numerals — Indian in origin
- Baghdad
- his city, which was then the center of the Abbasid world's science
- 820
- the rough era of his work inside the House of Wisdom
- astronomy
- the science of the stars, in which he wrote his famous tables
- geography
- the science of the earth, in which he described the old world
- al-Ma''mun
- the caliph in whose era the House of Wisdom flourished
- the earth''s surface
- the subject of his geography book, which mapped the earth's surface
