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Brook Taylor
Brook Taylor (18 August 1685 – 29 December 1731) was an English mathematician best known for creating Taylor's theorem and the Taylor series, which are important for their use in mathematical analysis. Life and work Brook Taylor was born in Edmonton (former Middlesex). Taylor was the son of John Taylor, MP of Patrixbourne, Kent and Olivia Tempest, the daughter of Sir Nicholas Tempest, Baronet of Durham. He entered St John's College, Cambridge, as a fellow-commoner in 1701, and took degrees in LL.B. in 1709 and LL.D. in 1714. Taylor studied mathematics under John Machin and John Keill, leading to Taylor obtaining a solution to the problem of "center of oscillation." Taylor's solution remained unpublished until May 1714, when his claim to priority was disputed by Johann Bernoulli. Taylor's ''Methodus Incrementorum Directa et Inversa'' (1715) ("Direct and Indirect Methods of Incrementation") added a new branch to higher mathematics, called "calculus of finite dif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Municipal Borough Of Edmonton
Edmonton was a local government district in north-east Middlesex, England, from 1850 to 1965. History Edmonton local board was formed in 1850 for the parish of Edmonton All Saints. In 1881 Southgate was separated from the Edmonton local board's district, forming its own local board. Edmonton became an urban district in 1894 under the Local Government Act of that year. In 1937 the urban district was granted a charter of incorporation as a municipal borough. In 1965 the municipal borough was abolished and its former area transferred to Greater London to be combined with that of the Municipal Borough of Southgate and the Municipal Borough of Enfield to form the London Borough of Enfield. Edmonton's old town hall in Fore Street, designed in the Gothic style and completed in 1885, was demolished in the 1980s. Coat of arms The Municipal Borough of Edmonton was granted a coat of arms on 2 October 1937. It was as follows: The black and blue background represents the division of the a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joshua Kirby
Joshua Kirby (1716, Parham, Suffolk – 1774, Kew), often mistakenly called John Joshua Kirby, was an English 18th-century landscape painter, engraver, writer, draughtsman and architect famed for his publications and teaching on linear perspective based on Brook Taylor's mathematics. Biography Joshua was the second of five sons of topographer John Kirby. In early life he assisted his father in the preparation of his important Survey of Suffolk, which took the form of a volume (1735) entitled ''The Suffolk Traveller'', an extensive gazetteer in which the parishes and towns, and the principal landowners, seats, advowsons, antiquities and industries of the two counties of West and East Suffolk were described, the text counterpart of John Kirby's County Map published in 1736. In 1739 Joshua married Sarah Bull, and his children Sarah (afterwards Mrs. Sarah Trimmer) and William soon followed. From an early age he was very studious, but, showing special aptitude as an artist, he set ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. In formulas, a limit of a function is usually written as : \lim_ f(x) = L, (although a few authors may use "Lt" instead of "lim") and is read as "the limit of of as approaches equals ". The fact that a function approaches the limit as approaches is sometimes denoted by a right arrow (→ or \rightarrow), as in :f(x) \to L \text x \to c, which reads "f of x tends to L as x tends to c". History Grégoire de Saint-Vincent gave the first definition of limit (terminus) of a geometric series in his work ''Opus Geometricum'' (1647): "The ''terminus'' of a pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinitesimal
In mathematics, an infinitesimal number is a quantity that is closer to zero than any standard real number, but that is not zero. The word ''infinitesimal'' comes from a 17th-century Modern Latin coinage ''infinitesimus'', which originally referred to the " infinity- th" item in a sequence. Infinitesimals do not exist in the standard real number system, but they do exist in other number systems, such as the surreal number system and the hyperreal number system, which can be thought of as the real numbers augmented with both infinitesimal and infinite quantities; the augmentations are the reciprocals of one another. Infinitesimal numbers were introduced in the development of calculus, in which the derivative was first conceived as a ratio of two infinitesimal quantities. This definition was not rigorously formalized. As calculus developed further, infinitesimals were replaced by limits, which can be calculated using the standard real numbers. Infinitesimals regained popularit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
François-Joseph Fétis
François-Joseph Fétis (; 25 March 1784 – 26 March 1871) was a Belgian musicologist, composer, teacher, and one of the most influential music critics of the 19th century. His enormous compilation of biographical data in the ''Biographie universelle des musiciens'' remains an important source of information today. Family Fétis was born in Mons, Hainaut, eldest son of Antoine-Joseph Fetis and Elisabeth Desprets, daughter of a famous chirurgical doctor. He had 9 brothers and sisters. His father was titular organist of the noble chapter of Saint-Waltrude. His grandfather was an organ manufacturer. He was trained as a musician by his father and played at young age on the Choir organ of Saint Waltrude. In October 1806 he married to Adélaïde-Louise-Catherine Robert, daughter of the French politician Pierre-François-Joseph Robert and Louise de Keralio, friend of Robespierre. They had 2 sons : most famous was Édouard Fétis, (1812-1909), his eldest son who helped his father with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph-Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an and , later naturalized [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomical Refraction
Atmospheric refraction is the deviation of light or other electromagnetic wave from a straight line as it passes through the atmosphere due to the variation in air density as a function of height. This refraction is due to the velocity of light through air decreasing (the refractive index increases) with increased density. Atmospheric refraction near the ground produces mirages. Such refraction can also raise or lower, or stretch or shorten, the images of distant objects without involving mirages. Turbulent air can make distant objects appear to twinkle or shimmer. The term also applies to the refraction of sound. Atmospheric refraction is considered in measuring the position of both celestial and terrestrial objects. Astronomical or celestial refraction causes astronomical objects to appear higher above the horizon than they actually are. Terrestrial refraction usually causes terrestrial objects to appear higher than they actually are, although in the afternoon when the ai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Difference
A finite difference is a mathematical expression of the form . If a finite difference is divided by , one gets a difference quotient. The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations, especially boundary value problems. The difference operator, commonly denoted \Delta is the operator that maps a function to the function \Delta /math> defined by :\Delta x)= f(x+1)-f(x). A difference equation is a functional equation that involves the finite difference operator in the same way as a differential equation involves derivatives. There are many similarities between difference equations and differential equations, specially in the solving methods. Certain recurrence relations can be written as difference equations by replacing iteration notation with finite differences. In numerical analysis, finite differences are widely used for approximating derivatives, and the term " ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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, and 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. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
