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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 joine ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ambert
Ambert (; Auvergnat: ''Embèrt'') is a Communes of France, commune in the Puy-de-Dôme Departments of France, department in Auvergne (region), Auvergne in central France. Administration Ambert is the seat of the canton of Ambert and the arrondissement of Ambert. It is a Subprefectures in France, sub-prefecture of the department. The ''arrondissements of France, arrondissement'' consists of eight cantons of France, cantons (before March 2015). Geography Ambert lies on the river Dore (river), Dore, a tributary of the Allier (river), 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 Denis Diderot, Diderot's ''Encyclopédie'' was printed on paper made in Ambert) and its circular town market hall - "La Mairie" - (popularized by Jules Romains in his novel ''Les copains''). The Agrivap Chemin de Fer Touristique operates out of Ambert. There is a steam engine that makes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinitesimal Calculus
Calculus 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. Originally called infinitesimal calculus or "the calculus of infinitesimals", 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. They make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including codifying ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century French Mathematicians
The 18th century lasted from 1 January 1701 (represented by the Roman numerals MDCCI) to 31 December 1800 (MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the Atlantic Revolutions. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures. The Industrial Revolution began mid-century, leading to radical changes in human society and the environment. The European colonization of the Americas and other parts of the world intensified and associated mass migrations of people grew in size as part of the Age of Sail. During the century, slave trading expanded across the shores of the Atlantic Ocean, while declining in Russia and China. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revoluti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
17th-century French Mathematicians
The 17th century lasted from January 1, 1601 (represented by the Roman numerals MDCI), to December 31, 1700 (MDCC). It falls into the early modern period of Europe and in that continent (whose impact on the world was increasing) was characterized by the Baroque cultural movement, the latter part of the Spanish Golden Age, the Dutch Golden Age, the French '' Grand Siècle'' dominated by Louis XIV, the Scientific Revolution, the world's first public company and megacorporation known as the Dutch East India Company, and according to some historians, the General Crisis. From the mid-17th century, European politics were increasingly dominated by the Kingdom of France of Louis XIV, where royal power was solidified domestically in the civil war of the Fronde. The semi-feudal territorial French nobility was weakened and subjugated to the power of an absolute monarchy through the reinvention of the Palace of Versailles from a hunting lodge to a gilded prison, in which a greatly expande ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Ambert
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determination, as i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Tydalen 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 frac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1652 Births
Events January–March * January 8 – Michiel de Ruyter marries the widow Anna van Gelder and plans retirement, but months later becomes a vice-commodore in the First Anglo-Dutch War. * February 4 – At Edinburgh, the parliamentary commissioners of the Commonwealth of England proclaim the Tender of Union to be in force in Scotland, annexing the Scottish nation with the concession that Scotland would have 30 representatives in the parliament of the English Commonwealth. * February 12 – Oliver Cromwell, England's Lord Protector, announces that his Council of Scotland will regulate church affairs as part of the Terms of Incorporation of Scotland into England, and eliminates Presbyterianism as Scotland's state religion. * March 29 (April 8 New Style) – Total solar eclipse of April 8, 1652 ("Black Monday"). April–June * April 6 – Dutch sailor Jan van Riebeeck establishes a resupply camp for the Dutch East India Company at the Cape of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Varignon
Pierre Varignon (; 1654 – 23 December 1722) was a French mathematician. He was educated at the Society of Jesus, Jesuit College and the University of Caen, where he received his Magister Artium, M.A. in 1682. He took Holy Orders the following year. Varignon gained his first exposure to mathematics by reading Euclid and then René Descartes, Descartes' ''La Géométrie''. He became professor of mathematics at the Collège des Quatre-Nations, 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 de France, Collège Royal. He was elected to the Prussian Academy of Sciences, 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 Isaa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, writer, and clergyman who is regarded as the founder of "immaterialism", a philosophical theory he developed which was later referred to as "subjective idealism" by others. As a leading figure in the empiricism movement, he was one of the most cited philosophers of Age of Enlightenment, 18th-century Europe, and his works had a profound influence on the views of other thinkers, especially Immanuel Kant and David Hume. Interest in his ideas increased significantly in the United States during the early 19th century, and as a result, the University of California, Berkeley, as well as the city of Berkeley, California, were both named after him. In 1709, Berkeley published his first major work ''s:An Essay Towards a New Theory of Vision, An Essay Towards a New Theory of Vision'', in which he discussed the limitations of huma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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 more accurate 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mean Value Theorem
In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc (geometry), arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant line, 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 (mathematics), interval starting from local hypotheses about derivatives at points of the interval. 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 commentaries on Govindasvāmi and Bhāskara II. A restricted form of the theorem was proved by Michel Rolle in 1691; the result was what is now known as Rolle's theorem, and was proved only for polynomials, without the techniques of calculus. The mean value theorem in its modern for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 * ''Deutscher Michel'', a national personification of the German people 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 undergo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
