Michel Rolle
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Michel Rolle
Michel Rolle (21 April 1652 – 8 November 1719) was a French mathematician. He is best known for Rolle's theorem (1691). He is also the co-inventor in Europe of Gaussian elimination (1690). Life Rolle was born in Ambert, Basse-Auvergne. Rolle, the son of a shopkeeper, received only an elementary education. He married early and as a young man struggled to support his family on the meager wages of a transcriber for notaries and attorney. In spite of his financial problems and minimal education, Rolle studied algebra and Diophantine analysis (a branch of number theory) on his own. He moved from Ambert to Paris in 1675. Rolle's fortune changed dramatically in 1682 when he published an elegant solution of a difficult, unsolved problem in Diophantine analysis. The public recognition of his achievement led to a patronage under minister Louvois, a job as an elementary mathematics teacher, and eventually to a short-termed administrative post in the Ministry of War. In 1685 he joined ...
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Ambert
Ambert (; Auvergnat: ''Embèrt'') is a commune in the Puy-de-Dôme department in Auvergne in central France. Administration Ambert is the seat of the canton of Ambert and the arrondissement of Ambert. It is a sub-prefecture of the department. The ''arrondissement'' consists of eight cantons (before March 2015). Geography Ambert lies on the river Dore, a tributary of the Allier. Population Sights Ambert is famous for its fourme d'Ambert cheese - "Fourme d'Ambert", its paper mills - "Le moulin Richard de Bas" - (the first edition of Diderot's ''Encyclopédie'' was printed on paper made in Ambert) and its circular town market hall - "La Mairie" - (popularized by Jules Romain in his novel ''Les copains''). The Agrivap Chemin de Fer Touristique operates out of Ambert. There is a steam engine that makes a local run, but to see the line in full a ride on the Panoramique Autorail is not to be missed. There is an industrial museum with an interesting collection of tractors a ...
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Giusto Bellavitis
Giusto Bellavitis (22 November 1803 – 6 November 1880) was an Italian mathematician, senator, and municipal councilor. Charles Laisant (1880) "Giusto Bellavitis. Nécrologie", ''Bulletin des sciences mathématiques et astronomiques'', 2nd série, 4(1): 343–8 According to Charles Laisant, :His principle achievement, which marks his place, in the future and the present, among the names of geometers that will endure, is the invention of the method of equipollences, a new method of analytic geometry that is both philosophical and fruitful. Born in Bassano del Grappa in 1803 to Ernesto Bellavitis and Giovanna Navarini, Giusto studied largely alone. In 1840 he entered Institut Venitian and in 1842 began instructing at Lycee de Vicence. In 1845 he became professor of descriptive geometry at University of Padua. With the unification of Italy he took the opportunity to revise the curriculum to include complementary algebra and analytic geometry. Bellavitis married in 1842 and had ...
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Members Of The French Academy Of Sciences
Member may refer to: * Military jury, referred to as "Members" in military jargon * Element (mathematics), an object that belongs to a mathematical set * In object-oriented programming, a member of a class ** Field (computer science), entries in a database ** Member variable, a variable that is associated with a specific object * Limb (anatomy), an appendage of the human or animal body ** Euphemism for penis * Structural component of a truss, connected by nodes * User (computing), a person making use of a computing service, especially on the Internet * Member (geology), a component of a geological formation * Member of parliament * The Members, a British punk rock band * Meronymy, a semantic relationship in linguistics * Church membership, belonging to a local Christian congregation, a Christian denomination and the universal Church * Member, a participant in a club or learned society A learned society (; also learned academy, scholarly society, or academic association) is an ...
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History Of Calculus
Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Many elements of calculus appeared in ancient Greece, then in China and the Middle East, and still later again in medieval Europe and in India. Infinitesimal calculus was developed in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz independently of each other. An argument over priority led to the Leibniz–Newton calculus controversy which continued until the death of Leibniz in 1716. The development of calculus and its uses within the sciences have continued to the present day. Etymology In mathematics education, ''calculus'' denotes courses of elementary mathematical analysis, which are mainly devoted to the study of functions and limits. The word ''calculus'' is Latin for "small pebble" (the diminutive of ''calx,'' meaning "stone"), a meaning which still persists in medicine. Because such pebbles were ...
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1719 Deaths
Events January–March * January 8 – Carolean Death March begins: A catastrophic retreat by a largely-Finnish Swedish- Carolean army under the command of Carl Gustaf Armfeldt across the Tydal mountains in a blizzard kills around 3,700 men and cripples a further 600 for life. * January 23 – The Principality of Liechtenstein is created, within the Holy Roman Empire. * February 3 (January 23 Old Style) – The Riksdag of the Estates recognizes Ulrika Eleonora's claim to the Swedish throne, after she has agreed to sign a new Swedish constitution. Thus, she is recognized as queen regnant of Sweden. * February 20 – The first Treaty of Stockholm is signed. * February 28 – Farrukhsiyar, the Mughal Emperor of India since 1713, is deposed by the Sayyid brothers, who install Rafi ud-Darajat in his place. In prison, Farrukhsiyar is strangled by assassins on April 19. * March 6 – A serious earthquake (estimated magnitude >7) in El Salvador results in large fractures, lique ...
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1652 Births
Year 165 ( CLXV) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Orfitus and Pudens (or, less frequently, year 918 '' Ab urbe condita''). The denomination 165 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * A Roman military expedition under Avidius Cassius is successful against Parthia, capturing Artaxata, Seleucia on the Tigris, and Ctesiphon. The Parthians sue for peace. * Antonine Plague: A pandemic breaks out in Rome, after the Roman army returns from Parthia. The plague significantly depopulates the Roman Empire and China. * Legio II ''Italica'' is levied by Emperor Marcus Aurelius. * Dura-Europos is taken by the Romans. * The Romans establish a garrison at Doura Europos on the Euphrates, a control point for the commerc ...
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Pierre Varignon
Pierre Varignon (1654 – 23 December 1722) was a French mathematician. He was educated at the Jesuit College and the University of Caen, where he received his M.A. in 1682. He took Holy Orders the following year. Varignon gained his first exposure to mathematics by reading Euclid and then Descartes' ''La Géométrie''. He became professor of mathematics at the Collège Mazarin in Paris in 1688 and was elected to the Académie Royale des Sciences in the same year. In 1704 he held the departmental chair at Collège Mazarin and also became professor of mathematics at the Collège Royal. He was elected to the Berlin Academy in 1713 and to the Royal Society in 1718. Many of his works were published in Paris in 1725, three years after his death. His lectures at Mazarin were published in Elements de mathematique' in 1731. Varignon was a friend of Newton, Leibniz, and the Bernoulli family. Varignon's principal contributions were to graphic statics and mechanics. Except for l'H ...
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George Berkeley
George Berkeley (; 12 March 168514 January 1753) – known as Bishop Berkeley (Bishop of Cloyne of the Anglican Church of Ireland) – was an Anglo-Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism" (later referred to as " subjective idealism" by others). This theory denies the existence of material substance and instead contends that familiar objects like tables and chairs are ideas perceived by the mind and, as a result, cannot exist without being perceived. Berkeley is also known for his critique of abstraction, an important premise in his argument for immaterialism. In 1709, Berkeley published his first major work, '' An Essay Towards a New Theory of Vision'', in which he discussed the limitations of human vision and advanced the theory that the proper objects of sight are not material objects, but light and colour. This foreshadowed his chief philosophical work, ''A Treatise Concerning the Principles of Human Knowledg ...
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Taylor Series
In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point. Taylor series are named after Brook Taylor, who introduced them in 1715. A Taylor series is also called a Maclaurin series, when 0 is the point where the derivatives are considered, after Colin Maclaurin, who made extensive use of this special case of Taylor series in the mid-18th century. The partial sum formed by the first terms of a Taylor series is a polynomial of degree that is called the th Taylor polynomial of the function. Taylor polynomials are approximations of a function, which become generally better as increases. Taylor's theorem gives quantitative estimates on the error introduced by the use of such approximations. If the Taylor series of a function is convergent, its sum is the limit of the ...
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Mean Value Theorem
In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the most important results in real analysis. This theorem is used to prove statements about a function on an interval starting from local hypotheses about derivatives at points of the interval. More precisely, the theorem states that if f is a continuous function on the closed interval , b/math> and differentiable on the open interval (a,b), then there exists a point c in (a,b) such that the tangent at c is parallel to the secant line through the endpoints \big(a, f(a)\big) and \big(b, f(b)\big), that is, : f'(c)=\frac. History A special case of this theorem for inverse interpolation of the sine was first described by Parameshvara (1380–1460), from the Kerala School of Astronomy and Mathematics in India, in his commentari ...
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Michel Rolle - Traité D'algèbre
Michel may refer to: * Michel (name), a given name or surname of French origin (and list of people with the name) * Míchel (nickname), a nickname (a list of people with the nickname, mainly Spanish footballers) * Míchel (footballer, born 1963), Spanish former footballer and manager * ''Michel'' (TV series), a Korean animated series * German auxiliary cruiser ''Michel'' * Michel catalog, a German-language stamp catalog * St. Michael's Church, Hamburg or Michel * S:t Michel, a Finnish town in Southern Savonia, Finland People * Alain Michel (other), several people * Ambroise Michel (born 1982), French actor, director and writer. * André Michel (director), French film director and screenwriter * André Michel (lawyer), human rights and anti-corruption lawyer and opposition leader in Haiti * Anette Michel (born 1971), Mexican actress * Anneliese Michel (1952 - 1976), German Catholic woman undergone exorcism * Annett Wagner-Michel (born 1955), German Woman International M ...
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Infinitesimal Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including codifying the idea of limits, put these developments on a more solid conceptual footing. Today, calculus has widespread uses in scien ...
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