George Chrystal
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George Chrystal
George Chrystal FRSE FRS (8 March 1851 – 3 November 1911) was a Scottish mathematician. He is primarily know for his books on algebra and his studies of seiches (wave patterns in large inland bodies of water) which earned him a Gold Medal from the Royal Society of London that was confirmed shortly after his death. Life He was born in Old Meldrum on 8 March 1851, the son of Margaret (née Burr) and William Chrystal, a wealthy farmer and grain merchant. He was educated at Aberdeen Grammar School and the University of Aberdeen. In 1872, he moved to study under James Clerk Maxwell at Peterhouse, Cambridge. He graduated Second Wrangler in 1875, joint with William Burnside, and was elected a fellow of Corpus Christi. He was appointed to the Regius Chair of Mathematics at the University of St Andrews in 1877, and then in 1879 to the Chair in Mathematics at the University of Edinburgh. In 1911, he was awarded the Royal Medal of the Royal Society for his researches into the sur ...
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FRSE
Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This society received a royal charter in 1783, allowing for its expansion. Elections Around 50 new fellows are elected each year in March. there are around 1,650 Fellows, including 71 Honorary Fellows and 76 Corresponding Fellows. Fellows are entitled to use the post-nominal letters FRSE, Honorary Fellows HonFRSE, and Corresponding Fellows CorrFRSE. Disciplines The Fellowship is split into four broad sectors, covering the full range of physical and life sciences, arts, humanities, social sciences, education, professions, industry, business and public life. A: Life Sciences * A1: Biomedical and Cognitive Sciences * A2: Clinical Sciences * A3: Organismal and Environmental Biology * A4: Cell and Molecular Biology B: Physical, Engineering and ...
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Chrystal's Equation
In mathematics, Chrystal's equation is a first order nonlinear ordinary differential equation, named after the mathematician George Chrystal, who discussed the singular solution of this equation in 1896. The equation reads asInce, E. L. (1939). Ordinary Differential Equations, London (1927). Google Scholar. :\left(\frac\right)^2 + Ax \frac + By + Cx^2 =0 where A,\ B, \ C are constants, which upon solving for dy/dx, gives :\frac = -\frac x \pm \frac (A^2 x^2 - 4By - 4Cx^2)^. This equation is a generalization of Clairaut's equation since it reduces to Clairaut's equation under certain condition as given below. Solution Introducing the transformation 4By=(A^2-4C-z^2)x^2 gives :xz\frac = A^2 + AB - 4C \pm Bz - z^2. Now, the equation is separable, thus :\frac = \frac. The denominator on the left hand side can be factorized if we solve the roots of the equation A^2 + AB - 4C \pm Bz - z^2=0 and the roots are a,\ b = \pm \left B +\sqrt \right2, therefore :\frac = \frac. If a\neq ...
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Regius Chair Of Mathematics
The Regius Professorship of Mathematics is the name given to three chairs in mathematics at British universities, one at the University of St Andrews, founded by Charles II in 1668, the second one at the University of Warwick, founded in 2013 to commemorate the Diamond Jubilee of Elizabeth II and the third one at the University of Oxford, founded in 2016. University of St Andrews (1668) From 1997 to 2015 there was no Regius Professor of Mathematics. In April 2013 the post was advertised, and in 2015 Igor Rivin was appointed. He was succeeded by Kenneth Falconer in 2017. List of Regius Professors of Mathematics The following list may be incomplete. * 1668–1674 James Gregory * 1674–1688 William SandersJ. J. O'Connor and E. F. Robertson (1996Mathematics in St Andrews to 1700 on the Website of the University of St Andrews; read 27. November 2015. * 1689–1690 James Fenton * 1690–1707 vacant * 1707–1739 Charles Gregory * 1739–1765 David GregoryJ. J. O'Connor and E. F. ...
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Corpus Christi College, Cambridge
Corpus Christi College (full name: "The College of Corpus Christi and the Blessed Virgin Mary", often shortened to "Corpus"), is a constituent college of the University of Cambridge. From the late 14th century through to the early 19th century it was also commonly known as St Benet's College. The college is notable as the only one founded by Cambridge townspeople: it was established in 1352 by the Guild of Corpus Christi and the Guild of the Blessed Virgin Mary, making it the sixth-oldest college in Cambridge. With around 250 undergraduates and 200 postgraduates, it also has the second smallest student body of the traditional colleges of the University, after Peterhouse. The College has traditionally been one of the more academically successful colleges in the University of Cambridge. In the unofficial Tompkins Table, which ranks the colleges by the class of degrees obtained by their undergraduates, in 2012 Corpus was in third position, with 32.4% of its undergraduates achievi ...
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William Burnside
:''This English mathematician is sometimes confused with the Irish mathematician William S. Burnside (1839–1920).'' __NOTOC__ William Burnside (2 July 1852 – 21 August 1927) was an English mathematician. He is known mostly as an early researcher in the theory of finite groups. Burnside was born in London in 1852. He went to school at Christ's Hospital until 1871 and attended St. John's and Pembroke Colleges at the University of Cambridge, where he was the Second Wrangler (bracketed with George Chrystal) in 1875. He lectured at Cambridge for the following ten years, before being appointed professor of mathematics at the Royal Naval College in Greenwich. While this was a little outside the main centres of British mathematical research, Burnside remained a very active researcher, publishing more than 150 papers in his career. Burnside's early research was in applied mathematics. This work was of sufficient distinction to merit his election as a fellow of the Royal Society ...
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Second Wrangler
At the University of Cambridge in England, a "Wrangler" is a student who gains first-class honours in the final year of the university's degree in mathematics. The highest-scoring student is the Senior Wrangler, the second highest is the Second Wrangler, and so on. At the other end of the scale, the person who achieves the lowest exam marks while still earning a third-class honours degree (that is, while still earning an honours degree at all) is known as the wooden spoon. Until 1909, the university made the rankings public. Since 1910, it has publicly revealed only the class of degree gained by each student. An examiner reveals the identity of the Senior Wrangler "unofficially" by tipping his hat when reading out the person's name, but other rankings are communicated to each student privately. Therefore, the names of only some 20th-century Senior Wranglers (such as Crispin Nash-Williams, Christopher Budd, Frank P. Ramsey, Donald Coxeter, Kevin Buzzard, Jayant Narlikar, Georg ...
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Peterhouse
Peterhouse is the oldest constituent college of the University of Cambridge in England, founded in 1284 by Hugh de Balsham, Bishop of Ely. Today, Peterhouse has 254 undergraduates, 116 full-time graduate students and 54 fellows. It is quite often erroneously referred to as ''Peterhouse College'', although the correct name is simply ''Peterhouse''. Peterhouse alumni are notably eminent within the natural sciences, including scientists Lord Kelvin, Henry Cavendish, Charles Babbage, James Clerk Maxwell, James Dewar, Frank Whittle, and five Nobel prize winners in science: Sir John Kendrew, Sir Aaron Klug, Archer Martin, Max Perutz, and Michael Levitt. Peterhouse alumni also include the Archbishop of Canterbury John Whitgift, Lord Chancellors, Lord Chief Justices, as well as Oscar-winning film director Sam Mendes, and comedian David Mitchell. British Prime Minister Augustus FitzRoy, 3rd Duke of Grafton, and Elijah Mudenda, second prime minister of Zambia, also studied at the ...
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Aberdeen Grammar School
Aberdeen Grammar School is a state secondary school in Aberdeen, Scotland. It is one of thirteen secondary schools run by the Aberdeen City Council educational department. It is the oldest school in the city and one of the oldest grammar schools in the United Kingdom, with a history spanning more than 750 years. Founded around 1257, the year used in official school records, it began operating as a boys' school. On Skene Street, near the centre of the city, it was originally situated on Schoolhill, near the current site of Robert Gordon's College. It moved to its current site in 1863, and became co-educational in 1973. In an annual survey run by the British broadsheet newspaper ''The Times'', Aberdeen Grammar was rated the 15th best Scottish state secondary school in 2019, and second in Aberdeen behind Cults Academy. The most notable former student is Lord Byron, the Romantic poet and writer who spent a short amount of time at the school before his move back to England as a 10 ...
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Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 Fellows. The Society covers a broader selection of fields than the Royal Society of London, including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ...
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Grain Trade
The grain trade refers to the local and international trade in cereals and other food grains such as wheat, barley, maize, and rice. Grain is an important trade item because it is easily stored and transported with limited spoilage, unlike other agricultural products. Healthy grain supply and trade is important to many societies, providing a caloric base for most food systems as well as important role in animal feed for animal agriculture. The grain trade is as old as agricultural settlement, identified in many of the early cultures that adopted sedentary farming. Major societal changes have been directly connected to the grain trade, such as the fall of the Roman Empire. From the early modern period onward, grain trade has been an important part of colonial expansion and international power dynamics. The geopolitical dominance of countries like Australia, the United States, Canada and the Soviet Union during the 20th century was connected with their status as grain surplus c ...
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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 as The Royal Society 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 ...
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Seiche
A seiche ( ) is a standing wave in an enclosed or partially enclosed body of water. Seiches and seiche-related phenomena have been observed on lakes, reservoirs, swimming pools, bays, harbors, caves and seas. The key requirement for formation of a seiche is that the body of water be at least partially bounded, allowing the formation of the standing wave. The term was promoted by the Swiss hydrologist François-Alphonse Forel in 1890, who was the first to make scientific observations of the effect in Lake Geneva. The word had apparently long been used in the region to describe oscillations in alpine lakes. According to Wilson (1972), this Swiss French dialect word comes from the Latin word meaning "dry", i.e., as the water recedes, the beach dries. The French word or (dry) descends from the Latin. Seiches in harbours can be caused by ''long period'' or '' infragravity waves'', which are due to subharmonic nonlinear wave interaction with the wind waves, having periods longer t ...
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