Werner Fenchel
Moritz Werner Fenchel | |
|---|---|
Optimization | |
| Institutions | University of Copenhagen University of Göttingen |
| Doctoral advisor | Ludwig Bieberbach |
| Doctoral students | Birgit Grodal Troels Jørgensen |
Moritz Werner Fenchel (German:
Biography
Early life and education
Fenchel was born on 3 May 1905 in Berlin, Germany,[1] his younger brother was the Israeli film director and architect Heinz Fenchel.
Fenchel studied mathematics and physics at the
Professorship in Germany
From 1928 to 1933, Fenchel was Professor
. He visited Denmark again in 1932.[1]Professorship in exile
Fenchel taught at Göttingen until 1933, when the Nazi discrimination laws led to mass-firings of Jews.[3]
Fenchel emigrated to Denmark somewhere between April and September 1933, ultimately obtaining a position at the
When
Professorship postwar
In 1946, Fenchel was elected a member of the Royal Danish Academy of Sciences and Letters.[1]
On leave between 1949 and 1951, Fenchel taught in the U.S. at the University of Southern California, Stanford University, and Princeton University.[1]
From 1952 to 1956 Fenchel was the professor in mechanics at the Polytechnic in Copenhagen.[1]
From 1956 to 1974 he was the professor in mathematics at the University of Copenhagen.[1]
Last years, death, legacy
Professor Fenchel died on 24 January 1988.[1]
Geometric contributions
Convex geometry
Optimization theory
Fenchel lectured on "Convex Sets, Cones, and Functions" at Princeton University in the early 1950s. His lecture notes shaped the field of
Hyperbolic geometry
Books
- Fenchel, Werner; Bonnesen, Tommy (1934). Theorie der konvexen Körper. Ergebnisse der Mathematik und ihrer Grenzgebiete. Vol. 3. Berlin: 1. Verlag von Julius Springer.
- Fenchel, Werner (1953). Convex Cones, Sets, and Functions (PDF). Princeton, New Jersey: Princeton University Dept. of Mathematics.
- Fenchel, Werner; Bonnesen, Tommy (1971). Theorie der konvexen Körper. (Reprint of the 1948 German language edition). Bronx, New York: Chelsea Publishing Co.
- Fenchel, Werner; Bonnesen, Tommy (1974). Theorie der konvexen Körper. Berlin-New York: Springer-Verlag.
- Fenchel, Werner; Bonnesen, Tommy (1987). Theory of convex bodies. Moscow, Idaho: L. Boron, C. Christenson and B. Smith. BCS Associates. ISBN 9780914351023.
- Fenchel, Werner (1989). Elementary geometry in hyperbolic space. De Gruyter Studies in mathematics. Vol. 11. Berlin-New York: Walter de Gruyter & Co.
- Fenchel, Werner; Nielsen, Jakob (2003). Schmidt, Asmus L. (ed.). Discontinuous groups of isometries in the hyperbolic plane. De Gruyter Studies in mathematics. Vol. 29. Berlin: Walter de Gruyter & Co.
See also
- Convex analysis
- Convex cone
- Convex function
- Convex set
- Legendre–Fenchel transformation
- Convex minimization
- Geometry
- Nonlinear programming
References
- ^ a b c d e f g h i j k "Theseus Curriculum Vitae of Werner Fenchel". Theseus. Retrieved 28 December 2012.
- ^ "Virtual Internet Authority File 2603673". Retrieved 28 December 2012.
- ^ Kiselman, Christer (2019). "Werner Fenchel: A pioneer in convexity theory" (PDF). Göteborg: Nationellt centrum för matematikutbildning (NCM). 61 (2–4): 133–152.
Many scientists in Germany lost their jobs after the Nazi Machtübernahme in 1933. Fenchel was one of them. It seems appropriate to describe in some detail this development, which is of interest also because of the general decline of science and culture in Germany. See also Gordin (2015: Chapter 7, Unspeakable)
External links
- Werner Fenchel at the Mathematics Genealogy Project
- Werner Fenchel website – contains CV, biography, links to archive, etc.
| International | |
|---|---|
| National | |
| Academics | |
| People | |
| Other | |
