*World of Mathematics*. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.

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*World of Mathematics* on Michel Rolle

Michel Rolle was a largely self-educated mathematician who taught himself both algebra and Diophantine **analysis**, a method for solving **equations** with no unique solution. He won early repute when he solved a problem set by the mathematician Jacques Ozanam, but his real passion lay in the field of the **algebra** of equations. His most famous work was the *Traite d'algebre* of 1690, in which he not only invented the modern notation for the *n*th root of x, but also expounded on his "cascade" method to separate the **roots** of an algebraic equation. He is best remembered for the **theorem** which bears his name, **Rolle's Theorem**, which determines the position of roots in an equation.

Little is known about Rolle's youth. He was born in Ambert, Bass-Auvergne in France on April 21, 1652. His father was a shopkeeper and the young Rolle had only a basic elementary education before he began...

This section contains 1,053 words(approx. 4 pages at 300 words per page) |