József Kürschák
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József Kürschák (14 March 1864 – 26 March 1933) was a Hungarian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
noted for his work on trigonometry and for his creation of the theory of valuations. He proved that every valued field can be embedded into a complete valued field which is algebraically closed. In 1918 he proved that the sum of reciprocals of consecutive natural numbers is never an integer. Extending Hilbert's argument, he proved that everything that can be constructed using a ruler and a compass, can be constructed by using a ruler and the ability to copy a fixed segment. He was elected a member of the Hungarian Academy of Sciences in 1897. He was one of the main organisers of mathematics competitions, for example, Eötvös Loránd mathematics competition.


Biography

He was born in Buda to András Kürschák and Jozefa Teller. After completing high school, he studied physics and mathematics from 1881 to 1886 at the Royal University of Pest, where he was a pupil of
Gyula Kőnig Gyula Kőnig (16 December 1849 – 8 April 1913) was a mathematician from Hungary. His mathematical publications in German appeared under the name Julius König. His son Dénes Kőnig was a graph theorist. Biography Gyula Kőnig was active lite ...
and Jenő Hunyady. At the same time, as a member of the Budapest Secondary School Teacher Training Institute, he also visited philosophical and literary performances at the university. In 1886, he started his career as a deputy teacher at Fazekas Mihály Gimnázium in
Debrecen Debrecen ( ; ; ; ) is Hungary's cities of Hungary, second-largest city, after Budapest, the regional centre of the Northern Great Plain Regions of Hungary, region and the seat of Hajdú-Bihar County. A city with county rights, it was the large ...
, but in the same year, taking advantage of the opportunity, he was a probationary candidate in the grammar school of the Budapest Secondary School Teacher Training Institute. He taught at the Gimnázium until 1888 and at that time also graduated from the Budapest University of Science with a mathematics-physics degree. He became a teacher at the Primary Grammar School in Rozsnyó (today
Rožňava Rožňava (, , Latin: ''Rosnavia'') is a town in Slovakia, approximately by road from Košice in the Košice Region, and has a population of 19,182. The town is an economic and tourist centre of the Gemer. Rožňava is now a popular tourist attr ...
,
Slovakia Slovakia, officially the Slovak Republic, is a landlocked country in Central Europe. It is bordered by Poland to the north, Ukraine to the east, Hungary to the south, Austria to the west, and the Czech Republic to the northwest. Slovakia's m ...
). In 1890 he obtained his doctoral degree and in 1890–1981 he was deputy teacher at the Markó street public high school. In 1891 he obtained a degree in mathematics at the Royal Joseph University of Budapest, where he taught until his death. At first he did not give up on high school education, continuing to teach from 1893 to 1896. In 1891–1892, he worked as an assistant professor of geometry. From 1904 he taught as a public lecturer in mathematics at the university. From 1906 to 1909 he was the Dean of the Department of General and Chemical Engineering, and between 1916 and 1918 he was the rector of the University of Art and Design.


References

1864 births 1933 deaths 19th-century Hungarian mathematicians 20th-century Hungarian mathematicians Members of the Hungarian Academy of Sciences People from Buda Mathematicians from Austria-Hungary {{europe-mathematician-stub