Ernst Kötter
German mathematician
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Ernst Kötter (1859-1922) was a German mathematician.
Ernst Kötter | |
|---|---|
| Born | 7 August 1859 |
| Died | 26 January 1922 (aged 62)[1] |
| Alma mater | University of Berlin |
| Awards | Prize of the Berlin Royal Academy (1886) |
| Scientific career | |
| Fields | Mathematician |
| Thesis | Zur Theorie der Osculationen bei ebenen Curven 3. Ordnung (1884) |
Academic advisors | Karl Weierstrass Leopold Kronecker |
Education
Kötter graduated in 1884 from the University of Berlin under the supervision of Karl Weierstrass and Leopold Kronecker.[2]
Career
Kötter's treatise "Fundamentals of a purely geometrical theory of algebraic plane curves" gained the 1886 prize of the Berlin Royal Academy.[3]
In 1901, he published his report on "The development of synthetic geometry from Monge to Staudt (1847)";[4] it had been sent to the press as early as 1897, but completion was deferred by Kötter's appointment to Aachen University and a subsequent persisting illness.[5] He constructed a mobile wood model to illustrate the theorems of Dandelin spheres.[6][7]
In a discussion with Schoenflies and Kötter, Hilbert reportedly uttered his famous quotation according to which points, lines, and planes in geometry could be named as well "tables, chairs, and beer mugs".[8]
Publications
- Ernst Kötter (Jun 1884). Beiträge zur Theorie der Osculationen bei ebenen Curven dritter Ordnung (Ph.D.). Friedrich-Wilhelms-Universität Berlin. Archived from the original on 2016-03-04. Retrieved 2022-01-21.
- Ernst Kötter (1887). "Grundzüge einer rein geometrischen Theorie der algebraischen ebenen Kurven". Royal Academy of Berlin.
- Ernst Kötter (Oct 1888). "Die Hesse'sche Curve in rein geometrischer Behandlung". Mathematische Annalen. 34: 123–149. doi:10.1007/bf01446793. S2CID 119585670. Retrieved 2019-08-10.
- Ernst Kötter (1891). "Einige Hauptsätze aus der Lehre von den Curven dritter Ordnung". Mathematische Annalen. 38 (2): 287–297. doi:10.1007/bf01199255. S2CID 120687043.
- Ernst Kötter (1892). "Ueber diejenigen Polyeder, die bei gegebener Gattung und gegebenem Volumen die kleinste Oberfläche besitzen. Erste Abhandlung". Journal für die reine und angewandte Mathematik. 110: 198–229.
- Ernst Kötter (1900). "Construction der Oberfläche zweiter Ordnung, welche neun gegebene Punkte enthält". Jahresbericht der Deutschen Mathematiker-Vereinigung: 99–102.
