Giulio Ascoli

Giulio Ascoli (January 20, 1843 – July 12, 1896), was an Italian Jewish mathematician who taught at the Politecnico di Milano university. 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.cite book |title= Real analysis: an introduction to the theory of real functions and integration|last= Dshalalow|first= Jewgeni H. |year= 2000|publisher= CRC Press|location= |isbn= 1584880732|pages= 153|url=http://books.google.com/books?id=9S09YpoodHIC&pg=PA153&dq=Giulio+Ascoli&as_brr=3&sig=ACfU3U2DcdHL87aQcy3Ey1xT8Vp3ayaSCw] In 1889, Italian mathematician Cesare Arzelà generalized Ascoli's Theorem into Arzelà-Ascoli theorem, a practical sequentual compactness criterion of functions.

References

External links

* [http://matematica.uni-bocconi.it/storia/letteraa/biogr-ascoli.htm Biography] in Italian.
* [http://www.jewishencyclopedia.com/view.jsp?artid=1900&letter=A&search=ascoli Ascoli, Julio] in the Jewish Encyclopedia.
* [http://www.cs.vu.nl/~vanmill/papers/papers1999/teun.pdf 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.