Ernst Kötter

Ernst Kötter
Born (1859-08-07)7 August 1859
Berlin
Died 26 January 1922(1922-01-26) (aged 62)[1]
Aachen
Residence Berlin, Aachen (Germany)
Alma mater Berlin University
Awards Price of the Berlin Royal Academy, 1886
Scientific career
Fields Mathematician
Thesis Zur Theorie der Osculationen bei ebenen Curven 3. Ordnung (1884)
Academic advisors Weierstraß, Kronecker

Ernst Kötter was a German mathematician who graduated in 1884 from Berlin University. His treatise "Fundamentals of a purely geometrical theory of algebraic plane curves" gained the 1886 prize of the Berlin Royal Academy.[2] In 1901, he published his report on "The development of synthetic geometry from Monge to Staudt (1847)";[3] 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.[4] He constructed a mobile wood model to illustrate the theorems of Dandelin spheres.[5][6]

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".[7]

Publications

  • Ernst Kötter (Jun 1884). Beiträge zur Theorie der Osculationen bei ebenen Curven dritter Ordnung (Ph.D.). Friedrich-Wilhelms-Universität Berlin.
  • Ernst Kötter (1887). "Grundzüge einer rein geometrischen Theorie der algebraischen ebenen Kurven". Transactions of the 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.
  • Ernst Kötter (1891). "Einige Hauptsätze aus der Lehre von den Curven dritter Ordnung". Mathematische Annalen. 38: 287–297. doi:10.1007/bf01199255.
  • 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.

References

  1. ↑ German National Library: Record Xml
  2. ↑ Norman Fraser (Feb 1888). "Kötter's synthetic geometry of algebraic curves". Proceedings of the Edinburgh Mathematical Society. 7: 46–61. doi:10.1017/s0013091500030364. Here: p.46
  3. ↑ Ernst Kötter (1901). Die Entwickelung der Synthetischen Geometrie von Monge bis auf Staudt (1847). (2012 Reprint as ISBN 1275932649)
  4. ↑ Kötter (1901), Preface, p.VIII
  5. ↑ "Vermischtes (Miscellany)". Jahresbericht der Deutschen Mathematiker-Vereinigung. 16: 82. 1907.
  6. ↑ Illustration of Groningen University
  7. ↑ Otto Blumenthal (1935). David Hilbert, ed. Lebensgeschichte. Gesammelte Abhandlungen. 3. Julius Springer. pp. 388–429. Here: p.402-403


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