Carl Friedrich Geiser
Carl Friedrich Geiser (born February 26, 1843 in Langenthal ; † March 7, 1934 in Küsnacht ) was a Swiss mathematician who worked at the Swiss Federal Institute of Technology in Zurich . He mainly dealt with algebraic geometry , in which he found, among other things, the Geiser involution . His Geiser minimal surface is also known from investigations into algebraic minimal surfaces.
Life
Geiser's father was a butcher and innkeeper. Jakob Steiner , Geiser's great-uncle, got Geiser to study mathematics. Geiser initially studied four semesters from 1859 to 1861 at the Polytechnic in Zurich and then went to Berlin for four semesters to study with Karl Weierstrass and Leopold Kronecker . Since the support from his parents was insufficient, he gave private lessons on the mediation of Weierstrass and Kronecker.
In 1863 he returned to Zurich, where he and Theodor Reye, after the death of Joseph Wolfgang von Deschwanden (1819–1866), represented his chair for descriptive geometry until it was filled again in May 1867 by Wilhelm Fiedler . On July 28, 1866, Geiser received his doctorate from Ludwig Schläfli in Bern as the latter's first doctoral student ( contributions to synthetic geometry ). He had already completed his habilitation in 1863 and was a private lecturer in pure and applied mathematics from 1863 to 1873 , from 1869 titular professor and finally from 1873 to 1913 full professor for higher mathematics and synthetic geometry. He taught algebraic geometry , differential geometry and the theory of invariants and published on algebraic geometry and minimal surfaces. Geiser was director of the Polytechnic from 1881 to 1887 and from 1891 to 1895. He wasn't a friend of the weapons students .
In addition to his research results, Geiser's participation in the development of the Swiss education system is also remarkable. His connections to important politicians and mathematicians, for whom he owed Steiner, helped him. He published lecture notes and papers left by Steiner. The first international mathematicians' congress took place at the Polytechnic under Geiser in 1897 .
In 1888 he was elected a member of the German Academy of Sciences Leopoldina . In 1932 he became an honorary member of the Leopoldina.
plant
Geiser mainly dealt with algebraic geometry , in which he found, among other things, the Geiser involution that is named after him today . He also published in the field of minimal surfaces .
Fonts
Monographs
- as editor: The theory of conic sections in elementary representation. On the basis of university lectures and the use of manuscripts left by Jacob Steiner , BG Teubner, Leipzig 1867 (first part of Jacob Steiner's lectures on synthetic geometry ; Google Books , ditto , ditto )
- Introduction to synthetic geometry. A guide to teaching at higher secondary schools and grammar schools , BG Teubner, Leipzig 1869 ( Internet archive ; yearbook report )
items
- About a geometrical relationship of the second degree , Mittheilungen der Naturforschenden Gesellschaft in Bern 580-602, 1865, pp. 97-107
- About the normals of the conic sections , Journal for pure and applied mathematics 65, 1866, pp. 381-383 ( Google Books , ditto )
- About two geometric problems , Journal for pure and applied mathematics 67, 1867, pp. 78-89 ( Google Books )
- as editor: Construction of the plane of the second degree through nine points. (Based on the manuscripts Jacob Steiner left behind, presented by CF Geiser in Zurich.) Journal for pure and applied mathematics 68, 1868, pp. 191–192 ( Google Books , ditto )
- On the theory of surfaces of the second and third degree , Journal for pure and applied mathematics 69, 1868, pp. 197–221 ( Google Books )
- About the double tangents of a plane curve of the fourth degree , Mathematische Annalen 1, 1869, pp. 129-138 ( yearbook report )
- About the surfaces of the fourth degree, which have a double curve of the second degree , Journal for pure and applied mathematics 70, 1869, pp. 249-257 ( yearbook report )
- About Steiner's theorems of the double tangents of the fourth-degree curves , Journal for pure and applied mathematics 72, 1870, pp. 370–378 ( yearbook report )
- Note on the algebraic minimum areas , Mathematische Annalen 3, 1871, pp. 530-534 ( yearbook report )
- On the main axis problem of the surfaces of the second degree , Journal for pure and applied mathematics 82, 1877, pp. 47-53
- About a fundamental theorem from the kinematic geometry of space , Journal for pure and applied mathematics 90, 1881, pp. 39-43 ( yearbook report )
literature
- † Prof. Dr. CF Geiser , Schweizerische Bauzeitung 103, March 17, 1934 (short obituary)
- Henri Fehr : C.-F. Geiser , L'Enseignement Mathématique 32, 1933, pp. 410–411 (obituary; French)
- Louis Kollros : † Prof. Dr. Carl Friedrich Geiser , Schweizerische Bauzeitung 103, March 31, 1934, pp. 157–158 (obituary; with picture)
- Arnold Emch : Carl Friedrich Geiser , National Mathematics Magazine 12, 1938, pp. 286–289 (English)
- Johann Jakob Burckhardt : Geiser. Karl Friedrich. In: New German Biography (NDB). Volume 6, Duncker & Humblot, Berlin 1964, ISBN 3-428-00187-7 , p. 154 f. ( Digitized version ).
- Thomas Fuchs: Geiser, Carl Friedrich. In: Historical Lexicon of Switzerland .
Web links
- John J. O'Connor, Edmund F. Robertson : Karl Friedrich Geiser. In: MacTutor History of Mathematics archive .
Individual evidence
- ↑ Emch: Carl Friedrich Geiser , 1938 (English)
- ↑ List of all professors sorted according to entry at ETH Zurich
personal data | |
---|---|
SURNAME | Geiser, Carl Friedrich |
BRIEF DESCRIPTION | Swiss mathematician |
DATE OF BIRTH | February 26, 1843 |
PLACE OF BIRTH | Langenthal |
DATE OF DEATH | March 7, 1934 |
Place of death | Küsnacht |