
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 published Sturm's theorem in 1829, answering a precise question: how many real roots does a polynomial have within a given interval? Born in Geneva, he moved to Paris and worked as a tutor before his mathematical abilities earned him a seat in the Académie des Sciences. His theorem provided a systematic, algorithmic method for counting real solutions, a breakthrough that became a cornerstone of 19th-century algebra. Sturm's work extended into physics and differential equations. He produced results marked by clarity and practical utility, solving problems that had long resisted solution.
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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.”