Early education with father, uncles, and Kamāl al-Dīn al-Ḥāsib (ca . 603-10/1206-13); studies with Shī`ite jurist Mu`īn al-Dīn in Iraq (619/1222); studies astronomy and mathematics with Kamāl al-Dīn b. Yūnus in Mosul (ca. 625/1228); finds patron in Naṣir al-Dīn Muḥtasham, Ismā`īlī governor of Qūhistān (ca. 630/1233);  begins service to Hülegü (654/1256); construction of Marāgha observatory begins under his direction (657/1259) [Ragep, Tadhkira]