Dimitrie Pompeiu

Dimitrie Pompeiu
Born	4 October 1873(1873-10-04) Broscǎuţi, Romanian Principalities
Died	8 October 1954(1954-10-08) (aged 81) Bucharest, Romanian People's Republic
Residence	Romania
Nationality	Romanian
Fields	Mathematician
Institutions	University of Iaşi University of Bucharest
Alma mater	University of Bucharest
Doctoral advisor	Henri Poincaré
Doctoral students	Grigore Moisil
Known for	Pompeiu problem Pompeiu-Hausdorff metric Cauchy-Pompeiu formula Pompeiu's theorem

Dimitrie Pompeiu (Romanian pronunciation: [diˈmitri.e pomˈpeju]; 4 October [O.S. 22 September] 1873, Broscǎuţi, Botoşani County, Romania – 8 October 1954, Bucharest) was a well-known Romanian mathematician.

Biography

After studying in Dorohoi and Bucharest, he went to France, where he studied mathematics at the University of Paris (the Sorbonne). He obtained a Ph.D. degree in mathematics in 1905 with a thesis, On the continuity of complex variable functions, written under the direction of Henri Poincaré. After returning to Romania, he was named Professor of Mechanics at the University of Iaşi. In 1912, he assumed a chair at the University of Bucharest. In 1934, he was elected member of the Romanian Academy.

His contributions were mainly in the field of mathematical analysis, complex functions theory, and rational mechanics. In an article published in 1929, he posed a challenging conjecture in integral geometry, now widely known as the Pompeiu problem. Among his contributions to real analysis there is the construction, dated 1906, of non-constant, everywhere differentiable functions, with derivative vanishing on a dense set. Such derivatives are now called Pompeiu derivatives.

See also

• Pompeiu–Hausdorff metric
• Pompeiu's theorem

References

• [1] [2] D. Pompeiu, Sur la continuité des fonctions de variables complexes, Annales de la faculté des sciences de Toulouse Sér. 2, 7 no. 3 (1905), p. 265–315

Sources

• National Institute for R&D in Informatics ,Short biography of Dimitrie Pompeiu
• [3], One hundred years since the introduction of the set distance by Dimitrie Pompeiu, by T. Bârsan and D. Tiba, Institute of Mathematics of the Romanian Academy
• [4], Short biography of Dimitrie Pompeiu, by Petre Mocanu, Babeş-Bolyai University

External links

• Dimitrie Pompeiu at the Mathematics Genealogy Project.
• http://www.gap-system.org/~history/Biographies/Pompeiu.html

Persondata
Name	Pompeiu, Dimitrie
Alternative names
Short description	Mathematician
Date of birth	October 4, 1873
Place of birth	Broscǎuţi, Romania
Date of death	October 8, 1954
Place of death	Bucharest, Romania