Italian mathematician; born in Triest Nov. 20, 1843; died in Pisa. Reared in a city with a large Italian-speaking population, a natural inclination drew young Ascoli to Milan, where, from 1874 until 1879, he taught mathematics at the Reale Istituto Tecnico Superiore. In the latter year he was appointed associate professor at the polytechnic school of Milan, and was elected corresponding member of the Reale Istituto Lombardo di Scienze e Lettere.
Ascoli's contributions to mathematics, which belong principally to the domain of the theory of functions, and deal particularly with Fourier's series, have been published in Brioschi's "Annali di Matematica," the reports of the Reale Istituto Lombardo, Battaglini's "Giornale di Matematica," the "Mathematische Annalen," the transactions of the Reale Accademia dei Lincei, etc. Brief notices of Ascoli's mathematical papers may be found in the pages of the "Jahrbuch über die Fortschritte der Mathematik" (Berlin).
- Poggendorff, Biographisch-Litterarisches Handwörterbuch.