William Spence (mathematician)
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William Spence (mathematician)
William Spence (born 31 July 1777 in Greenock, Scotland – died 22 May 1815 in Glasgow, Scotland) was a Scottish mathematician who published works on the fields of logarithmic functions, algebraic equations and their relation to integral and differential calculus respectively. Early life, family, and personal life Spence was the second son to Ninian Spence and his wife Sarah Townsend. Ninian Spence ran a coppersmith business, and the Spence family were a prominent family in Greenock at the time. From an early age, Spence was characterised as having a docile and reasonable nature, with him being mature for his age. At school he formed a life-long friendship with John Galt, who documented much of his life and his works posthumously. Despite having received a formal education until he was a teenager, Spence never attended university, instead he moved to Glasgow where he lodged with a friend of his fathers, learning the skills of a manufacturer. Two years after his father's de ...
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Greenock, Scotland
Greenock (; sco, Greenock; gd, Grianaig, ) is a town and administrative centre in the Inverclyde council area in Scotland, United Kingdom and a former burgh within the historic county of Renfrewshire, located in the west central Lowlands of Scotland. It forms part of a contiguous urban area with Gourock to the west and Port Glasgow to the east. The 2011 UK Census showed that Greenock had a population of 44,248, a decrease from the 46,861 recorded in the 2001 UK Census. It lies on the south bank of the Clyde at the "Tail of the Bank" where the River Clyde deepens into the Firth of Clyde. History Name Place-name scholar William J. Watson wrote that "Greenock is well known in Gaelic as Grianáig, dative of grianág, a sunny knoll". The Scottish Gaelic place-name ''Grianaig'' is relatively common, with another (Greenock) near Callander in Menteith (formerly in Perthshire) and yet another at Muirkirk in Kyle, now in East Ayrshire. R. M. Smith in (1921) described the alternat ...
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Louis François Antoine Arbogast
Louis François Antoine Arbogast (4 October 1759 – 8 April 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on series and the derivatives known by his name: he was the first writer to separate the symbols of operation from those of quantity, introducing systematically the operator notation ''DF'' for the derivative of the function ''F''. In 1800, he published a calculus treatise where the first known statement of what is currently known as Faà di Bruno's formula appears, 55 years before the first published paper of Francesco Faà di Bruno on that topic. Biography He was professor of mathematics at the Collège de Colmar and entered a mathematical competition run by the St Petersburg Academy. His entry was to bring him fame and an important place in the history of the development of the calculus. Arbogast submitted an essay to the St Petersburg Academy in which he came down firmly on the side of Eule ...
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People From Greenock
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of ...
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Scientists From Glasgow
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The ...
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19th-century Scottish Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the la ...
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Scottish Flautists
Scottish usually refers to something of, from, or related to Scotland, including: *Scottish Gaelic, a Celtic Goidelic language of the Indo-European language family native to Scotland *Scottish English *Scottish national identity, the Scottish identity and common culture *Scottish people, a nation and ethnic group native to Scotland *Scots language, a West Germanic language spoken in lowland Scotland *Symphony No. 3 (Mendelssohn), a symphony by Felix Mendelssohn known as ''the Scottish'' See also

*Scotch (other) *Scotland (other) *Scots (other) *Scottian (other) *Schottische * {{disambiguation Scottish people, Language and nationality disambiguation pages ca:Escocès ...
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Quarterly Review
The ''Quarterly Review'' was a literary and political periodical founded in March 1809 by London London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a majo ... publishing house John Murray (publishing house), John Murray. It ceased publication in 1967. It was referred to as ''The London Quarterly Review'', as reprinted by Leonard Scott, for an American edition. Early years Initially, the ''Quarterly'' was set up primarily to counter the influence on public opinion of the ''Edinburgh Review''. Its first editor, William Gifford, was appointed by George Canning, at the time Foreign Secretary, later Prime Minister. Early contributors included Secretaries of the Admiralty John Wilson Croker and Sir John Barrow, Poet Laureate Robert Southey, poet-novelist Sir Walter Scott, Italian exile Ugo Foscolo ...
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John Herschel
Sir John Frederick William Herschel, 1st Baronet (; 7 March 1792 – 11 May 1871) was an English polymath active as a mathematician, astronomer, chemist, inventor, experimental photographer who invented the blueprint and did botanical work. Herschel originated the use of the Julian day system in astronomy. He named seven moons of Saturn and four moons of Uranus – the seventh planet, discovered by his father Sir William Herschel. He made many contributions to the science of photography, and investigated colour blindness and the chemical power of ultraviolet rays. His ''Preliminary Discourse'' (1831), which advocated an inductive approach to scientific experiment and theory-building, was an important contribution to the philosophy of science. Early life and work on astronomy Herschel was born in Slough, Buckinghamshire, the son of Mary Baldwin and astronomer William Herschel. He was the nephew of astronomer Caroline Herschel. He studied shortly at Eton College an ...
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Spence Dilogarithm Table
Spence may refer to: Places * Spence, Australian Capital Territory, a suburb of Canberra, Australia * Division of Spence, a federal electoral division in Australia * Spence, South Australia, a locality * Spence, Ontario, Canada, a ghost town People * Spence (surname), a list of people with the surname Spence * Spence (given name), a list of people with the given name or nickname Maritime vessels * , two ships of the Royal Navy * , a World War II destroyer * ''Spence'' (tugboat), a tugboat that sank in 2015 Other uses * Spence Diamonds, a Canadian jewelry retailer * Spence School, a day school for girls in New York City * Spence Air Base, Georgia, United States, a United States Air Force base from 1941 to 1961, reopened as: ** Spence Airport, Georgia, United States, a public-use airport * Spence Kovak, a fictional character played by Jeremy Piven See also * Spence Shale, the middle member of the Langston Formation in southeastern Idaho and northeastern Utah, United States * Spe ...
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Iteration
Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. In mathematics and computer science, iteration (along with the related technique of recursion) is a standard element of algorithms. Mathematics In mathematics, iteration may refer to the process of iterating a function, i.e. applying a function repeatedly, using the output from one iteration as the input to the next. Iteration of apparently simple functions can produce complex behaviors and difficult problems – for examples, see the Collatz conjecture and juggler sequences. Another use of iteration in mathematics is in iterative methods which are used to produce approximate numerical solutions to certain mathematical problems. Newton's method is an example of an iterative method. Manual calculation of a number's square root is a co ...
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Binomial Theorem
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial into a sum involving terms of the form , where the exponents and are nonnegative integers with , and the coefficient of each term is a specific positive integer depending on and . For example, for , (x+y)^4 = x^4 + 4 x^3y + 6 x^2 y^2 + 4 x y^3 + y^4. The coefficient in the term of is known as the binomial coefficient \tbinom or \tbinom (the two have the same value). These coefficients for varying and can be arranged to form Pascal's triangle. These numbers also occur in combinatorics, where \tbinom gives the number of different combinations of elements that can be chosen from an -element set. Therefore \tbinom is often pronounced as " choose ". History Special cases of the binomial theorem were known since at least the 4th century BC when Greek mathematician Euclid ment ...
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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
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