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Jacques Charles François Sturm
Charles Sturm.jpeg
Jacques Charles François Sturm portrayed by Jean-Daniel Colladon
Born (1803-09-29)29 September 1803
Died 15 December 1855(1855-12-15) (aged 52)
Nationality French
Known for Sturm separation theorem
Sturm series
Sturm's theorem
Sturm–Liouville theory
Sturm–Picone comparison theorem
Speed of sound
Sturm's conoid
Awards Légion d'Honneur (1837)
Copley Medal (1840)
Scientific career
Fields Mathematics
Institutions École Polytechnique

Jacques Charles François Sturm (born September 29, 1803 – died December 15, 1855) was a French mathematician. He made important discoveries in mathematics, especially with his famous work, the Sturm's theorem.

Early Life and Education

Jacques Charles François Sturm was born in Geneva, Switzerland, in 1803. His father's family had moved to Geneva from Strasbourg around 1760. His mother's name was Jeanne-Louise-Henriette Gremay.

In 1818, Sturm began attending lectures at the Academy of Geneva. Sadly, his father passed away the next year. This meant Sturm had to start giving lessons to children from wealthy families to help support his own family. In 1823, he became a tutor for the son of Madame de Staël, a famous writer.

Later in 1823, Sturm visited Paris with his student's family. He decided to stay there with his friend, Jean-Daniel Colladon. They found work at a publication called the Bulletin universel.

Important Discoveries

In 1829, Sturm made a big discovery: the Sturm's theorem. This theorem helps mathematicians figure out how many real roots a polynomial equation has. It also helps them find where these roots are located.

Measuring the Speed of Sound

In 1826, Sturm worked with his friend Jean-Daniel Colladon. Together, they conducted the first experiment to measure the speed of sound in water. This was a very important scientific achievement!

Career and Recognition

The 1830 revolution in France helped Sturm's career. Because he was Protestant, it had been harder for him to get public jobs before. After the revolution, this was no longer a problem. In late 1830, he became a professor of special mathematics at the collège Rollin.

In 1836, Sturm was chosen to be a member of the Académie des Sciences, a very respected scientific group. He took the place of another famous scientist, André-Marie Ampère. By 1838, he became a répétiteur (a type of teaching assistant), and in 1840, he became a full professor at the École Polytechnique.

That same year, after the death of Siméon Denis Poisson, Sturm was appointed as a mechanics professor. He taught at the Faculté des sciences de Paris [fr]. His important books, Cours d'analyse de l'école polytechnique (1857–1863) and Cours de mécanique de l'école polytechnique (1861), were published after he died. These books were used for many years.

Sturm also shared credit for the Sturm–Liouville theory with another mathematician, Joseph Liouville.

Later Life and Legacy

In 1851, Sturm's health began to get worse. He tried to keep teaching during his long illness, but he passed away in 1855.

Sturm's work left a lasting mark on mathematics. An asteroid called 31043 Sturm is named after him. His name is also one of the 72 names carved into the Eiffel Tower in Paris, honoring his contributions.

Awards and Honors

Sturm received many important awards and honors during his life:

Selected Writings

Sturm, Charles – Cours de mécanique de l'École polytechnique, 1871 – BEIC 12223960
Cours de mécanique de l'École polytechnique, 1871
  • Cours d'analyse de l'Ecole polytechnique. Tome premier (Gauthier-Villars, 1877)
  • Cours d'analyse de l'Ecole polytechnique. Tome second (Gauthier-Villars, 1877)
  • Cours de mécanique de l'Ecole polytechnique (Gauthier-Villars, 1883)

See Also

  • Control theory
  • Oscillation theory
  • Spectral theory of ordinary differential equations
  • Submarine signals
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