Beltrami studied at Pavia from 1853 to 1856, and there he was taught by Brioschi who had been appointed as professor of applied mathematics at the University of Pavia the year before Beltrami began his studies.
Beltrami-aral sa Pavia 1853-1856, at doon siya ay tinuturuan sa pamamagitan ng Brioschi na ay hinirang bilang propesor ng inilalapat sa matematika sa University of Pavia ang taon bago Beltrami nagsimula ang kanyang pag-aaral.