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Roger Cotes
Roger Cotes (10 July 1682 – 5 June 1716) was an English mathematician, known for working closely with Isaac Newton by proofreading the second edition of his famous book, the '' Principia'', before publication. He also devised the quadrature formulas known as Newton–Cotes formulas, which originated from Newton's research, and made a geometric argument that can be interpreted as a logarithmic version of Euler's formula. He was the first Plumian Professor at Cambridge University from 1707 until his death. Early life Cotes was born in Burbage, Leicestershire. His parents were Robert, the rector of Burbage, and his wife, Grace, ''née'' Farmer. Roger had an elder brother, Anthony (born 1681), and a younger sister, Susanna (born 1683), both of whom died young. At first Roger attended Leicester School, where his mathematical talent was recognised. His aunt Hannah had married Rev. John Smith, and Smith took on the role of tutor to encourage Roger's talent. The Smiths' son, R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Smith (mathematician)
Robert Smith (c. 16 October 1689 – 2 February 1768) was an English mathematician. Life Smith was probably born at Lea near Gainsborough, the son of John Smith, the rector of Gate Burton, Lincolnshire and his wife Hannah Cotes. After attending Queen Elizabeth's Grammar School, Gainsborough (now Queen Elizabeth's High School) he entered Trinity College, Cambridge, in 1708, and becoming minor fellow in 1714, major fellow in 1715 and senior fellow in 1739, was chosen Master in 1742, in succession to Richard Bentley. From 1716 to 1760 he was Plumian Professor of Astronomy, and he died in the Master's Lodge at Trinity. In February 1719 he was elected a Fellow of the Royal Society. Besides editing two works by his cousin, Roger Cotes, who was his predecessor in the Plumian chair, he published ''A Compleat System of Opticks'' in 1738, which gained him the sobriquet of Old Focus, and ''Harmonics, or the Philosophy of Musical Sounds'' in 1749. Smith never married but lived ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cotes's Spiral
In physics and in the mathematics of plane curves, a Cotes's spiral (also written Cotes' spiral and Cotes spiral) is one of a family of spirals classified by Roger Cotes. Description Cotes introduces his analysis of these curves as follows: “It is proposed to list the different types of trajectories which bodies can move along when acted on by centripetal forces in the inverse ratio of the cubes of their distances, proceeding from a given place, with given speed, and direction.” (N. b. he does not describe them as spirals). The shape of spirals in the family depends on the parameters. The curves in polar coordinate system, polar coordinates, (''r'', ''θ''), ''r'' > 0 are defined by one of the following five equations: : \frac = \begin A \cosh(k\theta + \varepsilon) \\ A \exp(k\theta + \varepsilon) \\ A \sinh(k\theta + \varepsilon) \\ A (k\theta + \varepsilon) \\ A \cos(k\theta + \varepsilon) \\ \end ''A'' > 0, ''k'' > 0 and ''ε'' are arbitrary real number const ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Master Of Arts
A Master of Arts ( or ''Artium Magister''; abbreviated MA or AM) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Those admitted to the degree have typically studied subjects within the scope of the humanities and social sciences, such as history, literature, languages, linguistics, public administration, political science, communication studies, law or diplomacy; however, different universities have different conventions and may also offer the degree for fields typically considered within the natural sciences and mathematics. The degree can be conferred in respect of completing courses and passing examinations, research, or a combination of the two. The degree of Master of Arts traces its origins to the teaching license or of the University of Paris, designed to produce "masters" who were graduate teachers of their subjects. Europe Czech Republic and Slovakia Like all EU membe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bachelor Of Arts
A Bachelor of Arts (abbreviated B.A., BA, A.B. or AB; from the Latin ', ', or ') is the holder of a bachelor's degree awarded for an undergraduate program in the liberal arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four years, depending on the country and institution. * Degree attainment typically takes five or more years in Argentina, Brazil, Chile, and Peru. * Degree attainment typically takes four years in Afghanistan, Armenia, Azerbaijan, Bangladesh, Brunei, Bulgaria, Canada (except Quebec), China, Egypt, Finland, Georgia, Ghana, Greece, Hong Kong, Indonesia, India, Iran, Iraq, Ireland, Jamaica, Japan, Kazakhstan, Kenya, Kuwait, Latvia, Lebanon, Lithuania, Malaysia, Mexico, Mongolia, Myanmar, Nepal, the Netherlands, Nigeria, Pakistan, the Philippines, Qatar, Russia, Saudi Arabia, Scotland, Serbia, Singapore, South Africa, South Korea, Spain, Sri Lanka, Taiwan, Thailand, Turkey, Ukraine, the United S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graduation
A graduation is the awarding of a diploma by an educational institution. It may also refer to the ceremony that is associated with it, which can also be called Commencement speech, commencement, Congregation (university), congregation, Convocation#University use, convocation or invocation. The date of the graduation ceremony is often called ''graduation day''. Graduates can be referred to by their year of graduation. History Ceremonies for graduating students date from the first universities in Europe in the twelfth century. At that time, Latin was the language of scholars. A ''Medieval university, universitas'' was a guild of masters (such as MAs) with license to teach. The etymology of "degree" and "graduate" originates from , meaning "step". The first step was admission to a bachelor's degree. The second step was the masters step, giving the graduate admission to the and license to teach. Typical dress for graduation is a Academic dress, gown and hood, or hats adapted from t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London
London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Western Europe, with a population of 14.9 million. London stands on the River Thames in southeast England, at the head of a tidal estuary down to the North Sea, and has been a major settlement for nearly 2,000 years. Its ancient core and financial centre, the City of London, was founded by the Roman Empire, Romans as Londinium and has retained its medieval boundaries. The City of Westminster, to the west of the City of London, has been the centuries-long host of Government of the United Kingdom, the national government and Parliament of the United Kingdom, parliament. London grew rapidly 19th-century London, in the 19th century, becoming the world's List of largest cities throughout history, largest city at the time. Since the 19th cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
St Paul's School (London)
St Paul's School is a Selective school, selective Private schools in the United Kingdom, independent day school (with limited boarding school, boarding) for boys aged 13–18, founded in 1509 by John Colet and located on a 43-acre site by River Thames, the Thames in London. St Paul's was one of nine English Public school (United Kingdom), public schools investigated by the Clarendon Commission, which subsequently became known as the Clarendon Commission, Clarendon schools. However, the school successfully argued that it was a private school and consequently was omitted from the Public Schools Act 1868, as was Merchant Taylors' School, Northwood, Merchant Taylors', the other day school within the scope of George Villiers, 4th Earl of Clarendon, Lord Clarendon's terms of reference. Since 1881, St Paul's has had its own Preparatory school (UK), preparatory school, St Paul's Juniors (formerly St Paul's Juniors, Colet Court), which since 1968 has been located on the same site. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rector (ecclesiastical)
A rector is, in an ecclesiastical sense, a cleric who functions as an administrative leader in some Christian denominations. In contrast, a vicar is also a cleric but functions as an assistant and representative of an administrative leader. Ancient usage In ancient times bishops, as rulers of cities and provinces, especially in the Papal States, were called rectors, as were administrators of the patrimony of the Church (e.g. '). The Latin term ' was used by Pope Gregory I in '' Regula Pastoralis'' as equivalent to the Latin term ' (shepherd). Roman Catholic Church In the Roman Catholic Church, a rector is a person who holds the ''office'' of presiding over an ecclesiastical institution. The institution may be a particular building—such as a church (called his rectory church) or shrine—or it may be an organization, such as a parish, a mission or quasi-parish, a seminary or house of studies, a university, a hospital, or a community of clerics or religious. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plumian Professor Of Astronomy And Experimental Philosophy
The Plumian chair of Astronomy and Experimental Philosophy is one of the major professorships in Astronomy at Cambridge University, alongside the Lowndean Professorship (which is now mainly held by mathematicians). The chair is currently held at the Institute of Astronomy in the University. The Plumian chair was founded in 1704 by Thomas Plume, a member of Christ's and Archdeacon of Rochester, to "erect an Observatory and to maintain a studious and learned Professor of Astronomy and Experimental Philosophy, and to buy him and his successors utensils and instruments quadrants telescopes etc." Trustees were appointed, and statutes drawn up by Isaac Newton, John Flamsteed and John Ellys. The first Professorship was awarded in 1706 to Roger Cotes, a former student of Newton, and the stipend was increased in 1768 by Dr Robert Smith, the second Plumian Professor. Plumian Professors # Roger Cotes (1706–1716) # Robert Smith (1716–1760) # Anthony Shepherd (1760–1796) # Samuel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessment to form Cambridge University Press and Assessment under Queen Elizabeth II's approval in August 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it published over 50,000 titles by authors from over 100 countries. Its publications include more than 420 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also published Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. It also served as the King's Printer. Cambridge University Press, as part of the University of Cambridge, was a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadrature (mathematics)
In mathematics, quadrature is a historic term for the computation of areas and is thus used for computation of integrals. The word is derived from the Latin ''quadratus'' meaning "square". The reason is that, for Ancient Greek mathematicians, the computation of an area consisted of constructing a square of the same area. In this sense, the modern term is squaring. For example, the quadrature of the circle, (or squaring the circle) is a famous old problem that has been shown, in the 19th century, to be impossible with the methods available to the Ancient Greeks, Integral calculus, introduced in the 17th century, is a general method for computation of areas. ''Quadrature'' came to refer to the computation of any integral; such a computation is presently called more often "integral" or "integration". However, the computation of solutions of differential equations and differential systems is also called ''integration'', and ''quadrature'' remains useful for distinguish integra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
