József Kürschák

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József Kürschák
Matematikai konferencia Szegeden, 1928.jpg
Left to right, standing: Frigyes Riesz, Béla Kerékjártó, Alfréd Haar, Gyula Kőnig, Rudolf Ortvay (hu), on chairs: József Kürschák, George David Birkhoff, O.D. Kellog, Lipót Fejér, sitting on the floor: Tibor Radó, István Lipka (hu), László Kalmár, Pál Szász (hu)
Born (1864-03-14)14 March 1864
Buda, Kingdom of Hungary
Died 26 March 1933(1933-03-26) (aged 69)
Budapest, Kingdom of Hungary
Nationality Hungary
Alma mater Technical University of Budapest
Scientific career
Fields Mathematics
Institutions Technical University of Budapest
Doctoral students Dénes Kőnig

József Kürschák (14 March 1864 – 26 March 1933) was a Hungarian mathematician noted for his work on trigonometry and for his creation of the theory of valuations.[1] 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 in 1897. He was one of the main organisers of mathematics competitions, for example, Eötvös Loránd mathematics competition.[2]