Giulio Ascoli (January 20, 1843 – July 12, 1896) was an Italian Jewish mathematician. He was a student of the Scuola Normale di Pisa, where he graduated in 1868.

In 1872 he became Professor of Algebra and Calculus of the Politecnico di Milano University. From 1879 he was professor of mathematics at the Reale Istituto Tecnico Superiore, where, in 1901, was affixed a plaque that remembers him.

He was also corresponding member of Istituto Lombardo.

He made contributions to the theory of functions of a real variable and to Fourier series. For example, Ascoli introduced equicontinuity in 1884, a topic regarded as one of the fundamental concepts in the theory of real functions.^[1] In 1889, Italian mathematician Cesare Arzelà generalized Ascoli's Theorem into the Arzelà–Ascoli theorem, a practical sequential compactness criterion of functions.^[1]

[edit] References

[edit] External links

• Biography in Italian.
• Ascoli, Julio in the Jewish Encyclopedia.
• By Their Fruits Ye Shall Know Them: Some Remarks on the Interaction of General Topology with Other Areas of Mathematics by T. Koetsier, J. Van Mill, an article containing a history of Ascoli's work on the Arzelà-Ascoli theorem.
• "Italian mathematics between the two world wars", Angelo Guerraggio, Pietro Nastasi, Springer, 2005

ISBN 3764365552, 9783764365554

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