

A 19th-century mathematician who gave algebra a powerful tool for locating the real roots of equations, now bearing his name.
Jacques Charles François Sturm was a Genevan-born thinker who found his intellectual home in Paris. Though he began his career as a tutor, his mathematical genius quickly propelled him into the heart of French scientific academia, earning him a seat in the prestigious Académie des Sciences. Sturm's world was one of equations and functions, and his lasting contribution came from a deceptively simple question: how many real solutions does a polynomial equation have within a given interval? His answer, now known as Sturm's theorem, provided a systematic, algorithmic method to count them, a breakthrough that became a cornerstone of 19th-century algebra. His work, which also extended into physics and differential equations, was marked by clarity and practical utility, cementing his reputation as a problem-solver for the age.
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He was born in Geneva, Switzerland, but spent almost his entire professional life in France.
The crater Sturm on the Moon is named after him.
He shared the 1834 mathematics prize of the French Academy of Sciences with the German mathematician Carl Jacobi.
“The number of real roots of an algebraic equation which lie between given limits can be determined without knowing the roots.”