What basic concepts of algebra were developed by the Muslims?

Answer 1

Muslim scholars made significant contributions to algebra during the Islamic Golden Age, particularly through the work of Al-Khwarizmi, who is often referred to as the "father of algebra." He introduced systematic methods for solving linear and quadratic equations and emphasized the importance of algorithms. The term "algebra" itself derives from his seminal work, "Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala," which laid foundational concepts such as the manipulation of equations and the use of symbols to represent unknowns. These developments greatly influenced later European mathematics and the evolution of algebra as a discipline.