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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, structure, space, models, and change. History On ...
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 of copying a fixed segment. He was elected a member of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its ma ...
in 1897. He was one of the main organisers of
mathematics competition Mathematics competitions or mathematical olympiads are competitive events where participants complete a math test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. International mathematics compe ...
s, for example, Eötvös Loránd mathematics competition.


Biography

He was born in Buda to András Kürschák and Teller Jozefa. After completing high school, he studied physics and mathematics from 1881 to 1886 at the
Royal University of Pest Royal may refer to: People * Royal (name), a list of people with either the surname or given name * A member of a royal family Places United States * Royal, Arkansas, an unincorporated community * Royal, Illinois, a village * Royal, Iowa, a cit ...
, 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 Jenő Hunyady (April 28, 1838 in Pest – December 26, 1889 in Budapest) was a Hungarian mathematician noted for his work on conic sections and linear algebra, specifically on determinants. He received his Ph.D. in Göttingen (1864). He wo ...
. 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 second-largest city, after Budapest, the regional centre of the Northern Great Plain region and the seat of Hajdú-Bihar County. A city with county rights, it was the largest Hungarian city in the 18th century and i ...
, 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 ( hu, Rozsnyó, german: Rosenau, 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 ...
,
Slovakia Slovakia (; sk, Slovensko ), officially the Slovak Republic ( sk, Slovenská republika, links=no ), 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 s ...
). 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 1906-1909 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 Austro-Hungarian mathematicians {{europe-mathematician-stub