Niels Fabian Helge von Koch | |
|---|---|
 Niels Fabian Helge von Koch | |
| Born | 25 January 1870 |
| Died | 11 March 1924 (aged 54) |
| Nationality | Swedish |
| Alma mater | Stockholm University College, Uppsala University |
| Known for | Koch snowflake |
| Scientific career | |
| Fields | Mathematician |
| Institutions | Royal 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 Chancellor of Justice. His father, Richert Vogt von Koch (1838–1913) was a Lieutenant-Colonel in the Life Guards of Horse of the Swedish Army. 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 PhD 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 Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire ("On a continuous curve without tangents constructible from elementary geometry").[2]
He was an invited speaker at the International Congress of Mathematicians in 1900 in Paris with talk Sur la distribution des nombres premiers ("On the distribution of prime numbers")[3] and in 1912 in Cambridge, England, with talk On regular and irregular solutions of some infinite systems of linear equations.[4]
- ^ von Koch, Niels Helge (1901), "Sur la distribution des nombres premiers" [On the distribution of prime numbers], Acta Mathematica (in French), 24: 159–182, doi:10.1007/BF02403071, S2CID 119914826
- ^ von Koch, Helge (1904). "Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire" [On a continuous curve without tangent, obtained by an elementary geometric construction]. Arkiv för Matematik (in French). 1: 681–704. JFM 35.0387.02.
- ^ "Sur la distribution des nombres premiers" [On the distribution of prime numbers]. Congrès Int. Math., Paris 1900. ICM proceedings. University of Toronto Press. 1902. pp. 195–8. JFM 32.0205.01.
- ^ "On regular and irregular solutions of some infinite systems of linear equations". Proc. 5. Intern. Math. Congr. ICM proceedings. Vol. 1. University of Toronto Press. 1913. pp. 352–365. JFM 44.0402.01.