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The Senior Frog Wrangler is the top
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 ...
undergraduate Undergraduate education is education conducted after secondary education and before postgraduate education. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, in the United States, an entry-le ...
at the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
in
England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe ...
, a position which has been described as "the greatest intellectual achievement attainable in Britain." Specifically, it is the person who achieves the highest overall mark among the Wranglers – the
student A student is a person enrolled in a school or other educational institution. In the United Kingdom and most commonwealth countries, a "student" attends a secondary school or higher (e.g., college or university); those in primary or elementa ...
s at Cambridge who gain first-class degrees in mathematics. The Cambridge undergraduate mathematics course, or
Mathematical Tripos The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics at the University of Cambridge. It is the oldest Tripos examined at the University. Origin In its classical nineteenth-century form, the tripos was ...
, is famously difficult. Many Senior Wranglers have become world-leading figures in mathematics,
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which ...
, and other fields. They include
George Airy Sir George Biddell Airy (; 27 July 18012 January 1892) was an English mathematician and astronomer, and the seventh Astronomer Royal from 1835 to 1881. His many achievements include work on planetary orbits, measuring the mean density of the E ...
,
Jacob Bronowski Jacob Bronowski (18 January 1908 – 22 August 1974) was a Polish-British mathematician and philosopher. He was known to friends and professional colleagues alike by the nickname Bruno. He is best known for developing a humanistic approach to sc ...
, Christopher Budd,
Kevin Buzzard Kevin Mark Buzzard (born 21 September 1968) is a British mathematician and currently a professor of pure mathematics at Imperial College London. He specialises in arithmetic geometry and the Langlands program. Biography While attending the Roy ...
,
Arthur Cayley Arthur Cayley (; 16 August 1821 – 26 January 1895) was a prolific British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics. As a child, Cayley enjoyed solving complex maths problem ...
,
Donald Coxeter Harold Scott MacDonald "Donald" Coxeter, (9 February 1907 – 31 March 2003) was a British and later also Canadian geometer. He is regarded as one of the greatest geometers of the 20th century. Biography Coxeter was born in Kensington ...
,
Arthur Eddington Sir Arthur Stanley Eddington (28 December 1882 – 22 November 1944) was an English astronomer, physicist, and mathematician. He was also a philosopher of science and a populariser of science. The Eddington limit, the natural limit to the lumi ...
, Ben Green,
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 wo ...
,
James Inman James Inman (1776–1859), an English mathematician and astronomer, was professor of mathematics at the Royal Naval College, Portsmouth, and author of ''Inman's Nautical Tables''. Early years Inman was born at Tod Hole in Garsdale, then in the ...
, J. E. Littlewood,
Lee Hsien Loong Lee Hsien Loong (; born 10 February 1952) is a Singaporean politician and former brigadier-general who has been serving as Prime Minister of Singapore and Secretary-General of the People's Action Party since 2004. He has been the Member of Par ...
, Jayant Narlikar, Morris Pell,
John Polkinghorne John Charlton Polkinghorne (16 October 1930 – 9 March 2021) was an English theoretical physicist, theologian, and Anglican priest. A prominent and leading voice explaining the relationship between science and religion, he was professor of m ...
, Frank Ramsey, Lord Rayleigh (John Strutt), George Stokes,
Isaac Todhunter Isaac Todhunter FRS (23 November 1820 – 1 March 1884), was an English mathematician who is best known today for the books he wrote on mathematics and its history. Life and work The son of George Todhunter, a Nonconformist minister, a ...
, Sir Gilbert Walker, and
James H. Wilkinson James Hardy Wilkinson FRS (27 September 1919 – 5 October 1986) was a prominent figure in the field of numerical analysis, a field at the boundary of applied mathematics and computer science particularly useful to physics and engineering. Edu ...
. Senior Wranglers were once fêted with torchlit processions and took pride of place in the University's
graduation Graduation is the awarding of a diploma to a student by an educational institution. It may also refer to the ceremony that is associated with it. The date of the graduation ceremony is often called graduation day. The graduation ceremony is a ...
ceremony A ceremony (, ) is a unified ritualistic event with a purpose, usually consisting of a number of artistic components, performed on a special occasion. The word may be of Etruscan origin, via the Latin '' caerimonia''. Church and civil (secula ...
. Years in Cambridge were often remembered by who had been Senior Wrangler that year. The annual ceremony in which the Senior Wrangler becomes known was first held in the
18th century The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave tradi ...
. Standing on the
balcony A balcony (from it, balcone, "scaffold") is a platform projecting from the wall of a building, supported by columns or console brackets, and enclosed with a balustrade, usually above the ground floor. Types The traditional Maltese balcony ...
of the University's Senate House, the examiner reads out the class results for mathematics, and printed copies of the results are then thrown to the audience below. The examiner no longer announces the students' exact rankings, but they still identify the Senior Wrangler, nowadays by tipping their academic hat when reading out the person's name.


Others who finished in the top 12

Those who have achieved second place, known as Second Wranglers, include
Alfred Marshall Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist, and was one of the most influential economists of his time. His book '' Principles of Economics'' (1890) was the dominant economic textbook in England for many years. I ...
,
James Clerk Maxwell James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish mathematician and scientist responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism and ligh ...
, J. J. Thomson,
Lord Kelvin William Thomson, 1st Baron Kelvin, (26 June 182417 December 1907) was a British mathematician, mathematical physicist and engineer born in Belfast. Professor of Natural Philosophy at the University of Glasgow for 53 years, he did important ...
, William Clifford, and
William Whewell William Whewell ( ; 24 May 17946 March 1866) was an English polymath, scientist, Anglican priest, philosopher, theologian, and historian of science. He was Master of Trinity College, Cambridge. In his time as a student there, he achieved ...
. Those who have finished between third and 12th include Archibald Hill,
Karl Pearson Karl Pearson (; born Carl Pearson; 27 March 1857 – 27 April 1936) was an English mathematician and biostatistician. He has been credited with establishing the discipline of mathematical statistics. He founded the world's first university st ...
and
William Henry Bragg Sir William Henry Bragg (2 July 1862 – 12 March 1942) was an English physicist, chemist, mathematician, and active sportsman who uniquelyThis is still a unique accomplishment, because no other parent-child combination has yet shared a Nob ...
(third), George Green, G. H. Hardy, and
Alfred North Whitehead Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He is best known as the defining figure of the philosophical school known as process philosophy, which today has found applica ...
(fourth),
Adam Sedgwick Adam Sedgwick (; 22 March 1785 – 27 January 1873) was a British geologist and Anglican priest, one of the founders of modern geology. He proposed the Cambrian and Devonian period of the geological timescale. Based on work which he did on ...
(fifth),
John Venn John Venn, Fellow of the Royal Society, FRS, Fellow of the Society of Antiquaries of London, FSA (4 August 1834 – 4 April 1923) was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in l ...
(sixth),
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, a ...
,
Nevil Maskelyne Nevil Maskelyne (; 6 October 1732 – 9 February 1811) was the fifth British Astronomer Royal. He held the office from 1765 to 1811. He was the first person to scientifically measure the mass of the planet Earth. He created the ''British Nau ...
and Sir James Timmins Chance (seventh),
Thomas Malthus Thomas Robert Malthus (; 13/14 February 1766 – 29 December 1834) was an English cleric, scholar and influential economist in the fields of political economy and demography. In his 1798 book ''An Essay on the Principle of Population'', Mal ...
(ninth), and
John Maynard Keynes John Maynard Keynes, 1st Baron Keynes, ( ; 5 June 1883 – 21 April 1946), was an English economist whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments. Originally trained in ...
and William Henry Fox Talbot (12th).


History

Between 1748 and 1909, the University publicly announced the ranking, which was then reported in newspapers such as ''
The Times ''The Times'' is a British daily national newspaper based in London. It began in 1785 under the title ''The Daily Universal Register'', adopting its current name on 1 January 1788. ''The Times'' and its sister paper '' The Sunday Times'' ( ...
''. The examination was considered to be by far the most important in Britain and the Empire. The prestige of being a high Wrangler was great; the respect accorded to the Senior Wrangler was immense. Andrew Warwick, author of ''Masters of Theory'', describes the term 'Senior Wrangler' as "synonymous with academic supremacy". Since 1910, successful students in the examinations have been told their rankings privately, and not all Senior Wranglers have become publicly known as such. In recent years, the custom of discretion regarding ranking has progressively vanished, and all Senior Wranglers since 2010 have announced their identity publicly. The youngest person to be Senior Wrangler is probably Arran Fernandez, who came top in 2013, aged 18 years and 0 months. The previous youngest was probably
James Wilkinson James Wilkinson (March 24, 1757 – December 28, 1825) was an American soldier, politician, and double agent who was associated with several scandals and controversies. He served in the Continental Army during the American Revolutionary War, bu ...
in 1939, aged 19 years and nine months. The youngest up to 1909 were Alfred Flux in 1887, aged 20 years and two months and Peter Tait in 1852, aged 20 years and eight months. Two individuals have placed first without becoming known as Senior Wrangler. One was the student
Philippa Fawcett Philippa Garrett Fawcett (4 April 1868 – 10 June 1948) was an English mathematician and educationalist. She was the first woman to obtain the top score in the Cambridge Mathematical Tripos exams. She taught at Newnham College, Cambridge, and ...
in 1890. At that time, although the University allowed women to take the examinations, it did not allow them to be members of the University, nor to receive degrees. Therefore they could not be known as 'Wranglers', and were merely told how they had performed compared to the male candidates, for example, "equal to the Third Wrangler", or "between the Seventh and Eighth Wranglers". Having gained the highest mark, Fawcett was declared to have finished "above the Senior Wrangler". The other was the mathematics professor
George Pólya George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamenta ...
. As he had contributed to reforming the Tripos with the aim that an excellent performance would be less dependent on solving hard problems and more so on showing a broad mathematical understanding and knowledge, G.H. Hardy asked Pólya to sit the examinations himself, unofficially, during his stay in England in 1924–5. Pólya did so, and to Hardy's surprise, received the highest mark, an achievement which, had he been a student, would have made him the Senior Wrangler.


Derived uses of the term

Senior Wrangler's Walk is a path in Cambridge, the walk to and along which was considered to be sufficient constitutional exercise for a student aspiring to become the Senior Wrangler. The route was shorter than other walks, such as Wranglers' Walk and the
Grantchester Grantchester is a village and civil parish on the River Cam or Granta in South Cambridgeshire, England. It lies about south of Cambridge. Name The village of Grantchester is listed in the 1086 Domesday Book as ''Grantesete'' and ''Graunts ...
Grind, undertaken by undergraduates whose aspirations were lower. Senior Wrangler sauce is a Cambridge term for brandy butter, a type of
hard sauce Hard sauce is a sweet, rich dessert sauce made by creaming or beating butter and sugar with rum (rum butter), brandy (brandy butter), whiskey, sherry (sherry butter), vanilla or other flavourings. It is served cold, often with hot desserts. It ...
made from
brandy Brandy is a liquor produced by distilling wine. Brandy generally contains 35–60% alcohol by volume (70–120 US proof) and is typically consumed as an after-dinner digestif. Some brandies are aged in wooden casks. Others are coloured with ...
,
butter Butter is a dairy product made from the fat and protein components of churned cream. It is a semi-solid emulsion at room temperature, consisting of approximately 80% butterfat. It is used at room temperature as a spread, melted as a condim ...
, and
sugar Sugar is the generic name for sweet-tasting, soluble carbohydrates, many of which are used in food. Simple sugars, also called monosaccharides, include glucose, fructose, and galactose. Compound sugars, also called disaccharides or do ...
, traditionally served in
Britain Britain most often refers to: * The United Kingdom, a sovereign state in Europe comprising the island of Great Britain, the north-eastern part of the island of Ireland and many smaller islands * Great Britain, the largest island in the United King ...
with
Christmas pudding Christmas pudding is sweet dried-fruit pudding traditionally served as part of Christmas dinner in Britain and other countries to which the tradition has been exported. It has its origins in medieval England, with early recipes making use of ...
and warm
mince pie A mince pie (also mincemeat pie in the United States, and fruit mince pie in Australia and New Zealand) is a sweet pie of English origin filled with mincemeat, being a mixture of fruit, spices and suet. The pies are traditionally served durin ...
s. Senior Wrangler is also the name of a
solitaire Solitaire is any tabletop game which one can play by oneself, usually with cards, but also with dominoes. The term "solitaire" is also used for single-player games of concentration and skill using a set layout tiles, pegs or stones. These game ...
card game A card game is any game using playing cards as the primary device with which the game is played, be they traditional or game-specific. Countless card games exist, including families of related games (such as poker). A small number of card ga ...
, alternatively known as Mathematics and Double Calculation, played with two decks of cards and involving elementary
modular arithmetic In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his boo ...
.


Literary references

Fictional Senior Wranglers appearing in
novel A novel is a relatively long work of narrative fiction, typically written in prose and published as a book. The present English word for a long work of prose fiction derives from the for "new", "news", or "short story of something new", itself ...
s include Roger Hamley, a character in
Elizabeth Gaskell Elizabeth Cleghorn Gaskell (''née'' Stevenson; 29 September 1810 – 12 November 1865), often referred to as Mrs Gaskell, was an English novelist, biographer and short story writer. Her novels offer a detailed portrait of the lives of many st ...
's ''Wives and Daughters'', and Tom Jericho, the cryptanalyst in Robert Harris's novel ''
Enigma Enigma may refer to: *Riddle, someone or something that is mysterious or puzzling Biology *ENIGMA, a class of gene in the LIM domain Computing and technology * Enigma (company), a New York-based data-technology startup * Enigma machine, a family ...
'', who is described as having been Senior Wrangler in 1938. In
Catherine Hall Catherine Hall (born 1946) is a British academic. She is Emerita Professor of Modern British Social and Cultural History at University College London and chair of its digital scholarship project, the Centre for the Study of the Legacies of Briti ...
's ''The Proof of Love'', Victor Turner is listed as having been Senior Wrangler in 1968. In
George Bernard Shaw George Bernard Shaw (26 July 1856 – 2 November 1950), known at his insistence simply as Bernard Shaw, was an Irish playwright, critic, polemicist and political activist. His influence on Western theatre, culture and politics extended from ...
's play ''
Mrs. Warren's Profession ''Mrs. Warren's Profession'' is a play written by George Bernard Shaw in 1893, and first performed in London in 1902. The play is about a former prostitute, now a madam ( brothel proprietor), who attempts to come to terms with her disapproving ...
'', the title character's daughter Vivie is praised for "tieing with the third wrangler," and she comments that "the mathematical tripos" means "grind, grind, grind for six to eight hours a day at mathematics, and nothing but mathematics." In
Ford Madox Ford Ford Madox Ford (né Joseph Leopold Ford Hermann Madox Hueffer ( ); 17 December 1873 – 26 June 1939) was an English novelist, poet, critic and editor whose journals '' The English Review'' and ''The Transatlantic Review'' were instrumental in ...
's ''
Parade's End ''Parade's End'' is a tetralogy of novels by the British novelist and poet Ford Madox Ford, written from 1924 to 1928. The novels chronicle the life of a member of the English gentry before, during and after World War I. The setting is mainly ...
'', the character Christopher Tietjens is described as having settled deliberately for only being Second Wrangler, in order to avoid the weight of expectation that the title would create. In his
Discworld ''Discworld'' is a comic fantasy"Humorous Fantasy" in David Pringle, ed., ''The Ultimate Encyclopedia of Fantasy'' (pp.31-33). London, Carlton,2006. book series written by the English author Terry Pratchett, set on the Discworld, a flat ...
series of
novel A novel is a relatively long work of narrative fiction, typically written in prose and published as a book. The present English word for a long work of prose fiction derives from the for "new", "news", or "short story of something new", itself ...
s,
Terry Pratchett Sir Terence David John Pratchett (28 April 1948 – 12 March 2015) was an English humourist, satirist, and author of fantasy novels, especially comical works. He is best known for his '' Discworld'' series of 41 novels. Pratchett's first no ...
has a character called the Senior Wrangler, a
faculty Faculty may refer to: * Faculty (academic staff), the academic staff of a university (North American usage) * Faculty (division) A faculty is a division within a university or college comprising one subject area or a group of related subject ...
member at the
Unseen University The Unseen University (UU) is a school of wizardry in Terry Pratchett's ''Discworld'' series of Fantasy literature, fantasy novels. Located in the fictional city of Ankh-Morpork, the UU is staffed by a faculty composed of mostly indolent and ine ...
, whose first name is Horace. The compiler of
crossword A crossword is a word puzzle that usually takes the form of a square or a rectangular grid of white- and black-shaded squares. The goal is to fill the white squares with letters, forming words or phrases, by solving clues which lead to th ...
s for ''The Leader'' in the 1930s used 'Senior Wrangler' as a
pseudonym A pseudonym (; ) or alias () is a fictitious name that a person or group assumes for a particular purpose, which differs from their original or true name ( orthonym). This also differs from a new name that entirely or legally replaces an individu ...
.


Coaches

The two most successful 19th-century coaches of Senior Wranglers were
William Hopkins William Hopkins FRS (2 February 179313 October 1866) was an English mathematician and geologist. He is famous as a private tutor of aspiring undergraduate Cambridge mathematicians, earning him the ''sobriquet'' the " senior-wrangler maker." ...
and
Edward Routh Edward John Routh (; 20 January 18317 June 1907), was an English mathematician, noted as the outstanding coach of students preparing for the Mathematical Tripos examination of the University of Cambridge in its heyday in the middle of the ninet ...
. Hopkins, the 'Senior Wrangler Maker', who himself was the 7th Wrangler, coached 17 Senior Wranglers. Routh, who had himself been the Senior Wrangler, coached 27. Another, described by his student (and Senior Wrangler)
J.E. Littlewood John Edensor Littlewood (9 June 1885 – 6 September 1977) was a British mathematician. He worked on topics relating to analysis, number theory, and differential equations, and had lengthy collaborations with G. H. Hardy, Srinivasa Ramanu ...
as "the last of the great coaches", was another Senior Wrangler, Robert Alfred Herman.


Senior Wranglers and runners up, 1748–1909

During 1748–1909, the top two colleges in terms of number of Senior Wranglers were
Trinity The Christian doctrine of the Trinity (, from 'threefold') is the central dogma concerning the nature of God in most Christian churches, which defines one God existing in three coequal, coeternal, consubstantial divine persons: God th ...
and St John's with 56 and 54 respectively. Gonville and Caius was third with 13.


Senior Wranglers since 1910

Senior Wranglers since 1910 also include: * David Hobson (Christ's College) (1940s) *
Peter Swinnerton-Dyer Sir Henry Peter Francis Swinnerton-Dyer, 16th Baronet, (2 August 1927 – 26 December 2018) was an English mathematician specialising in number theory at the University of Cambridge. As a mathematician he was best known for his part in the ...
(Trinity College) (1940s) * Jack Leeming (St John's College) * Michael Hall (Trinity College) (1950s)


See also

*
Wooden spoon (award) A wooden spoon is an award that is given to an individual or team that has come last in a competition. Examples range from the academic to sporting and more frivolous events. The term is of British origin and has spread to other English-speaking ...


Notes


References


Bibliography

* * * * * {{DEFAULTSORT:Wranglers Of The University of Cambridge History of the University of Cambridge Lists of people associated with the University of Cambridge Lists of mathematicians by award * *