Giulio Ascoli

Giulio Ascoli
Born (1843-01-20)20 January 1843
Trieste, Italy
Died 12 July 1896(1896-07-12) (aged 53)
Milan, Italy
Nationality Italian
Scientific career
Fields Mathematics

Giulio Ascoli (20 January 1843, Trieste – 12 July 1896, Milan) was a Jewish-Italian[1] 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.[2] In 1889, Italian mathematician Cesare Arzelà generalized Ascoli's Theorem into the Arzelà–Ascoli theorem, a practical sequential compactness criterion of functions.[3]

See also

Notes

  1. ↑  This article incorporates text from a publication now in the public domain: Singer, Isidore; et al., eds. (1901–1906). "Ascoli, Giulio". Jewish Encyclopedia. New York: Funk & Wagnalls Company.
  2. ↑ According to Dshalalow (2000, p. 153).
  3. ↑ See Dshalalow (2000, p. 153).

Biographical references

  • Guerraggio, Angelo; Nastasi, Pietro (2005), Italian mathematics between the two world wars, Science Networks. Historical Studies, 29, Basel: Birkhäuser Verlag, pp. x+299, doi:10.1007/3-7643-7512-4, ISBN 3-7643-6555-2, MR 2188015, Zbl 1084.01010 .
  • Tricomi, G. F. (1962). "Giulio Ascoli". Matematici italiani del primo secolo dello stato unitario (Italian mathematicians of the first century of the unitary state). Memorie dell'Accademia delle Scienze di Torino. Classe di Scienze fisiche matematiche e naturali, series IV. I. p. 120. Zbl 0132.24405. (in Italian). Available from the website of the Società Italiana di Storia delle Matematiche.

References

  • Dshalalow, Jewgeni H. (2001), Real analysis: an introduction to the theory of real functions and integration, Studies in Advanced Mathematics, Boca Raton, Florida: CRC Press, pp. xiv+567, ISBN 1-58488-073-2, MR 1788725, Zbl 0978.28001 .
  • Letta, Giorgio (1994) [112°], "Le condizioni di Riemann per l'integrabilità e il loro influsso sulla nascita del concetto di misura" (PDF), Rendiconti della Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e applicazioni (in Italian), XVIII (1): 143–169, MR 1327463, Zbl 0852.28001, archived from the original (PDF) on 2014-02-28 . "Riemann's conditions for integrability and their influence on the birth of the concept of measure" (English translation of title) is an article on the history of measure theory, analyzing deeply and comprehensively every early contribution to the field, starting from Riemann's work and going to the works of Hermann Hankel, Gaston Darboux, Giulio Ascoli, Henry John Stephen Smith, Ulisse Dini, Vito Volterra, Paul David Gustav du Bois-Reymond and Carl Gustav Axel Harnack.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.