Benjamin Olinde Rodrigues (6 October 1795 – 17 December 1851), more commonly known as Olinde Rodrigues, was a French banker,
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, and
social reformer
A reform movement or reformism is a type of social movement that aims to bring a social or also a political system closer to the community's ideal. A reform movement is distinguished from more radical social movements such as revolutionary m ...
. In mathematics Rodrigues is remembered for
Rodrigues' rotation formula for vectors, the
Rodrigues formula about series of
orthogonal polynomials and the
Euler–Rodrigues parameters.
Biography
Rodrigues was born into a well-to-do
Sephardi Jewish family in
Bordeaux
Bordeaux ( , ; Gascon oc, Bordèu ; eu, Bordele; it, Bordò; es, Burdeos) is a port city on the river Garonne in the Gironde department, Southwestern France. It is the capital of the Nouvelle-Aquitaine region, as well as the prefecture ...
. He was awarded a
doctorate
A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' ...
in mathematics on 28 June 1815 by the
University of Paris
The University of Paris (french: link=no, Université de Paris), Metonymy, metonymically known as the Sorbonne (), was the leading university in Paris, France, active from 1150 to 1970, with the exception between 1793 and 1806 under the French Revo ...
. His dissertation contains the result now called
Rodrigues' formula.
After graduation, Rodrigues became a banker. A close associate of the
Comte de Saint-Simon, Rodrigues continued, after Saint-Simon's death in 1825, to champion the older man's
socialist
Socialism is a left-wing economic philosophy and movement encompassing a range of economic systems characterized by the dominance of social ownership of the means of production as opposed to private ownership. As a term, it describes the ...
ideals, a school of thought that came to be known as
Saint-Simonianism. During this period, Rodrigues published writings on politics, social reform, and banking.
In 1840 he published a result on
transformation groups, which applied
Leonhard Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
's
four squares formula, a precursor to the
quaternions
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. Hamilton defined a quatern ...
of
William Rowan Hamilton
Sir William Rowan Hamilton LL.D, DCL, MRIA, FRAS (3/4 August 1805 – 2 September 1865) was an Irish mathematician, astronomer, and physicist. He was the Andrews Professor of Astronomy at Trinity College Dublin, and Royal Astronomer of Ire ...
, to the problem of representing rotations in space.
In 1846
Arthur Cayley acknowledged
[ Arthur Cayley (1846) "Sur Quelques Proprietes des Determinants Gauches", Crelle's Journal 32: 119–23, and ''Collected Mathematical Papers of Arthur Cayley'', volume 1, page 335] Euler's and Rodrigues' priority describing
orthogonal transformations.
Rodrigues is credited as originating the idea of the artist as an
avant-garde
The avant-garde (; In 'advance guard' or ' vanguard', literally 'fore-guard') is a person or work that is experimental, radical, or unorthodox with respect to art, culture, or society.John Picchione, The New Avant-garde in Italy: Theoretical ...
.
Publications
* ''Mouvement de rotation d'un corps de révolution pesant'', Paris, 1815
Read online*''De l'attraction des sphéroïdes'', 1815
* ''Théorie de la caisse hypothécaire, ou Examen du sort des emprunteurs, des porteurs d'obligations et des actionnaires de cet établissement'', 1820
* ''Appel : religion saint-simonienne'', 1831
* ''L'artiste, le savant et l'industriel: Dialogue'', 1825
* ''Réunion générale de la famille : séances des 19 et 21 novembre'', 1831
* ''Son premier écrit / Saint-Simon'', 1832
* ''Le disciple de Saint-Simon aux Saint-Simoniens et au public'', 1832
* ''Aux saint-simoniens, 13 février 1832 : bases de la loi morale proposées à l'acceptation des femmes'', 1832
* ''Olinde Rodrigues à M. Michel Chevalier, rédacteur du "Globe" : religion saint-simonienne'', 1832
* ''De l'organisation des banques à propos du projet de loi sur la Banque de France'', 1840
* ''Des lois géométriques qui régissent les déplacements d'un système solide dans l'espace: et de la variation des coordonnées provenant de ces déplacements considérés indépendamment des causes qui peuvent les produire'', 1840
* ''Les Peuples et les diplomates. La Paix ou la guerre'', 1840
* ''Œuvres de Saint-Simon'', 1841
* ''Poésies sociales des ouvriers, réunies et publiées par Olinde Rodrigues'', 1841
* ''Théorie des banques'', 1848
* ''De l'Organisation du suffrage universel, proposition d'un nouveau mode électoral par Olinde Rodrigues'', 1848
* ''Organisation du travail, association du travail et du capital'', 1848
* ''Organisation du travail, bases de l'organisation des banques'', 1848
See also
*
Euler–Rodrigues formula
*
Spherical harmonics
References
External links
Olinde Rodrigues sur Le MaitronOlinde Rodrigues sur Jewish Encyclopedia
Bibliography
*
*
Louis Gabriel Michaud
Louis-Gabriel Michaud (19 January 1773, Castle Richemont – 8 March 1858) was a French writer, historian, printer, and bookseller. He was notable as the compiler of ''Biographie Universelle'' (1811–).
Life
He became a lieutenant on 15 July ...
(1863) ''Biographie universelle ancienne et moderne''
*
*
*
Jeremy J. Gray (1980) ''Olinde Rodrigues' paper of 1840 on Transformation Groups'',
Archive for History of Exact Sciences 21(4): 375–385, .
{{DEFAULTSORT:Rodrigues, Olinde
1795 births
1851 deaths
Businesspeople from Bordeaux
Lycée Louis-le-Grand alumni
French bankers
19th-century French Sephardi Jews
Scientists from Bordeaux
Historical treatment of quaternions
19th-century French mathematicians
Saint-Simonists
Burials at Père Lachaise Cemetery
British social reformers
Jewish socialists
French people of Portuguese descent