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He was born to [[Swedish nobility]]. His grandfather, [[Nils Samuel von Koch]] (1801–1881), was the [[Attorney-General]] of [[Sweden]]. His father, [[Richert Vogt von Koch]] (1838–1913) was a [[Lieutenant-Colonel]] in the [[Royal Horse Guards (Sweden)|Royal Horse Guards]] of Sweden. He was enrolled at the newly created [[Stockholm University College]] in 1887 (studying under [[Gösta Mittag-Leffler]]), and at [[Uppsala University]] in 1888, where he also received his bachelor's degree (''filosofie kandidat'') since the non-governmental college in [[Stockholm]] had not yet received the rights to issue degrees. He received his Ph.D. in Uppsala in 1892. He was appointed professor of mathematics at the [[Royal Institute of Technology]] in Stockholm in 1905, succeeding [[Ivar Bendixson]], and became professor of pure mathematics at Stockholm University College in 1911.
He was born to [[Swedish nobility]]. His grandfather, [[Nils Samuel von Koch]] (1801–1881), was the [[Attorney-General]] of [[Sweden]]. His father, [[Richert Vogt von Koch]] (1838–1913) was a [[Lieutenant-Colonel]] in the [[Royal Horse Guards (Sweden)|Royal Horse Guards]] of Sweden. He was enrolled at the newly created [[Stockholm University College]] in 1887 (studying under [[Gösta Mittag-Leffler]]), and at [[Uppsala University]] in 1888, where he also received his bachelor's degree (''filosofie kandidat'') since the non-governmental college in [[Stockholm]] had not yet received the rights to issue degrees. He received his Ph.D. in Uppsala in 1892. He was appointed professor of mathematics at the [[Royal Institute of Technology]] in Stockholm in 1905, succeeding [[Ivar Bendixson]], and became professor of pure mathematics at Stockholm University College in 1911.


Von Koch wrote several papers on [[number theory]]. One of his results was a 1901 theorem proving that the [[Riemann hypothesis]] implies what is now known to be the strongest possible form of the [[prime number theorem]].<ref>{{citation|first=Niels Helge|last=von Koch|authorlink=Helge von Koch|doi=10.1007/BF02403071|title=Sur la distribution des nombres premiers|journal=[[Acta Mathematica]]|volume=24|year=1901|pages= 159–182}}</ref>
Von Koch wrote several papers on [[number theory]]. One of his results was a 1901 theorem proving that the [[Riemann hypothesis]] implies what is now known to be the strongest possible form of the [[prime number theorem]].<ref>{{citation|first=Niels Helge|last=von Koch|authorlink=Helge von Koch|doi=10.1007/BF02403071|title=Sur la distribution des nombres premiers|journal=[[Acta Mathematica]]|volume=24|year=1901|pages= 159–182|s2cid=119914826|url=https://zenodo.org/record/2347595}}</ref>


He described the [[Koch snowflake|Koch curve]] in a 1904 paper entitled "On a continuous curve without tangents constructible from elementary geometry" (''original French title: "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire"'').<ref>{{cite journal|url=https://babel.hathitrust.org/cgi/pt?id=inu.30000100114564;view=1up;seq=673|last=von Koch |first=Helge|title=Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire|journal=[[Arkiv för Matematik]]|volume=1|year=1904|pages=681–704 |language=fr |jfm=35.0387.02 }}</ref>
He described the [[Koch snowflake|Koch curve]] in a 1904 paper entitled "On a continuous curve without tangents constructible from elementary geometry" (''original French title: "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire"'').<ref>{{cite journal|url=https://babel.hathitrust.org/cgi/pt?id=inu.30000100114564;view=1up;seq=673|last=von Koch |first=Helge|title=Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire|journal=[[Arkiv för Matematik]]|volume=1|year=1904|pages=681–704 |language=fr |jfm=35.0387.02 }}</ref>

Revision as of 07:34, 31 August 2020

Helge von Koch
Niels Fabian Helge von Koch
Born(1870-01-25)25 January 1870
Stockholm, Sweden
Died11 March 1924(1924-03-11) (aged 54)
Danderyd Municipality, Sweden
NationalitySwedish
Alma materStockholm University College, Uppsala University
Known forKoch snowflake
Scientific career
FieldsMathematician
InstitutionsRoyal Institute of Technology, Stockholm University College

Niels Fabian Helge von Koch (25 January 1870 – 11 March 1924) was a Swedish mathematician who gave his name to the famous fractal known as the Koch snowflake, one of the earliest fractal curves to be described.

He was born to Swedish nobility. His grandfather, Nils Samuel von Koch (1801–1881), was the Attorney-General of Sweden. His father, Richert Vogt von Koch (1838–1913) was a Lieutenant-Colonel in the Royal Horse Guards of Sweden. He was enrolled at the newly created Stockholm University College in 1887 (studying under Gösta Mittag-Leffler), and at Uppsala University in 1888, where he also received his bachelor's degree (filosofie kandidat) since the non-governmental college in Stockholm had not yet received the rights to issue degrees. He received his Ph.D. in Uppsala in 1892. He was appointed professor of mathematics at the Royal Institute of Technology in Stockholm in 1905, succeeding Ivar Bendixson, and became professor of pure mathematics at Stockholm University College in 1911.

Von Koch wrote several papers on number theory. One of his results was a 1901 theorem proving that the Riemann hypothesis implies what is now known to be the strongest possible form of the prime number theorem.[1]

He described the Koch curve in a 1904 paper entitled "On a continuous curve without tangents constructible from elementary geometry" (original French title: "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire").[2]

He was an Invited Speaker of the International Congress of Mathematicians in 1900 in Paris with talk Sur la distribution des nombres premiers[3] and in 1912 in Cambridge, England with talk On regular and irregular solutions of some infinite systems of linear equations.[4]

Notes

  1. ^ von Koch, Niels Helge (1901), "Sur la distribution des nombres premiers", Acta Mathematica, 24: 159–182, doi:10.1007/BF02403071, S2CID 119914826
  2. ^ von Koch, Helge (1904). "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire". Arkiv för Matematik (in French). 1: 681–704. JFM 35.0387.02.
  3. ^ "Sur la distribution des nombres premiers". Congrès Int. Math., Paris 1900. 1902. pp. 195–8. JFM 32.0205.01.
  4. ^ "On regular and irregular solutions of some infinite systems of linear equations". Proc. 5. Intern. Math. Congr. Vol. 1. 1913. pp. 352–365. JFM 44.0402.01.

References

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