Edmond Nicolas Laguerre (9 April 1834, Bar-le-Duc – 14 August 1886, Bar-le-Duc) was a French mathematician[1] and a member of the Académie des sciences (1885). His main works were in the areas of geometry and complex analysis. He also investigated orthogonal polynomials (see Laguerre polynomials). Laguerre's method is a root-finding algorithm tailored to polynomials. He laid the foundations of a geometry of oriented spheres (Laguerre geometry and Laguerre plane), including the Laguerre transformation or transformation by reciprocal directions.
Edmond Nicolas Laguerre | |
|---|---|
 | |
| Born | 9 April 1834 |
| Died | 14 August 1886 (aged 52) Bar-le-Duc, France |
| Known for | Laguerre polynomials, Laguerre's method, Laguerre plane |
| Scientific career | |
| Fields | Mathematics |
Works
editSelection
edit- Notes sur la résolution des équations numériques. Paris: Gauthier-Villars. 1880.
- Laguerre, Edmond (1881). . Comptes rendus. 92: 71–73.
- Laguerre, Edmond (1882). . Nouvelles annales de mathématiques. 1: 542–556.
- Théorie des équations numériques, Paris: Gauthier-Villars. 1884 on Google Books
- Recherches sur la géométrie de direction; méthodes de transformation; anticaustiques. Gauthier-Villars. 1885.
- (in French) Oeuvres de Laguerre publ. sous les auspices de l'Académie des sciences par MM. Charles Hermite, Henri Poincaré, et Eugène Rouché. (Paris, 1898-1905) (reprint: New York : Chelsea publ., 1972 ISBN 0-8284-0263-9)
Extensive lists
edit- More than 80 articles on Nundam.org.p
See also
edit- Isotropic line
- q-Laguerre polynomials
- Big q-Laguerre polynomials
- Discrete Laguerre polynomials
- Gauss–Laguerre quadrature
- Laguerre-Gaussian modes
- Laguerre form
- Laguerre formula
- Laguerre group
- Laguerre's method
- Laguerre–Pólya class
- Laguerre plane
- Laguerre polynomials
- Laguerre transform
- Laguerre transformations
- Laguerre's theorem
- Laguerre–Forsyth invariant
- Laguerre–Samuelson inequality
- Laguerre–Voronoi diagram
References
edit- (in French) "Nécrologie". In: Nouvelles annales de mathématiques, 3rd series, vol. 8 (1889), p. 494–496—Obituary
- ^ Colby, Frank Moore; Williams, Talcott (1918). "LAGUERRE, Edmond Nicolas". The New International Encyclopaedia. Vol. 13 (2nd ed.). pp. 468–469.
External links
edit- O'Connor, John J.; Robertson, Edmund F., "Edmond Laguerre", MacTutor History of Mathematics Archive, University of St Andrews