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Harald Bohr

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Harald Bohr
Harald Bohr
Born
Harald August Bohr

(1887-04-22)22 April 1887[1]
Copenhagen,Denmark[1]
Died22 January 1951(1951-01-22)(aged 63)
Gentofte,Denmark
Resting placeAssistens Cemetery,Copenhagen
NationalityDanish
Alma materUniversity of Copenhagen
OccupationMathematician
Parent(s)Christianand Ellen Bohr[1]
RelativesNiels Bohr(brother)
Association football career
Position(s) Defender
Youth career
0000–1904 Akademisk Boldklub
Senior career*
Years Team Apps (Gls)
1904–1910 Akademisk Boldklub
International career
1908–1910 Denmark 4 (2)
Medal record
Olympic medal record
RepresentingDenmark
Men'sfootball
Silver medal – second place 1908 London Team Competition
*Club domestic league appearances and goals

Harald August Bohr(22 April 1887 – 22 January 1951) was aDanishmathematicianandfootballer.After receiving his doctorate in 1910, Bohr became an eminent mathematician, founding the field ofalmost periodic functions.His brother was theNobel Prize-winning physicistNiels Bohr.He was on theDenmark national teamfor the1908 Summer Olympics,where he won a silver medal.[2]

Biography

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Bohr was born in 1887 toChristian Bohr,a professor of physiology, from a Lutheran background, and Ellen Adler Bohr, a woman from a wealthy Jewish family of local renown.[3]Harald had a close relationship with his elder brother, whichThe Timeslikened to that between Captain Cuttle and Captain Bunsby inCharles Dickens'Dombey and Son.[4]

Mathematical career

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Like his father and brother before him, in 1904 Bohr enrolled at theUniversity of Copenhagen,where he studied mathematics, obtaining his master's degree in 1909 and his doctorate a year later. Among his tutors wereHieronymus Georg ZeuthenandThorvald N. Thiele.[5]Bohr worked in mathematical analysis; much of his early work was devoted toDirichlet seriesincluding his doctorate, which was entitledBidrag til de Dirichletske Rækkers Theori(Contributions to the Theory of Dirichlet Series).[6]A collaboration withGöttingen-basedEdmund Landauresulted in theBohr–Landau theorem,regarding the distribution of zeroes inzeta functions.[3]

Bohr worked inmathematical analysis,founding the field ofalmost periodic functions,and worked with theCambridgemathematicianG. H. Hardy.

In 1915, he became a professor atPolyteknisk Læreanstalt(todayTechnical University of Denmark), working there until 1930, when he took a professorship at the University of Copenhagen. He remained in this post for 21 years until his death in 1951.Børge Jessenwas one of his students there.

He was a visiting professor atStanford Universityduring the academic year 1930–1931.[7]He was a visiting scholar at theInstitute for Advanced Studyin the summer of 1948.[8]

Bohr was elected to theAmerican Philosophical Societyin 1945.[9]

In the 1930s Bohr was a leading critic of the anti-Semitic policies taking root in the German mathematical establishment, publishing an article criticisingLudwig Bieberbach's ideas inBerlingske Aftenin 1934.[10]

Football

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Danish football team at the1908 Olympic games.Bohr is in the top row, 2nd from left.

Bohr was also an excellent football player. He had a long playing career withAkademisk Boldklub,making his debut as a 16-year-old in 1903.[11]During the 1905 season he played alongside his brotherNiels,who was a goalkeeper. Harald was selected to play for theDenmark national teamin the1908 Summer Olympics,where football was an official event for the first time. Though a Danish side had played at the1906 Intercalated Games,the opening match of the 1908 Olympic tournament was Denmark's first official international football match. Bohr scored two goals as Denmark beat the French "B" team 9–0.[12]In the next match, the semi-final, Bohr played in a 17–1 win againstFrance,which remains an Olympic record.[13]Denmark faced hostsGreat Britainin the final, but lost 2–0, and Bohr won a silver medal.[3][6]After the Olympics he made one further appearance for the national team, in a 2–1 victory against an England amateur team in 1910.[14]His popularity as a footballer was such that when he defended his doctoral thesis the audience was reported as having more football fans than mathematicians.[15]

Teacher

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Bohr was known as an extremely capable academic teacher and the annual award for outstanding teaching at theUniversity of Copenhagenis called the Harald, in honour of Harald Bohr. WithJohannes Mollerup,Bohr wrote an influential four-volume textbookLærebog i Matematisk Analyse(Textbook in mathematical analysis).[16]

Kaj Munk

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Following the murder ofKaj Munkon 4 January 1944 the Danish resistance newspaperDe frie Danskebrought condemning reactions from influential Scandinavians, including Bohr.[17]

See also

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References

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  1. ^abcPolitiets Registerblade[Register cards of the Police] (in Danish). Copenhagen: Københavns Stadsarkiv. 7 June 1892. Station Dødeblade (indeholder afdøde i perioden). Filmrulle 0002. Registerblad 3341. ID 3308989.
  2. ^"Harald Bohr".Olympedia.Retrieved26 March2021.
  3. ^abcJ J O'Connor and E F Robertson."Harald August Bohr".Retrieved17 August2008.
  4. ^"Obituary: Prof. Harald Bohr".The Times.6 February 1951. p. 8 – via Times Digital Archive 1785–1985.
  5. ^Bochner, Salomon(January 1952)."Harald Bohr".Bulletin of the American Mathematical Society.58(1): 72–75.doi:10.1090/S0002-9904-1952-09551-3.Retrieved21 December2008.
  6. ^ab H. P. Boas (1997). "The Football Player and the Infinite Series".arXiv:math.CV/9705204.
  7. ^Putnam, T. M. (1931)."The November meeting in Los Angeles".Bull. Amer. Math. Soc.37:3–5.doi:10.1090/S0002-9904-1931-05068-0.
  8. ^"Scholars".Institute for Advanced Study.14 August 2015.
  9. ^"APS Member History".search.amphilsoc.org.Retrieved31 March2023.
  10. ^Menzler-Trott, Eckart (2008).Logic's Lost Genius: The Life of Gerhard Gentzen.AMS. p. 115.ISBN978-0-8218-3550-0.
  11. ^Akademisk Boldklub."AB's historie".Archived fromthe originalon 10 December 2008.Retrieved18 August2008.
  12. ^"Harald Bohr".Sports-Reference.com. Archived fromthe originalon 18 April 2020.Retrieved18 August2008.
  13. ^"Facts and figures – Team achievements / records".Beijing Olympics 2008 official website. Archived fromthe originalon 5 September 2008.Retrieved18 August2008.
  14. ^"Denmark – Internationals 1908–1912".Rec.Sport.Soccer Statistics Foundation.Retrieved18 August2008.
  15. ^"Mathematical Moments – Harald Bohr".Plus magazine. 23 January 2007. Archived fromthe originalon 17 May 2008.Retrieved20 August2008.
  16. ^"Bibliography of Harald Bohr".University of Copenhagen. Archived fromthe originalon 28 July 2009.Retrieved20 August2008.
  17. ^"KAJ MUNK IN MEMORIAM".De frie Danske(in Danish). January 1944. p. 6.Retrieved18 November2014.Meddelelsen om denne nye Voldsdaad i Danmark, Mordet paa en af vore største Digtere og modigste Personligheder, har opfyldt os alle med Afsky og Forfærdelse, og vi forstaar, at Kaj Munks Anseelse og den Beundring man nærede for ham her i Sverige, var saa stor, at vore Følelser deles af det svenske Folk
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