József Kürschák
József Kürschák | |
|---|---|
Left to right, standing: Frigyes Riesz, Béla Kerékjártó, Alfréd Haar, Dénes Kőnig, Rudolf Ortvay, on chairs:
József Kürschák, George David Birkhoff, O.D. Kellog, Lipót Fejér, sitting on the floor: Tibor Radó, István Lipka, László Kalmár, Pál Szász | |
| Born | 14 March 1864 |
| Died | 26 March 1933 (aged 69) |
| 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. 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 a natural number. 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.