Averroes was a philosopher under which philosophical movements  such as Aristotelianism and the 13th-century philosophical movement  came into play in what other religions beside Islam?
Aristotelianism Aristotelianism ( ) is a tradition of philosophy that takes its defining inspiration from the work of Aristotle. This school of thought is in the modern sense of philosophy, covering existence, ethics, mind and related subjects. In Aristotle's time, philosophy included natural philosophy, which was replaced by modern science during the Scientific Revolution. The works of Aristotle were initially defended by the members of the Peripatetic school and later on by the Neoplatonists, who produced many commentaries on Aristotle's writings. In the Islamic Golden Age, Ibn Sina and Ibn Rushd translated the works of Aristotle into Arabic and under philosophers such as Al-Kindi, Al-Farabi, Avicenna and Averroes, Aristotelianism became a major part of early Islamic philosophy.
Mathematics in medieval Islam Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built on Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta). Important progress was made, 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-Khwarizmi), and advances in geometry and trigonometry.