Leibniz–Newton Calculus Controversy
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Leibniz–Newton Calculus Controversy
In the history of calculus, the calculus controversy () was an argument between mathematicians Isaac Newton and Gottfried Wilhelm Leibniz over who had first discovered calculus. The question was a major intellectual controversy, beginning in 1699 and reaching its peak in 1712. Leibniz had published his work on calculus first, but Newton's supporters accused Leibniz of plagiarizing Newton's unpublished ideas. The modern consensus is that the two men independently developed their ideas. Their creation of calculus has been called "the greatest advance in mathematics that had taken place since the time of Archimedes." Newton stated he had begun working on a form of calculus (which he called " The Method of Fluxions and Infinite Series") in 1666, at the age of 23, but did not publish it until 1737 as a minor annotation in the back of one of his works decades later (a relevant Newton manuscript of October 1666 is now published among his mathematical papers). Gottfried Leibniz began wo ...
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Statues Of Isaac Newton And Gottfried Leibniz
A statue is a free-standing sculpture in which the realistic, full-length figures of persons or animals are carved or cast in a durable material such as wood, metal or stone. Typical statues are life-sized or close to life-size. A sculpture that represents persons or animals in full figure, but that is small enough to lift and carry is a ''statuette'' or figurine, whilst those that are more than twice life-size are regarded as ''colossal statues''. Statues have been produced in many cultures from prehistory to the present; the oldest-known statue dating to about 30,000 years ago. Statues represent many different people and animals, real and mythical. Many statues are placed in public places as public art. The world's tallest statue, ''Statue of Unity'', is tall and is located near the Narmada dam in Gujarat, India. Colors Ancient statues often show the bare surface of the material of which they are made. For example, many people associate Greek classical art with white marb ...
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Scientific Journal
In academic publishing, a scientific journal is a periodical publication designed to further the progress of science by disseminating new research findings to the scientific community. These journals serve as a platform for researchers, scholars, and scientists to share their latest discoveries, insights, and methodologies across a multitude of scientific disciplines. Unlike professional or trade magazines, the articles are mostly written by scientists rather than staff writers employed by the journal. Scientific journals are characterized by their rigorous peer review process, which aims to ensure the validity, reliability, and quality of the published content. In peer review, submitted articles are reviewed by active scientists (peers) to ensure scientific rigor. With origins dating back to the 17th century, the publication of scientific journals has evolved significantly, advancing scientific knowledge, fostering academic discourse, and facilitating collaboration within ...
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Nicolas-Claude Fabri De Peiresc
Nicolas-Claude Fabri de Peiresc (1 December 1580 – 24 June 1637), often known simply as Peiresc, or by the Latin form of his name, Peirescius, was a French astronomer, antiquary and savant, who maintained a wide correspondence with scientists, and was a successful organizer of scientific inquiry. His research included a determination of the difference in longitude of various locations in Europe, around the Mediterranean, and in North Africa. Early life Peiresc's father was a higher magistrate and city surgeon in Provence from a wealthy noble family, who with his wife fled their home town of Aix-en-Provence to avoid the plague raging there, settling in Belgentier in Var. Peiresc was born in Belgentier and educated in Aix-en-Provence and Avignon, as well as at the Jesuit college at Tournon. At Toulon, he first became interested in astronomy. Studying law and becoming interested in archaeology, he travelled to Italy, Switzerland and France in 1599, and finally finished his ...
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Robert Hooke
Robert Hooke (; 18 July 16353 March 1703) was an English polymath who was active as a physicist ("natural philosopher"), astronomer, geologist, meteorologist, and architect. He is credited as one of the first scientists to investigate living things at microscopic scale in 1665, using a compound microscope that he designed. Hooke was an impoverished scientific inquirer in young adulthood who went on to become one of the most important scientists of his time. After the Great Fire of London in 1666, Hooke (as a surveyor and architect) attained wealth and esteem by performing more than half of the Boundary (real estate), property line surveys and assisting with the city's rapid reconstruction. Often vilified by writers in the centuries after his death, his reputation was restored at the end of the twentieth century and he has been called "England's Leonardo da Vinci, Leonardo [da Vinci]". Hooke was a Fellow of the Royal Society and from 1662, he was its first Curator of Experimen ...
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Mechanical Calculator
A mechanical calculator, or calculating machine, is a mechanical device used to perform the basic operations of arithmetic automatically, or a simulation like an analog computer or a slide rule. Most mechanical calculators were comparable in size to small desktop computers and have been rendered obsolete by the advent of the electronic calculator and the digital computer. Surviving notes from Wilhelm Schickard in 1623 reveal that he designed and had built the earliest known apparatus fulfilling the widely accepted definition of a mechanical calculator (a counting machine with an automated tens-carry). His machine was composed of two sets of technologies: first an abacus made of Napier's bones, to simplify multiplications and divisions first described six years earlier in 1617, and for the mechanical part, it had a dialed pedometer to perform additions and subtractions. A study of the surviving notes shows a machine that could have jammed after a few entries on the same dial. ...
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Gabriel Mouton
Gabriel Mouton (1618 – 28 September 1694) was a French abbot and scientist. He was a doctor of theology from Lyon, but was also interested in mathematics and astronomy. His 1670 book, the ''Observationes diametrorum solis et lunae apparentium'', proposed a natural standard of length based on the circumference of the Earth, divided decimally. It was influential in the adoption of the metric system in 1799. The milliare Based on the measurements of the size of the Earth conducted by Riccioli of Bologna (at 321,815 Bologna feet to the degree), Mouton proposed a decimal system of measurement based on the circumference of the Earth, explaining the advantages of a system based on nature. His suggestion was a unit, the ''milliare'', that was defined as a minute of arc along a meridian arc, and a system of sub-units, dividing successively by factors of ten into the ''centuria'', ''decuria'', ''virga'', ''virgula'', ''decima'', ''centesima'', and ''millesima''. The ''virga'', ...
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Lyon
Lyon (Franco-Provençal: ''Liyon'') is a city in France. It is located at the confluence of the rivers Rhône and Saône, to the northwest of the French Alps, southeast of Paris, north of Marseille, southwest of Geneva, Switzerland, northeast of Saint-Étienne. The City of Lyon is the List of communes in France with over 20,000 inhabitants, third-largest city in France with a population of 522,250 at the Jan. 2021 census within its small municipal territory of , but together with its suburbs and exurbs the Lyon Functional area (France), metropolitan area had a population of 2,308,818 that same year, the second largest in France. Lyon and 58 suburban municipalities have formed since 2015 the Lyon Metropolis, Metropolis of Lyon, a directly elected metropolitan authority now in charge of most urban issues, with a population of 1,424,069 in 2021. Lyon is the Prefectures in France, prefecture of the Auvergne-Rhône-Alpes Regions of France, region and seat of the Departmental co ...
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Lagrange Polynomial
In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data set of coordinate pairs (x_j, y_j) with 0 \leq j \leq k, the x_j are called ''nodes'' and the y_j are called ''values''. The Lagrange polynomial L(x) has degree \leq k and assumes each value at the corresponding node, L(x_j) = y_j. Although named after Joseph-Louis Lagrange, who published it in 1795, the method was first discovered in 1779 by Edward Waring. It is also an easy consequence of a formula published in 1783 by Leonhard Euler. Uses of Lagrange polynomials include the Newton–Cotes method of numerical integration, Shamir's secret sharing scheme in cryptography, and Reed–Solomon error correction in coding theory. For equispaced nodes, Lagrange interpolation is susceptible to Runge's phenomenon of large oscillation. Definition Given a set of k + 1 nodes \, which must all be distinct, x_j \neq x_m for ind ...
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John Pell (mathematician)
John Pell (1 March 1611 – 12 December 1685) was an English mathematician and political agent abroad. He was made Royal Chair of Mathematics at Orange College by the Prince of Orange, and was under the patronage of Sir Charles Cavendish. He was also a compeer and correspondent of René Descartes and Thomas Hobbes. Early life He was born at Southwick in West Sussex, England. His father, also named John Pell, was from Southwick, and his mother was Mary Holland, from Halden in Kent. The second of two sons, Pell's older brother was Thomas Pell. By the time he was six, they were orphans, their father dying in 1616 and their mother the following year. John Pell the elder had a fine library, which proved valuable to the young Pell as he grew up. He was educated at Steyning Grammar School and entered Trinity College, Cambridge, at the age of 13. During his university career he became an accomplished linguist; even before taking a B.A. degree in 1629, he corresponded with Henry B ...
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Leibniz
Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics. Leibniz has been called the "last universal genius" due to his vast expertise across fields, which became a rarity after his lifetime with the coming of the Industrial Revolution and the spread of specialized labor. He is a prominent figure in both the history of philosophy and the history of mathematics. He wrote works on philosophy, theology, ethics, politics, law, history, philology, games, music, and other studies. Leibniz also made major contributions to physics and technology, and anticipated notions that surfaced much later in probability theory, biology, medicine, geology, psychology, linguistics and computer science. Leibniz contributed to the field of libr ...
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Henry Oldenburg
Henry Oldenburg (also Henry Oldenbourg) (c. 1618 as Heinrich Oldenburg – 5 September 1677) was a German theologian, diplomat, and natural philosopher, known as one of the creators of modern scientific peer review. He was one of the foremost intelligencers of 17th-century Europe, with a network of correspondents to rival those of Fabri de Peiresc, Marin Mersenne, and Ismaël Boulliau. At the foundation of the Royal Society in London, he took on the task of foreign correspondence, as the first Secretary. Early life Born in Bremen, Germany, he was trained in theology and received his degree from the local ''Gymnasyum illustre'' on 2 November 1639. He had an initial very firm grasp of the German, Latin, and Greek languages. His movements during the 1640s are unclear, but he is thought to have worked as a tutor in England for much of the decade. In 1648 he left England and spent some time in Leiden and Utrecht in the Dutch Republic, where he became conversant in the Dutc ...
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Royal Society Of London
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by King Charles II and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the society's president, according to a set of statutes and standing orders. The members of Council and the president are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow of the Royal Society) ...
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