The word algebra comes from the title of a book called Al-Jabr, written around the year 820 by a Persian mathematician named Muhammad ibn Musa al-Khwarizmi at the House of Wisdom in Baghdad — and the word algorithm comes from the Latinized version of his name

Two of the most substantially used words in the current global vocabulary of mathematics and computing come from the same 9th-century Persian scholar working in the same Baghdad library across approximately the same twenty-year period between 813 and 833 CE. The first — “algebra” — is derived from the title of the specific book he [...] The post The word algebra comes from the title of a book called Al-Jabr, written around the year 820 by a Persian mathematician named Muhammad ibn Musa al-Khwari