What mathematic advances happened during the Abbasid Caliphate?

During the Abbasid Caliphate, significant mathematical advances included the development of algebra, largely attributed to the mathematician Al-Khwarizmi, who wrote the seminal work "Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala." This period also saw the introduction of Hindu-Arabic numerals, which replaced Roman numerals and facilitated calculations. Additionally, scholars made progress in trigonometry, particularly in the use of sine and cosine functions, and developed methods for solving quadratic equations. These advancements laid the groundwork for future developments in mathematics and influenced European scholarship during the Renaissance.