Mathematics in medieval Islam
（重定向自Arabian mathematics）
![A page from the The Compendious Book on Calculation by Completion and Balancing by Al-Khwarizmi.](/Images/godic/202412/21/Image-Al-Kitāb_al-muḫtaṣar_fī_ḥisāb_al-ğabr_wa-l-muqābala0238.jpg")
![](/Images/godic/202412/21/Khayyam-paper-1stpage0238.png")
![To solve the third-degree equation x3 + a2x = b Khayyám constructed the parabola x2 = ay, a circle with diameter b/a2, and a vertical line through the intersection point. The solution is given by the length of the horizontal line segment from the origin to the intersection of the vertical line and the x-axis.](/Images/godic/202412/21/Omar_Kayyám_-_Geometric_solution_to_cubic_equation.svg0238.png")
The history of mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, building on Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta), saw important developments, such as the full development of the decimal place-value system to include decimal fractions, the first systematised study of algebra (named for The Compendious Book on Calculation by Completion and Balancing by scholar Al-Kwarizmi), and advances in geometry and trigonometry.