Paul Montel: Difference between revisions
Content deleted Content added
Tom.Reding (talk | contribs) m WP:STUBSPACING followup |
|||
| (9 intermediate revisions by 8 users not shown) | |||
| Line 1: | Line 1: | ||
{{short description|French mathematician}} |
|||
{{Infobox scientist |
{{Infobox scientist |
||
| name = Paul Montel |
| name = Paul Montel |
||
| image = |
| image = File:Paul Montel.jpg |
||
| image_size = |
| image_size = |
||
| caption = |
| caption = |
||
| birth_name = Paul Antoine Aristide Montel |
|||
| birth_date = {{birth date|1876|04|29|df=y}} |
| birth_date = {{birth date|1876|04|29|df=y}} |
||
| birth_place = [[Nice]], France |
| birth_place = [[Nice]], France |
||
| Line 13: | Line 15: | ||
| alma_mater = [[University of Paris|Sorbonne]] |
| alma_mater = [[University of Paris|Sorbonne]] |
||
| doctoral_advisor = [[Émile Borel]] |
| doctoral_advisor = [[Émile Borel]] |
||
| doctoral_students = [[Mieczysław Biernacki]]<br>[[Henri Cartan]]<br>[[ |
| doctoral_students = [[Mieczysław Biernacki]]<br>[[Henri Cartan]]<br>[[Jean Dieudonné]]<br>[[Lucien Hibbert]]<br>[[Miron Nicolescu]] |
||
| known_for = [[Montel's theorem]]<br>[[Montel space]]<br>[[Normal family]] |
| known_for = [[Montel's theorem]]<br>[[Montel space]]<br>[[Normal family]] |
||
| awards = |
| awards = |
||
| Line 23: | Line 25: | ||
Montel's most important contribution to mathematics was the introduction and systematic |
Montel's most important contribution to mathematics was the introduction and systematic |
||
development of the |
development of the |
||
notion of [[normal family]].<ref>{{cite book|first=Paul|last=Montel|title= |
notion of [[normal family]].<ref>{{cite book|first=Paul|last=Montel|title=Leçons sur les familles normales de fonctions analytiques et leurs applications|publisher=Gauthier-Villars|place=Paris|year=1927}}</ref> |
||
This very influential book also contains the first exposition in the book form of the results of [[Pierre Fatou]] and [[Gaston Julia]] on |
This very influential book also contains the first exposition in the book form of the results of [[Pierre Fatou]] and [[Gaston Julia]] on |
||
[[holomorphic dynamics]]. The notion of normal family was a predecessor of the notion of [[compact space]] introduced by [[Pavel Alexandrov]] and [[Pavel Urysohn]] in 1929.<ref>{{citation |last1=Alexandrov |first1=Pavel |authorlink1=Pavel Alexandrov |last2=Urysohn |first2=Pavel |authorlink2=Pavel Urysohn |title=Mémoire sur les espaces topologiques compacts |journal=Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the |
[[holomorphic dynamics]]. The notion of normal family was a predecessor of the notion of [[compact space]] introduced by [[Pavel Alexandrov]] and [[Pavel Urysohn]] in 1929.<ref>{{citation |last1=Alexandrov |first1=Pavel |authorlink1=Pavel Alexandrov |last2=Urysohn |first2=Pavel |authorlink2=Pavel Urysohn |title=Mémoire sur les espaces topologiques compacts |journal=Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Mathematical Sciences |volume=14 |year=1929}}.</ref> |
||
==Notes== |
==Notes== |
||
| Line 42: | Line 44: | ||
[[Category:University of Paris alumni]] |
[[Category:University of Paris alumni]] |
||
[[Category:Members of the French Academy of Sciences]] |
[[Category:Members of the French Academy of Sciences]] |
||
[[Category:Grand |
[[Category:Grand Officers of the Legion of Honour]] |
||
Latest revision as of 13:09, 29 October 2024
Paul Montel | |
|---|---|
 | |
| Born | Paul Antoine Aristide Montel 29 April 1876 Nice, France |
| Died | 22 January 1975 (aged 98) Paris, France |
| Nationality | French |
| Alma mater | Sorbonne |
| Known for | Montel's theorem Montel space Normal family |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Paris-Sorbonne University École Normale Supérieure |
| Doctoral advisor | Émile Borel |
| Doctoral students | Mieczysław Biernacki Henri Cartan Jean Dieudonné Lucien Hibbert Miron Nicolescu |
Paul Antoine Aristide Montel (29 April 1876 – 22 January 1975) was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis.
Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students.
Montel's most important contribution to mathematics was the introduction and systematic development of the notion of normal family.[1] This very influential book also contains the first exposition in the book form of the results of Pierre Fatou and Gaston Julia on holomorphic dynamics. The notion of normal family was a predecessor of the notion of compact space introduced by Pavel Alexandrov and Pavel Urysohn in 1929.[2]
Notes
[edit]- ^ Montel, Paul (1927). Leçons sur les familles normales de fonctions analytiques et leurs applications. Paris: Gauthier-Villars.
- ^ Alexandrov, Pavel; Urysohn, Pavel (1929), "Mémoire sur les espaces topologiques compacts", Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Mathematical Sciences, 14.
References
[edit]- O'Connor, John J.; Robertson, Edmund F., "Paul Montel", MacTutor History of Mathematics Archive, University of St Andrews
| International | |
|---|---|
| National | |
| Academics | |
| People | |
| Other | |
 | This article about a French mathematician is a stub. You can help Wikipedia by expanding it. |