- al-Khwarizmi
- the scholar whose book named this science until our own day
- restoration and balancing
- the word's meaning that became the science's own name in every tongue
- algorithm
- the word that came from its author's name into every tongue
- the equation
- the problem algebra solves with its ordered steps, one after another
- the unknown term
- the element the solution seeks inside the given problem itself
- Baghdad
- the city of the book and of learning in his era
- inheritance
- algebra's most applied field in people's daily practical lives
- reckoning
- the old art of reckoning, centuries before algebra ever came
- balancing
- the balancing of the two sides in a single equation
- the Compendious Book
- the full name of al-Khwarizmi's book that founded the science
- the Latin translation
- the language that carried him to the West in the Middle Ages
- algebra
- the name we call the science by in our own day
