The Muslim mind has always been attracted to the mathematical sciences in accordance with the "abstract" character of the doctrine of Oneness which lies at the heart of Islam. The mathematical sciences have traditionally included astronomy, mathematics itself and much of what is called physics today.
In astronomy the Muslims integrated the astronomical traditions of the Indians, Persians, the ancient Near East and especially the Greeks into a synthesis which began to chart a new chapter in the history of astronomy from the 8th century onward. The Almagest of Ptolemy, whose very name in English reveals the Arabic origin of its Latin translation, was thoroughly studied and its planetary theory criticized by several astronomers of both the eastern and western lands of Islam leading to the major critique of the theory by Nasir al-Din al-Tusi and his students, especially Qutb al-Din al-Shirazi, in the 13th century.
The Muslims also observed the heavens carefully and discovered many new stars. The book on stars of 'Abd al-Rahman al-Sufi was in fact translated into Spanish by Alfonso X el Sabio and had a deep influence upon stellar toponymy in European languages. Many star names in English such as Aldabran still recall their Arabic origin. The Muslims carried out many fresh observations which were contained in astronomical tables called Zij. One of the acutest of these observers was al-Battani whose work was followed by numerous others. The Zij of al-Ma'mun observed in Baghdad, the Hakimite Zij of Cairo, the Toledan Tables of al-Zarqali and his associated, the II-Khanid Zij of Nasir al-Din al-Tusi observed in Maraghah, and the Zij of Ulugh-Beg from Samarqand are among the most famous Islamic astronomical tables.