C. V. Durell
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C. V. Durell
Clement Vavasor Durell (born 6 June 1882, Fulbourn, Cambridgeshire, died South Africa, 10 December 1968) was an English schoolmaster who wrote mathematical textbooks. Background and early life A son of John Vavasor Durell (1837–1923), Rector of Fulbourn, Cambridgeshire, and his wife Ellen Annie Carlyon, Durell had four older brothers. He was educated at Felsted School and Clare College, Cambridge (1900–1904), where he gained a first class in part two of the mathematics tripos and was seventh wrangler. Career *Assistant master at Gresham's School, Holt, 1904–1905 *Assistant master at Winchester College, 1910 *Lieutenant in Royal Garrison Artillery during First World War * Mentioned in Dispatches *Housemaster of Chernocke House, Winchester College, 1920–1927 In 1900 he joined the Mathematical Association and in the 1900s was contributing articles on teaching to its journal, ''The Mathematical Gazette''. After the First World War, he found a substantial sec ...
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Fulbourn
Fulbourn is a village in Cambridgeshire, England, with evidence of settlement dating back to Neolithic times. The village was probably established under its current name by 1200. The waterfowl-frequented stream after which it was named lies in the east, close to the division between arable and fenland. Geography Fulbourn lies about five miles (8 km) southeast of the centre of Cambridge, separated from the outer city boundary by farmland and the grounds of Fulbourn Hospital. The village itself is fairly compact and roughly in the centre of the administrative parish. North and east of the village the land is flat, drained fen; to the south and southwest the Gog Magog Hills rise to over . Outside the residential area the land is open farmland, with relatively few trees. There is a wooded area, including a nature reserve (Fulbourn Fen) to the east in the Manor grounds. The village is set within the Cambridge Green Belt. The traditional parish boundaries follow the line of a ...
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Winchester
Winchester (, ) is a City status in the United Kingdom, cathedral city in Hampshire, England. The city lies at the heart of the wider City of Winchester, a local government Districts of England, district, at the western end of the South Downs National Park, on the River Itchen, Hampshire, River Itchen. It is south-west of London and from Southampton, its nearest city. At the 2021 census, the built-up area of Winchester had a population of 48,478. The wider City of Winchester district includes towns such as New Alresford, Alresford and Bishop's Waltham and had a population of 127,439 in 2021. Winchester is the county town of Hampshire and contains the head offices of Hampshire County Council. Winchester developed from the Roman Britain, Roman town of Venta Belgarum, which in turn developed from an Iron Age ''oppidum''. Winchester was one of if not the most important cities in England until the Norman Conquest in the eleventh century. It now has become one of the most expensive ...
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Trigonometry
Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities. These trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation. History Sumerian astronomers studied angle me ...
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Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ...
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Mechanics
Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of an object's position relative to its environment. Theoretical expositions of this branch of physics has its origins in Ancient Greece, for instance, in the writings of Aristotle and Archimedes (see History of classical mechanics and Timeline of classical mechanics). During the early modern period, scientists such as Galileo Galilei, Johannes Kepler, Christiaan Huygens, and Isaac Newton laid the foundation for what is now known as classical mechanics. As a branch of classical physics, mechanics deals with bodies that are either at rest or are moving with velocities significantly less than the speed of light. It can also be defined as the physical science that deals with the motion of and forces on bodies not in the quantum realm. History ...
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Calculus
Calculus is the mathematics, 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 Rate of change (mathematics), 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 (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately ...
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Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication. Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called '' systems of linear equations''. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions. Abstract algebra studies algebraic structures, which consist of a set of mathemati ...
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Christ's Hospital
Christ's Hospital is a Public school (United Kingdom), public school (English Private schools in the United Kingdom, fee-charging boarding school for pupils aged 11–18) with a royal charter, located to the south of Horsham in West Sussex. The school was founded in 1552 and the royal charter granted in 1553 (26 June, 7 Edw. VI). Since its establishment, Christ's Hospital has been a charity school, with a core aim to offer children from disadvantaged backgrounds the chance of a better education. Charitable foundation Christ's Hospital is unusual among British independent schools in that the majority of the students receive bursaries. This stems from its founding charter as a charitable school. School fees are paid on a Means test, means-tested basis, with substantial subsidies paid by the school or their benefactors, so that pupils from all walks of life are able to have private education that would otherwise be beyond the means of their parents. The trustees of the foundatio ...
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Marlborough College
Marlborough College is a Public school (United Kingdom), public school (English private boarding school) for pupils aged 13 to 18 in Marlborough, Wiltshire, England. It was founded as Marlborough School in 1843 by the Dean of Manchester, George Hull Bowers, for the education of the sons of Church of England clergy. It is one of the oldest boarding schools in the UK, and now adopts a co-educational model. In 2023 there were around 1000 pupils, approximately 45% of whom were female. In 2024, the school was included in The Schools Index as one of the 150 best private schools in the world and among the top 30 senior schools in the UK. Fees for boarding pupils in 2024/2025 are £50,985 per year. History Marlborough was, in 1968, the first major British independent boys' school to allow girls into the sixth form, setting a trend that many other schools followed. The school became fully co-educational in 1989, and made a major contribution to the School Mathematics Project (from 196 ...
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Charterhouse School
Charterhouse is a Public school (United Kingdom), public school (English independent boarding school for pupils aged 13–18) in Godalming, Surrey, England. Founded by Thomas Sutton in 1611 on the site of the old Carthusian monastery in Charterhouse Square, Smithfield, London, Smithfield, London, it educates over 1000 pupils, aged 13 to 18 years. Charterhouse is one of the original nine English Public school (United Kingdom), public schools reported upon by the Clarendon Commission in 1864 leading to its regulation by the Public Schools Act 1868. Charterhouse charges full boarders up to £47,535 per annum (2023/2024). It educated the British Prime Minister of the United Kingdom, Prime Minister Lord Liverpool and has List of Old Carthusians, multiple notable alumni. History In May 1611, the London Charterhouse came into the hands of Thomas Sutton (1532–1611) of Knaith, Lincolnshire. He acquired a fortune by the discovery of coal on two estates which he had leased near Newc ...
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Harrow School
Harrow School () is a Public school (United Kingdom), public school (English boarding school for boys) in Harrow on the Hill, Greater London, England. The school was founded in 1572 by John Lyon (school founder), John Lyon, a local landowner and farmer, under a royal charter of Queen Elizabeth I. The school has an enrollment of about 820 boys, all of whom boarding school, board full-time, in twelve boarding houses. It was one of the seven public schools selected for reform in the Public Schools Act 1868. Harrow's uniform includes morning suits, Boater, straw boater hats, top hats and Walking stick, canes. Its list of distinguished alumni includes seven former Prime Minister of the United Kingdom, British prime ministers: George Hamilton-Gordon, 4th Earl of Aberdeen, Aberdeen, Spencer Perceval, Perceval, F. J. Robinson, 1st Viscount Goderich, Goderich, Robert Peel, Peel, Henry John Temple, 3rd Viscount Palmerston, Palmerston, Stanley Baldwin, Baldwin and Winston Churchill, Churc ...
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Eton College
Eton College ( ) is a Public school (United Kingdom), public school providing boarding school, boarding education for boys aged 13–18, in the small town of Eton, Berkshire, Eton, in Berkshire, in the United Kingdom. It has educated Prime Minister#History, prime ministers, world leaders, Nobel laureates, Academy Award and BAFTA award-winning actors, and generations of the aristocracy, and has been referred to as "the nurse of England's statesmen". The school is the largest boarding school in England, ahead of Millfield and Oundle School, Oundle. Together with Wellington College, Berkshire, Wellington College and Downe House School, it is one of three private schools in Berkshire to be named in the list of the world's best 100 private schools. Eton charges up to £52,749 per year (£17,583 per term, with three terms per academic year, for 2023/24). It was the sixth most expensive Headmasters' and Headmistresses' Conference boarding school in the UK in 2013–14. It was founded ...
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