Jacques Charles François Sturm  

Jacques Charles François Sturm


Born  Geneva 
29 September 1803
Died  15 December 1855 Paris 
(aged 52)
Nationality  French 
Known for  Sturm–Liouville theory Sturm's theorem Speed of sound 
Awards  Légion d'Honneur (1837) Copley Medal (1840) 
Scientific career  
Fields  Mathematics 
Institutions  École Polytechnique 
Jacques Charles François Sturm ForMemRS (29 September 1803 – 15 December 1855) was a French mathematician.
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SturmLiouville Theorem for 2nd Order ODEs: Eigenvalues & Eigenfunctions

SturmLiouville Theory

SturmLiouville Theorem and Proof
Transcription
Contents
Life and work
Sturm was born in Geneva (then part of France) in 1803. The family of his father, JewnHenri Sturm, had emigrated from Strasbourg around 1760  about 50 years before CharlesFrançois's birth. His mother's name was JeanneLouiseHenriette Gremay^{[1]}. In 1818, he started to follow the lectures of the academy of Geneva. In 1819, the death of his father forced Sturm to give lessons to children of the rich in order to support his own family. In 1823, he became tutor to the son of Madame de Staël.
At the end of 1823, Sturm stayed in Paris for a short time following the family of his student. He resolved, with his schoolfellow Colladon, to try his fortune in Paris, and obtained employment on the Bulletin universel. In 1829, he discovered the theorem which bears his name and which concerns the determination of the number and the localization of the real roots of a polynomial equation included between given limits.
Sturm benefited from the 1830 revolution, as his Protestant faith ceased to be an obstacle to employment in public high schools. At the end of 1830, he was thus appointed as a professor of Mathématiques Spéciales at the collège Rollin.
He was chosen a member of the Académie des Sciences in 1836, filling the seat of AndréMarie Ampère. Sturm became répétiteur in 1838, and in 1840 professor in the École Polytechnique. The same year, after the death of SD Poisson, Sturm was appointed as mechanics professor of the Faculté des sciences de Paris . His works, Cours d'analyse de l'école polytechnique (1857–1863) and Cours de mécanique de l'école polytechnique (1861), were published after his death in Paris, and were regularly republished.
He was the coeponym of the Sturm–Liouville theory with Joseph Liouville. Sturm's theorem is a basic result for counting and finding the real zeroes of polynomials.
In 1826, with his colleague JeanDaniel Colladon, Sturm helped make the first experimental determination of the speed of sound in water.^{[2]}
In 1851 his health began to fail. He was able to return to teaching for a while during his long illness, but in 1855 he died.^{[2]}
The asteroid 31043 Sturm is named for him.^{[3]} Sturm's name is one of the 72 names engraved at the Eiffel Tower.
Distinctions
 Grand prix de Mathématiques (4 December 1834)
 Member of the academy of Berlin (1835)
 Member of the academy of SaintPetersburg (1836)
 Officier de la Légion d'Honneur (1837)
 Copley Medal of the Royal Society of London (1840)
 Member of the Royal Society of London (1840)
Selected writing
 Cours d'analyse de l'Ecole polytechnique. Tome premier (GauthierVillars, 1877)
 Cours d'analyse de l'Ecole polytechnique. Tome second (GauthierVillars, 1877)
 Cours de mécanique de l'Ecole polytechnique (GauthierVillars, 1883)
See also
Notes
 ^ "Sturm biography". wwwgroups.dcs.stand.ac.uk. Retrieved 20170413.
 ^ ^{a} ^{b} J. J. O'Connor and E. F. Robertson (2001). "Biography: Jacques Charles François Sturm". University of St. Andrews School of Mathematical and Computational Sciences. Retrieved 9 September 2011.
 ^ Schmadel, Lutz D.; International Astronomical Union (2003). Dictionary of minor planet names. Berlin; New York: SpringerVerlag. p. 889. ISBN 9783540002383. Retrieved 9 September 2011.
References
External links
Wikimedia Commons has media related to Jacques Charles François Sturm. 
 O'Connor, John J.; Robertson, Edmund F., "Jacques Charles François Sturm", MacTutor History of Mathematics archive, University of St Andrews.
 "Notice sur la vie et les travaux de M. Sturm", Nouvelles annales de mathématiques journal des candidats aux écoles polytechnique et normale, 15: 72, 1856
 "Sturm, Jacques Charles François". New International Encyclopedia. 1905.
 "Sturm, Jacques Charles François". Encyclopædia Britannica (11th ed.). 1911.
 "Sturm, JacquesCharlesFrancois". Encyclopedia Americana. 1920.