Senior Wrangler (University of Cambridge)

The Senior Wrangler, achiever of "academic supremacy", is admitted to his degree, 1842
In accordance with tradition, results of the Mathematical Tripos are thrown from the Senate House balcony, 2005

The Senior Wrangler is the top mathematics undergraduate at Cambridge University in England, a position which has been described as "the greatest intellectual achievement attainable in Britain."[1]

Specifically, it is the person who achieves the highest overall mark among the Wranglers – the students at Cambridge who gain first-class degrees in mathematics. The Cambridge undergraduate mathematics course, or Mathematical Tripos, is famously difficult.

Many Senior Wranglers have become world-leading figures in mathematics, physics, and other fields. They include George Airy, John Herschel, Arthur Cayley, James Inman, George Stokes, Isaac Todhunter, Morris Pell, Lord Rayleigh, Arthur Eddington, J. E. Littlewood, Jayant Narlikar, Frank Ramsey, Donald Coxeter, Jacob Bronowski, Lee Hsien Loong, Kevin Buzzard, Christopher Budd, Ben Green, and John Polkinghorne.

Senior Wranglers were once fêted with torchlit processions and took pride of place in the University's graduation ceremony.[2] Years in Cambridge were often remembered by who had been Senior Wrangler that year.[1]

The annual ceremony in which the Senior Wrangler becomes known was first held in the 18th century. Standing on the balcony of the University's Senate House, the examiner reads out the class results for mathematics,[3] 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

The difficulty of the examinations is illustrated by the identities of some of those who have performed well, but less well than the Senior Wrangler.

Those who have achieved second place, known as Second Wranglers, include Alfred Marshall, James Clerk Maxwell, J. J. Thomson, Lord Kelvin, William Clifford, and William Whewell.

Those who have finished between third and 12th include Karl Pearson and William Henry Bragg (third), George Green and G. H. Hardy (fourth), Adam Sedgwick (fifth), John Venn (sixth), Bertrand Russell and Nevil Maskelyne (seventh), Thomas Malthus (ninth), and John Maynard Keynes (12th).

History

Between 1748 and 1909, the University publicly announced the ranking,[4] which was then reported in newspapers such as The 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".[5]

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.[6] The previous youngest was probably James Wilkinson in 1939, aged 19 years and 9 months.[7] The youngest up to 1909 were Alfred Flux in 1887, aged 20 years and 2 months[8] and Peter Tait in 1852, aged 20 years and 8 months.[9]

Two individuals have placed first without becoming known as Senior Wrangler. One was the student Philippa Fawcett 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. 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.[10]

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 Grind, undertaken by undergraduates whose aspirations were lower.[11]

Senior Wrangler sauce is a Cambridge term for brandy butter, a type of hard sauce made from brandy, butter, and sugar, traditionally served in Britain with Christmas pudding and warm mince pies.[12]

Senior Wrangler is also the name of a solitaire card game, alternatively known as Mathematics and Double Calculation, played with two decks of cards and involving elementary modular arithmetic.[13][14]

Literary references

Fictional Senior Wranglers appearing in novels include Roger Hamley, a character in Elizabeth Gaskell's Wives and Daughters, and Tom Jericho, the cryptanalyst in Robert Harris's novel Enigma, who is described as having been Senior Wrangler in 1938.

In George Bernard Shaw's play Mrs. Warren's Profession, 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's Parade's End, 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 series of novels, Terry Pratchett has a character called the Senior Wrangler, a faculty member at the Unseen University, whose first name is Horace.

The compiler of crosswords for The Leader in the 1930s used 'Senior Wrangler' as a pseudonym.[15]

Coaches

The two most successful 19th-century coaches of Senior Wranglers were William Hopkins and Edward Routh. 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.[16] Another, described by his student (and Senior Wrangler) J.E. Littlewood as “the last of the great coaches”, was another Senior Wrangler, Robert Alfred Herman.[17]

Senior Wranglers and runners up, 1748–1909

During 1748–1909, the top two colleges in terms of number of Senior Wranglers were Trinity and St John's with 56 and 54 respectively. Gonville and Caius was third with 13.

William Paley, Senior Wrangler, 1763.
Sir Frederick Pollock, 1st Baronet, Senior Wrangler, 1806.
John Herschel, Senior Wrangler, 1813.
George Biddell Airy, Senior Wrangler, 1823.
George Gabriel Stokes, Senior Wrangler, 1841.
Arthur Cayley, Senior Wrangler, 1842.
John Couch Adams, Senior Wrangler, 1843.
Isaac Todhunter, Senior Wrangler, 1848.
Peter Guthrie Tait, who at 20 years 8 months in 1852 was younger than all previous Senior Wranglers.
Edward Routh, Senior Wrangler in 1854 and coach to many subsequent Senior Wranglers.
John Strutt, 3rd Baron Rayleigh, Senior Wrangler, 1865.
Donald MacAlister, Senior Wrangler, 1877. The postcard portrait is a sign of the fame associated with the position of Senior Wrangler.
Philippa Fawcett, ranked "above the Senior Wrangler" in 1890.
Thomas John I'Anson Bromwich, Senior Wrangler, 1895.
Arthur Eddington, Senior Wrangler, 1904
Peter Swinnerton-Dyer, Senior Wrangler in the 1940s
Michael Edward Ash, Senior Wrangler, 1948
Jayant Narlikar, Senior Wrangler, 1959
Lee Hsien Loong, Senior Wrangler, 1973
Kevin Buzzard, Senior Wrangler, 1990
Ben Joseph Green, Senior Wrangler, 1998
YearSenior Wrangler(s)[18][note 1]CollegeProxime AccessitCollege
1748John BatesGonville and CaiusJohn CranwellSidney Sussex
1749John GreeneCorpus ChristiFrancis CoventryMagdalene
1750William HazelandSt John'sJohn GoochGonville and Caius
1751John HewthwaiteChrist'sWilliam CardalePembroke
1752Henry BestMagdaleneJohn CayClare
1753William DisneyTrinityWilliam PrestonTrinity
1754William AbbotSt John'sSamuel HallifaxJesus
1755Thomas CastleyJesusJohn HatsellQueens'
1756John WebsterCorpus ChristiWilliam BearcroftPeterhouse
1757Edward WaringMagdaleneJohn JebbPeterhouse
1758Robert ThorpPeterhouseGeorge WollastonSidney Sussex
1759Joshua MasseySt John'sRichard WatsonTrinity
1760George CrossClareAnthony HamiltonCorpus Christi
1761John WilsonPeterhouseTimothy LowtenSt John's
1762Richard HaightonChrist'sJeremiah PembertonPembroke
1763William PaleyChrist'sJohn FrereGonville and Caius
1764Luke HeslopCorpus ChristiJohn Fairfax FrancklinEmmanuel
1765 John WhiteGonville and CaiusJohn Clement IvesGonville and Caius
1766William ArnaldSt John'sJohn LawChrist's
1767Joseph TurnerPembrokeGeorge DutensQueens'
1768Thomas KiplingSt John'sGeorge FieldingTrinity
1769Thomas ParkinsonChrist'sWilliam BurslemSt John's
1770Lewis HughesSt John'sWilliam SmithSt John's
1771Thomas StarkieSt John'sRoger KedingtonGonville and Caius
1772George Pretyman TomlinePembrokeMark Anthony StephensonClare
1773John Jelland BrundishGonville and CaiusGeorge WhitmoreSt John's
1774Isaac MilnerQueens'George MounseyPeterhouse
1775Samuel VinceGonville and CaiusHenry William CoulthurstSt John's
1776John OldershawEmmanuelGilbert WakefieldJesus
1777David OwenTrinityThomas CautleyTrinity
1778William FarishMagdaleneWilliam TaylorEmmanuel
1779Thomas JonesTrinityHerbert Marsh[note 2]St John's
1780St John PriestPembrokeWilliam FrendChrist's
1781Henry AinsliePembrokeMontague Farrer Ainslie & George Henry LawTrinity & Queens'
1782James WoodSt John'sJohn HailstoneTrinity
1783Francis John Hyde WollastonSidney SussexRichard BuckMagdalene
1784Robert Acklom IngramQueens'John HoldenSidney Sussex
1785William LaxTrinityJohn DudleyClare
1786John BellTrinityEdward OtterJesus
1787Joseph LittledaleSt John'sAlgernon FramptonSt John's
1788John BrinkleyGonville and CaiusEdmund OutramSt John's
1789William MillersSt John'sJoseph BewsherTrinity
1790Bewick BridgePeterhouseFletcher RaincockPembroke
1791Daniel Mitford PeacockTrinityWilliam GoochGonville and Caius
1792John PalmerSt John'sGeorge Frederick TavelTrinity
1793Thomas HarrisonQueens'Thomas StricklandTrinity
1794George ButlerSidney SussexJohn Singleton CopleyTrinity
1795Robert WoodhouseGonville and CaiusWilliam AtthillGonville and Caius
1796John KempthorneSt John'sWilliam DealtryTrinity
1797John HudsonTrinityJohn LowthianTrinity
1798Thomas SowerbyTrinityRobert MartinTrinity
1799William Fuller BotelerSt John'sJohn BrownTrinity
1800James InmanSt John'sGeorge D'OylyCorpus Christi
1801Henry MartynSt John'sWilliam WoodallPembroke
1802Thomas Penny WhiteQueens'John GrisdaleChrist's
1803Thomas StarkieSt John'sCharles James HoareSt John's
1804John KayeChrist'sWilliam Albin Garratt[19]Trinity
1805Thomas TurtonSt Catharine'sSamuel Hunter ChristieTrinity
1806Frederick PollockTrinityHenry WalterSt John's
1807Henry GippsSt John'sJohn CarrTrinity
1808Henry BickerstethGonville and CaiusMiles BlandSt John's
1809Edward Hall AldersonGonville and CaiusJohn StandlyGonville and Caius
1810William Henry MauleTrinityThomas Shaw BrandrethTrinity
1811Thomas Edward DiceyTrinityWilliam FrenchCaius
1812Cornelius NealeSt John'sJoseph William JordanTrinity
1813John HerschelSt John'sGeorge PeacockTrinity
1814Richard GwatkinSt John'sHenry WilkinsonSt John's
1815Charles George Frederick LeicesterTrinityFrederick CalvertJesus
1816Edward JacobGonville and CaiusWilliam WhewellTrinity
1817John Thomas AustenSt John'sTemple ChevallierPembroke
1818John George Shaw-LefevreTrinityJohn HindSt John's
1819Joshua KingQueens'George Miles CooperSt John's
1820Henry CoddingtonTrinityWatkin MaddySt John's
1821Solomon AtkinsonTrinityHenry MelvillSt John's
1822Hamnett HolditchGonville and CaiusMitford PeacockCorpus Christi
1823George Biddell AiryTrinityCharles JeffreysSt John's
1824[20]John CowlingSt John'sJames BowsteadCorpus Christi
1825James ChallisTrinityWilliam WilliamsonClare
1826William LawTrinityJohn Hymers[21]St John's
1827Henry Percy GordonPeterhouseThomas TurnerTrinity
1828Charles PerryTrinityJohn BailySt John's
1829Henry PhilpottSt Catharine'sWilliam CavendishTrinity
1830Charles Thomas WhitleySt John'sJames William Lucas HeavisideSidney Sussex
1831Samuel EarnshawSt John'sThomas GaskinSt John's
1832Douglas Denon HeathTrinitySamuel LaingSt John's
1833Alexander ElliceGonville and CaiusJoseph BowsteadPembroke
1834Philip KellandQueens'Thomas Rawson BirksTrinity
1835Henry CotterillSt John'sHenry Goulburn[note 3]Trinity
1836Archibald SmithTrinityJohn William ColensoSt John's
1837William Nathaniel GriffinSt John'sJames Joseph SylvesterSt John's
1838Thomas John MainSt John'sJames George MouldCorpus Christi
1839Benjamin Morgan CowieSt John'sPercival FrostSt John's
1840Robert Leslie EllisTrinityHarvey GoodwinCaius
1841George Gabriel StokesPembrokeHenry Cadman JonesTrinity
1842Arthur CayleyTrinityCharles Turner SimpsonSt John's
1843John Couch AdamsSt John'sFrancis BashforthSt John's
1844George Wirgman HemmingSt John'sWilliam Bonner HopkinsGonville and Caius
1845Stephen ParkinsonSt John'sWilliam Thomson (later known as Lord Kelvin)[note 4]Peterhouse
1846Lewis HensleyTrinityJohn Alfred Airey (or Lumb)Pembroke
1847William Parkinson WilsonSt John'sRobert WalkerTrinity
1848Isaac TodhunterSt John'sCharles MackenzieGonville and Caius
1849Morris Birkbeck PellSt John'sHenry Carlyon PhearGonville and Caius
1850William Henry BesantCorpus ChristiHenry William WatsonTrinity
1851Norman Macleod FerrersGonville and CaiusWilliam Charles EvansSt John's
1852Peter Guthrie TaitPeterhouseWilliam John SteelePeterhouse
1853Thomas Bond SpragueSt John'sRobert Braithwaite BattyEmmanuel
1854Edward Routh[note 5]PeterhouseJames Clerk MaxwellPeterhouse & Trinity
1855James SavageSt John'sLeonard CourtneySt John's
1856Augustus Vaughton HadleySt John'sJohn RigbyTrinity
1857Gerard Brown FinchQueens'Thomas SavagePembroke
1858George Middleton SlesserQueens'Charles Abercrombie SmithPeterhouse
1859James WilsonSt John'sFrederick Brown & Anthony William Wilson SteelTrinity & Gonville and Caius
1860James StirlingTrinityWalter BailySt John's
1861William Steadman AldisTrinityJohn BondMagdalene
1862Thomas BarkerTrinityJohn George LaingSt John's
1863Robert RomerTrinity HallEdward Tucker LeekeTrinity
1864Henry John PurkissTrinityWilliam Peverill TurnbullTrinity
1865John StruttTrinityAlfred MarshallSt John's
1866Robert MortonPeterhouseThomas Steadman AldisTrinity
1867Charles NivenTrinityWilliam Kingdon CliffordTrinity
1868John Fletcher MoultonSt John'sGeorge DarwinTrinity
1869Numa Edward Hartog[note 6]TrinityJohn EliotSt John's
1870Richard PendleburySt John'sAlfred George GreenhillSt John's
1871John HopkinsonTrinityJames Whitbread Lee GlaisherTrinity
1872Robert Rumsey WebbSt John'sHorace LambTrinity
1873Thomas Oliver HardingTrinityEdward John NansonTrinity
1874George Constantine CalliphronasGonville and CaiusW. W. Rouse BallTrinity
1875John William LordTrinityWilliam Burnside & George ChrystalPembroke & Peterhouse
1876Joseph Timmis WardSt John'sWilliam Loudon MollisonClare
1877Donald MacAlisterSt John'sFrederic Brian De Malbisse GibbonsGonville and Caius
1878E. W. HobsonChrist'sJohn Edward Aloysius SteggallTrinity
1879Andrew James Campbell AllenPeterhouseGeorge Francis WalkerQueens'
1880Joseph LarmorSt John'sJ. J. Thomson[note 4]Trinity
1881Andrew Forsyth[note 7]TrinityRobert Samuel HeathTrinity
1882[24]Robert Alfred HermanTrinityJohn Shapland YeoSt John's
1882[note 8]William WelshJesusHerbert Hall TurnerTrinity
1883George Ballard MathewsSt John'sEdward Gurner GallopTrinity
1884William Fleetwood SheppardTrinityWalter Percy WorkmanTrinity
1885Arthur BerryKing'sAugustus Edward Hough LoveSt John's
1886Alfred Cardew DixonTrinityWilliam Charles FletcherSt John's
1887H. F. Baker, Sir Alfred William Flux, John Henry Michell & John Cyril IlesSt John's, St John's, Trinity & TrinityJames Bennet PeaceEmmanuel
1888William McFadden OrrSt John'sWilliam Edwin BrunyateTrinity
1889Gilbert WalkerTrinityFrank Watson DysonTrinity
1890Geoffrey Thomas Bennett;
Philippa Fawcett placed "Above the Senior Wrangler"[note 9]
St John's
(Fawcett: Newnham)
Hugh William SegarTrinity
1891James GoodwillieCorpus ChristiDavid Beveridge Mair & Robert Hume Davison MayallChrist's & Sidney Sussex
1892Philip Herbert CowellTrinityFrancis Robert SharpeChrist's
1893George Thomas ManleyChrist'sGilbert Harrison John Hurst & Charles Percy SangerKing's & Trinity
1894Walter Sibbald Adie & William Fellows SedgwickTrinity & TrinityWilliam Edward PhilipClare
1895Thomas John I'Anson BromwichSt John'sJohn Hilton Grace & E. T. WhittakerPeterhouse & Trinity
1896William Garden FraserQueens'Ernest William Barnes, George Edward St Lawrence Carson & Algernon Charles Legge WilkinsonTrinity, Trinity & Trinity
1897William Henry AustinTrinityFrancis John Welsh WhippleTrinity
1898Ronald William Henry Turnbull HudsonSt John'sJohn Forbes Cameron & James Hopwood JeansGonville and Caius & Trinity
1899George Birtwhistle & R. P. Paranjpye[note 10]Pembroke & St John'sSamuel Bruce McLarenTrinity
1900Joseph Edmund WrightTrinityArthur Cyril Webb AldisTrinity Hall
1901Alexander BrownGonville and CaiusHerbert KnapmanEmmanuel
1902Ebenezer CunninghamSt John'sFrank SlatorSt John's
1903Harry Bateman & Philip Edward MarrackTrinity & TrinityJames Sidney Barnes, Ernest Gold, George Frederic Sowden Hills and Sidney Hill PhillipsTrinity, St John's, Trinity and St John's
1904Arthur Stanley Eddington[note 11]TrinityG. R. Blanco-WhiteTrinity
1905John Edensor Littlewood & James MercerTrinity & TrinityH. SmithTrinity Hall
1906Arunachala Tyaga Rajan & Clarence John Threlkeld SewellTrinity & TrinityW. J. HarrisonClare
1907G. N. WatsonTrinityHerbert Westren TurnbullTrinity
1908Selig Brodetsky & A. W. IbbotsonTrinity & PembrokeH. MinsonChrist's
1909Percy John DaniellTrinityE. H. NevilleTrinity

Senior Wranglers since 1910

YearSenior WranglerCollege
1914Brian Charles Molony[26]Trinity
1923Frank Ramsey[27]Trinity
1928Donald Coxeter[28]Trinity
1930Jacob Bronowski[29]Jesus
1939James Wilkinson[30]Trinity
1940Hermann Bondi[31]Trinity
1948Michael Edward Ash[32]Trinity
1952John PolkinghorneTrinity
1953Crispin Nash-Williams[33]Trinity Hall
1959Jayant Narlikar[34](non-collegiate)
1966Nigel KaltonTrinity
1970Derek Wanless[35]King's
1972Gordon Woo[36]Christ's
1973Lee Hsien Loong[37][38]Trinity
1977Glyn Moody[39][40]Trinity
1982Christopher BuddSt John's
1983John ListerTrinity
1985Nick Mee[41]Trinity
1990Kevin Buzzard[42]Trinity
1992Ruth Hendry[43][44]Queens'
1993Ian DowkerTrinity
1996 David W. Essex Trinity
1997Alexander G. BarnardTrinity
1998Ben Joseph Green[45]Trinity
1999Paul RussellPeterhouse
2000Toby Gee[46][47]Trinity
2001Mohan Ganesalingam[48]Trinity
2002Jeremy YoungTrinity
2003Thomas Barnet-Lamb[49]Trinity
2004David Loeffler[50]Trinity
2005 Tim Austin Trinity
2006 Antonio Lei Trinity
2007Paul Jefferys[51]Trinity
2008Le Hung Viet Bao[52]Trinity
2009Thomas Beck[53]Trinity Hall
2010Zihan Hans Liu[54]Trinity
2011Sean Eberhard[55]Gonville and Caius
2012Sean Moss[56]Trinity
2013Arran Fernandez[6][57]Fitzwilliam
2014Yang Li[58]Downing
2015Timothy Large[59]Trinity
2016Leo LaiChurchill
2017Jonathan ZhengTrinity
2018 Barnabas JanzerTrinity

Senior Wranglers since 1910 also include:

  • David Hobson[60] (Christ's College) (1940s)
  • Peter Swinnerton-Dyer[61] (Trinity College) (1940s)
  • Michael Hall[62] (Trinity College) (1950s)
  • Colin Myerscough[63] (Churchill College) (1960s)

See also

Notes

  1. In years where there was a tie, individuals tied have been shown as Senior Wrangler, with the next placed candidate(s) as Proxime Accessit; strictly speaking, if n individuals are tied as Senior Wrangler, any runner up is (n+1)-st Wrangler .
  2. Thomas Jones, the Senior Wrangler that year, acted as his tutor.
  3. Also senior classic.
  4. 1 2 According to legend, Kelvin was so confident he had come top that he asked his servant to run to the Senate House and check who the Second Wrangler was. The servant returned and told him, "You, sir"! Kelvin was reportedly beaten largely on the basis of Parkinson's superior exam technique. The result was reversed in the Smith Prize. This story has also been attributed to J.J. Thomson in 1880, and others.[22]
  5. Routh found more fame subsequently as a coach of other Senior Wranglers. Indeed for twenty-two consecutive years from 1862, one of his pupils was Senior Wrangler, and he coached twenty-seven in all. His first pupil in 1856 was Third Wrangler, and in 1858 both the Senior and Second Wrangler were coached by him.[23]
  6. First Jewish Senior Wrangler. A special grace was passed to allow him to be graduated using a special form of the wording in order to not offend his religious beliefs.
  7. Forsyth was one of the men who were principally responsible for the reform of the Tripos system that led to the end of the Tripos ranking.
  8. Regulations were changed to split the class list into Parts I & II, and Part III. The examinations for the former were held in June and retained the ordered class list (in contrast to Part III), so two sets of results exist for this year.
  9. Women were allowed to take the Tripos from 1881, when Charlotte Scott achieved the eighth highest mark (but was not officially ranked as eighth wrangler); but their results were published on a separate list and they were not officially ranked among the wranglers, so Fawcett was not officially Senior Wrangler despite receiving the highest mark on the tripos. Women students were finally admitted as full members of the university in 1948.
  10. First Indian Senior Wrangler.
  11. Eddington was the first person to be Senior Wrangler after only two years of study.[25]

References

  1. 1 2 Forfar, David (1996). "What became of the Senior Wranglers?". Mathematical Spectrum. 29 (1).
  2. Moore, Gregory (2005). "Masters of Theory and its Relevance to the History of Economic Thought". History of Economics Review. 42 (2): 77–99.
  3. "Peter Guthrie Tait" (PDF).
  4. Craik, A.D.D. (2007). Mr Hopkins' Men. Springer London. doi:10.1007/978-1-84628-791-6. ISBN 978-1-84628-790-9.
  5. Warwick, Andrew (2003). Masters of Theory: Cambridge and the Rise of Mathematical Physics. University Of Chicago Press. p. 205. ISBN 0-226-87375-7.
  6. 1 2 "Student, 18, youngest ever to come top in Cambridge maths finals". Daily Telegraph. 21 June 2013.
  7. Wilkinson, James H. Hammarling, Sven (2003). Encyclopedia of Computer Science. Springer London. ISBN 0-470-86412-5.
  8. "To the Editor of the Spectator". The Spectator. 24 June 1899. Retrieved 6 December 2013.
  9. Crilly, Tony (2006). Arthur Cayley: mathematician laureate of the Victorian age. Johns Hopkins University Press. p. 160. ISBN 0-8018-8011-4.
  10. Alexanderson, Gerald L. (2000). The random walks of George Pólya. Cambridge: Cambridge University Press. p. 68.
  11. Shapin, Stephen; Lawrence, Christopher, eds. (1998). Science incarnate: historical embodiments of natural knowledge. Chicago: University of Chicago Press. p. 303. ISBN 0-226-47014-8.
  12. "Brandy butter". Archived from the original on 2016-03-03. Retrieved 2011-12-09.
  13. Coops, Helen L (1939). 100 Games of Solitaire (Complete with layouts for playing). Whitman Publishing Company. p. 205.
  14. Goren, Charles Henry (1961). Goren's Hoyle Encyclopedia of Games: With Official Rules and Pointers on Play, Including the Latest Laws of Contract Bridge. Greystone Press. p. 643.
  15. "Senior Wrangler" of the Leader (1932). The Handy Crossword Companion. Odhams Press.
  16. Davis, Ted; Stuerwer, Roger; Aris, Rutherford (ed.) (1983–2005). Springs of Scientific Creativity: Essays on Founders of Modern Science. University of Minnesota Press. p. 164.
  17. Littlewood, John Edensor (1953). A Mathematician's Miscellany. Methuen Publishing. p. 70.
  18. Neale, Charles Montague (1907). The senior wranglers of the University of Cambridge, from 1748 to 1907. With biographical, & c., notes. Bury St. Edmunds: Groom and Son.
  19. It appears that '22nd wrangler' in the entry for William Albin Garratt in Venn. "Garratt, William Albin (GRT800WA)". A Cambridge Alumni Database. University of Cambridge. is a misprint for '2nd wrangler'; cf Neale, Charles Montague (1907), The Senior Wranglers of the University of Cambridge, from 1748 to 1907: With Biographical, etc., Notes (Bury St. Edmunds: F.T. Groom and Son; 61pp), p. 26; at all events, Garratt took the First Smith's Prize in 1804, with the Senior Wrangler, Kaye, placing Second, although Kaye also took the Senior Classical Medal (for reference without prejudice, at the time, other things being equal, undergraduates at Trinity were given preference for the Smith's Prizes)
  20. Classical Tripos established.
  21. Founded Hymers College.
  22. A History of Mathematics in Cambridge
  23. O'Connor, J. J.; Robertson, E. F. (October 2003). "Routh biography". Retrieved 6 July 2013.
  24. An account exists of the 1882 graduation ceremony. "University Intelligence". The Times. 30 January 1882. Retrieved 2008-09-25.
  25. Hutchinson, Ian H. (December 2002). "Astrophysics and Mysticism: the life of Arthur Stanley Eddington". Archived from the original on 2008-09-22. Retrieved 2008-09-25.
  26. "Brian Charles Molony (1892–1963)". Retrieved 6 July 2013.
  27. Krantz, Stephen; Parks, Harold (2014). A Mathematical Odyssey: Journey from the Real to the Complex. Springer. p. 64. ISBN 1461489385.
  28. "Biographical Memoirs of Fellows of the Royal Society" (PDF). Royal Society. Retrieved 6 July 2013.
  29. Bronowski's biography at the MacTutor History of Mathematics Archive: "Jacob Bronowski". University of St Andrews. Retrieved 6 July 2013.
  30. Wilkinson's biography at the MacTutor History of Mathematics Archive: "James Hardy Wilkinson". University of St Andrews. Archived from the original on 22 November 2008. Retrieved 6 July 2013.
  31. "Oral History Transcript — Dr. Hermann Bondi". American Institute of Physics. Retrieved 6 July 2013.
  32. Trinity College Cambridge,"Making Guinness Guinness – Michael Ash", The Fountain, Issue 23”
  33. "Crispin St John Alvah Nash-Williams". University of St Andrews. Retrieved 6 July 2013.
  34. Mitton, Simon (2005). Fred Hoyle: A Life in Science. Aurum. p. 275. ISBN 978-1-85410-961-3.
  35. "Profile: Banking's boy wonder: Derek Wanless – NatWest's chief has a personal touch but a pragmatic vision, says William Kay". Independent. 27 March 1994.
  36. Woo, Gordon (1999). The Mathematics of Natural Catastrophes. Imperial College Press. p. 292. ISBN 1-86094-182-6.
  37. Kuan Yew, Lee (2000). From Third World to First: The Singapore Story: 1965-2000. Harper. pp. 750–751. ISBN 978-0-06019-776-6.
  38. Neo Hui Min (12 August 2004). "Dennis Marrian, University Tutor". Straits Times. Retrieved 2 June 2013.
  39. "Seven things people didn't know about me". Retrieved 2011-01-06.
  40. "(correction by author)". Retrieved 2012-02-26.
  41. "Whirlpool numbers". Plus Magazine. Retrieved 6 July 2013.
  42. "CV of Kevin Buzzard" (PDF). Retrieved 16 September 2014.
  43. "Letter of confirmation of first place 1992 pt II mathematical tripos" (PDF). Retrieved 2015-04-06.
  44. "Where are they now? Ruth Hendry (1989): the only known female Senior Wrangler in history" (PDF). Retrieved 2016-09-09.
  45. "Mathematical biography of Ben Green" (PDF). Clay Mathematics Institute. Retrieved 2011-01-06.
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