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Topic: Michel Rolle

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	Rolle's theorem - Wikipedia, the free encyclopedia
		In calculus, Rolle's theorem states that if a function f is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), and f(a) = f(b) then there is some number c in the open interval (a,b) such that
		The theorem was first stated by Michel Rolle, and published in 1691.
		Rolle's Theorem is used in proving the mean value theorem, which eliminates the requirement that f(a) = f(b).
	en.wikipedia.org /wiki/Rolle's_theorem (424 words)

	Michel Rolle - Wikipedia, the free encyclopedia
		Michel Rolle (April 21, 1652 - November 8, 1719) was a French mathematician.
		In 1675, he moved from Ambert to Paris and was elected in 1685 to join the Académie Royale des Sciences and became a Pensionnaire Géometre of the Académie (1699).
		Rolle was an early critic of calculus, arguing that it was inaccurate and based upon unsound reasoning.
	en.wikipedia.org /wiki/Michel_Rolle (111 words)

	Rolle's and Mean Value Theorems
		The latter is named after Michel Rolle (1652-1719), a French mathematician who established the now common symbol
		Thus Rolle's theorem claims the exsitentce of a point at which the tangent to the graph is parallel to the secant, provided the latter is horizontal.)
		Rolle's theorem is clearly a particular case of the MVT in which f satisfies an additional condition,
	www.cut-the-knot.org /Curriculum/Calculus/MVT.shtml (684 words)

	Rolle (Site not responding. Last check: 2007-10-06)
		Michel Rolle had little formal education being largely self-educated.
		Rolle is best remembered, however, for 'Rolle's Theorem' which was published in an obscure book in 1691, using a method of Hudde in the proof.
		Rolle described the calculus as a collection of ingenious fallacies.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Rolle.html (211 words)

	The Galileo Project
		Though this position in the minsitry of war was more financially rewarding and could have taken him farther in the government, Rolle felt unable to devote enough time to his post and his position at the Académie.
		When the Académie reorganized Rolle became a pensionnaire géometre (1699), which assured him a regular salary.
		Fontenelle, "Eloge de Rolle", in Histoire de l'Académie royale des sciences, 1719.
	galileo.rice.edu /Catalog/NewFiles/rolle.html (353 words)

	Problem of the Week
		Hastily scrawled at the bottom of the note is the signature "Michel Rolle." You ponder the name for a few moments, then realize that the author must be none other than the Rolle, author of the famous Rolle's theorem.
		"Perhaps," you muse to yourself, "I might be able to do what Rolle could not, and prove the validity of the Mean Value theorem!" The librarian overhears your words and hastily edges away, wondering if she should call security.
		Nevertheless, you remain determined in your resolve: Prove the validity of the Mean Value theorem - and show all work.
	mathforum.org /calcpow/print_puzzler.ehtml?puzzle=97 (224 words)

	Notes: A Tour of the Calculus (Site not responding. Last check: 2007-10-06)
		In this instance, he is explaining how Michel Rolle (1652-1719) contributed to the development of the Mean Value Theorem.
		In the end, the readers find themselves suddenly swept upon a forested island, a protected landing that gives a surprisingly good view of the rolling tide of calculus terms and concepts that before seemed dark and foreboding.
		As a safe (symbols are only used when they are absolutely necessary) but surprisingly thorough introduction, or merely a sweeping review, A Tour of the Calculus somehow succeeds, leaving readers with a grasp not only of the terms but also of the concepts and a bit of history of the calculus.
	www.garretwilson.com /books/tourcalculus.html (231 words)

	Homework III (Site not responding. Last check: 2007-10-06)
		Rolle's Theorem, the Mean Value Theorem, and Cauchy's Mean Value Theorem
		(F) Discuss briefly the history of Rolle's Theorem and the Mean Value Theorem.
		Discuss the contributions of Michel Rolle and Augustin Louis Cauchy.
	homepages.math.luc.edu /~ajs/courses/298maplefall2003/homework/hw3.html (534 words)

	Science: Mathematics: Mathematicians: Rolle, Michel - Open Site
		Science: Mathematics: Mathematicians: Rolle, Michel - Open Site
		Michel Rolle, born at Ambert on April 21, 1652, and died in Paris on November 8, 1719, wrote an algebra in 1689, which contains the theorem on the position of the roots of an equation which is known by his name.
		He published in 1696 a treatise on the solutions of equations, whether determinate or indeterminate, and he produced several other minor works.
	open-site.org /Science/Mathematics/Mathematicians/Rolle,_Michel (109 words)

	Earliest Uses of Symbols of Operation (Site not responding. Last check: 2007-10-06)
		He suggested this notation for the cube root (DSB; Cajori vol.
		1, page 372) the first person to adopt Girard's suggestion and place the index within the opening of the radical sign was Michel Rolle (1652-1719) in 1690 in Traité d' Algébre.
		However, a history note in a high school textbook states that the symbol was first used by Girard "around 1633" (UCSMP Advanced Algebra, 2nd ed., 1996, page 496).
	members.aol.com /jeff570/operation.html (3440 words)

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