Algebra was invented by the Muslim mathematician Al-Khwarizmiin the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation", and the word "algorithm" comes from the author's name, Al-Khwarizmi. He is rightly known as "the father of Algebra".
-J. J. O'Conner and E. F. Robertson wrote in the MacTutor History of Mathematics archive