Edmond Laguerre
Edmond Nicolas Laguerre (born April 9, 1834 in Bar-le-Duc , † August 14, 1886 ibid) was a French mathematician .
Laguerre attended the École polytechnique from 1852, despite health problems . While still a student, he published his first mathematical work there in 1853. After graduating in 1854 he became an artillery officer and worked in an arms factory near Strasbourg before returning to the École Polytechnique as a teacher in 1864. In 1874 he was there examiner and in 1883 professor of mathematical physics at the Collège de France . In 1886 he suffered a collapse in health that forced him to give up his chair. In 1885 he became a member of the Académie des Sciences .
He was one of the founders of modern geometry , where Laguerre geometry , Laguerre transformation (or transformation through reciprocal directions ) and Laguerre inversion are named after him. He also made significant contributions to the theory of algebraic equations and the theory of continued fractions . He also examined approximation theory and found the orthogonal Laguerre polynomials (1879), which are the solutions to the Laguerre differential equation. A class of whole functions examined by him and George Pólya is now called the Laguerre-Pólya class.
In 1867 he gave, independently of Gaston Darboux, a geometric proof of the addition theorem of elliptic curves (using Poncelet's closure theorem ).
He was married and had two daughters.
The asteroid (26357) Laguerre was named after him.
Fonts
- Laguerre, Edmond: Sur la transformation par directions réciproques . In: Comptes rendus . 92, 1881, pp. 71-73.
- Laguerre, Edmond: Transformations par semi-droites réciproques . In: Nouvelles annales de mathématiques . 1, 1882, pp. 542-556.
- Oeuvres , two volumes, Gauthier-Villars, Paris, 1898, 1905 (editors Charles Hermite , Henri Poincaré , Eugène Rouché ), new edition 1972
- Research on the geometry of direction; methods de transformation; anticaustiques , Gauthier-Villars, Paris, 1885
Web links
- John J. O'Connor, Edmund F. Robertson : Edmond Laguerre. In: MacTutor History of Mathematics archive .
- H. Poincaré, Notice sur la vie et les travaux de M. Laguerre , Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Volume 104, pp. 1643-1650, 1887.
| personal data | |
|---|---|
| SURNAME | Laguerre, Edmond |
| ALTERNATIVE NAMES | Laguerre, Edmond Nicolas (full name) |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | April 9, 1834 |
| PLACE OF BIRTH | Bar-le-Duc |
| DATE OF DEATH | August 14, 1886 |
| Place of death | Bar-le-Duc |