Émile Borel
Émile Borel | |
---|---|
Minister of the Navy | |
In office 17 April 1925 – 28 November 1925 | |
Prime Minister | Paul Painlevé |
Preceded by | Jacques-Louis Dumesnil |
Succeeded by | Georges Leygues |
Member of the Chamber of Deputies | |
In office 15 June 1924 – 4 June 1936 | |
Personal details | |
Born | Félix Édouard Justin Émile Borel 7 January 1871 Saint-Affrique, France |
Died | 3 February 1956 Paris, France | (aged 85)
Nationality | French |
Alma mater | |
Scientific career | |
Fields | Mathematics |
Institutions | University of Paris |
Thesis | Sur quelques points de la théorie des fonctions (1893) |
Doctoral advisor | Gaston Darboux |
Doctoral students | |
Félix Édouard Justin Émile Borel (French:
Biography
Borel was born in
In 1901, Borel married 17-year-old Marguerite, the daughter of colleague
Work
Along with René-Louis Baire and Henri Lebesgue, Émile Borel was among the pioneers of measure theory and its application to probability theory. The concept of a Borel set is named in his honor. One of his books on probability introduced the amusing thought experiment that entered popular culture under the name infinite monkey theorem or the like. He also published a series of papers (1921–1927) that first defined games of strategy.[5] John von Neumann objected to this assignment of priority in a letter to Econometrica published in 1953 where he asserted that Borel could not have defined games of strategy because he rejected the minimax theorem.[6]
With the development of
In 1913 and 1914 he bridged the gap between
In 1922, he founded the Paris Institute of Statistics, the oldest French school for statistics; then in 1928 he co-founded the Institut Henri Poincaré in Paris.
Political career
In the 1920s, 1930s, and 1940s, he was active in politics. From 1924 to 1936, he was a member of the
Honors
Besides the Centre Émile Borel at the Institut Henri Poincaré in Paris and a crater on the Moon, the following mathematical notions are named after him:
- Borel algebra
- Borel's lemma
- Borel's law of large numbers
- Borel measure
- Borel–Kolmogorov paradox
- Borel–Cantelli lemma
- Borel–Carathéodory theorem
- Heine–Borel theorem
- Borel determinacy theorem
- Borel right process
- Borel set
- Borel summation
- Borel distribution
- Borel's conjecture about strong measure zero sets (not to be confused with Borel conjecture, named for Armand Borel).
Borel also described a poker model that he coins La Relance in his 1938 book Applications de la théorie des probabilités aux Jeux de Hasard.[10]
Borel was awarded the Resistance Medal in 1950.[4]
Works
- On a few points about the theory of functions (PhD thesis, 1894)
- Introduction to the study of number theory and superior algebra (1895)
- A course on the theory of functions (1898)
- A course on power series (1900)
- A course on divergent series (1901)
- A course on positive terms series (1902)
- A course on meromorphic functions(1903)
- A course on growth theory at the Paris faculty of sciences (1910)
- A course on functions of a real variable and polynomial serial developments (1905)
- Chance (1914)
- Geometrical introduction to some physical theories (1914)
- A course on complex variableuniform monogenic functions (1917)
- On the method in sciences (1919)
- Space and time (1921)
- Game theory and left symmetric core integral equations (1921)
- Methods and problems of the theory of functions (1922)
- Space and time (1922)
- A treatise on probability calculation and its applications (1924–1934)
- Application of games of chance(1938)
- Principles and classical formulas for probability calculation (1925)
- Practical and philosophical values of probabilities (1939)
- Mathematical theory of contract bridge for everyone (1940)
- Game, luck and contemporary scientific theories (1941)
- Probabilities and life (1943)
- Evolution of mechanics (1943)
- Paradoxes of the infinite (1946)
- Elements of set theory (1949)
- Probability and certainty (1950)
- Inaccessible numbers (1952)
- Imaginary and real in mathematics and physics (1952)
- Emile Borelcomplete works (1972)
Articles
- (in French) "La science est-elle responsable de la crise mondiale?", Scientia : rivista internazionale di sintesi scientifica, 51, 1932, pp. 99–106.
- (in French) "La science dans une société socialiste", Scientia : rivista internazionale di sintesi scientifica, 31, 1922, pp. 223–228.
- (in French) "Le continu mathématique et le continu physique", Rivista di scienza, 6, 1909, pp. 21–35.
See also
References
- ISBN 978-0-684-10114-9.
- Université Lille Nord de France
- ISBN 978-1-4381-0921-3.
- ^ ISBN 978-981-4282-29-1.
- ^ "Émile Borel," Encyclopædia Britannica
- JSTOR 1906950.
- MR 1956249
- ^ Émile Borel (1914) Introduction Geometrique à quelques Théories Physiques, Gauthier-Villars, link from Cornell University Historical Math Monographs
- ^ "Émile Borel | French mathematician | Britannica". www.britannica.com. Retrieved 2023-03-12.
- ^ Émile Borel and Jean Ville. Applications de la théorie des probabilités aux jeux de hasard. Gauthier-Vilars, 1938
- Michel Pinault, Emile Borel, une carrière intellectuelle sous la 3ème République, Paris, L'Harmattan, 2017. Voir : michel-pinault.over-blog.com
External links
- Quotations related to Émile Borel at Wikiquote
- French Wikisource has original text related to this article: Auteur:Émile Borel
- Media related to Émile Borel (mathematician) at Wikimedia Commons
- Works by or about Émile Borel at Internet Archive
- O'Connor, John J.; Robertson, Edmund F., "Émile Borel", MacTutor History of Mathematics Archive, University of St Andrews
- Author profile in the database zbMATH