Werner Fenchel

Moritz Werner Fenchel

Werner Fenchel, 1972
Born 3 May 1905(1905-05-03)
Berlin, Germany
Died 24 January 1988(1988-01-24) (aged 82)
Copenhagen, Denmark
Residence Germany, Denmark, USA
Citizenship German
Fields Mathematics:
Geometry
Optimization
Institutions University of Copenhagen
University of Göttingen
Alma mater University of Berlin
Doctoral advisor Ludwig Bieberbach
Doctoral students Birgit Grodal
Known for Convex analysis
Legendre–Fenchel transformation
Fenchel's duality theorem
Influenced Victor Klee
R. Tyrrell Rockafellar

Moritz Werner Fenchel (3 May 1905 – 24 January 1988) was a mathematician known for his contributions to geometry and to optimization theory. Fenchel established the basic results of convex analysis and nonlinear optimization theory. Fenchel's monographs and lecture-notes were very influential also. Fenchel lived most of his life in Denmark.

Contents

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 convex analysis, according to the monograph Convex Analysis of R. T. Rockafellar.

Hyperbolic geometry

Biographical history

Fenchel was born in Germany and wrote his doctorate thesis in geometry (Über Krümmung und Windung geschlossener Raumkurven) under Ludwig Bieberbach at the University of Berlin. He then taught at the University of Göttingen, until 1933 when the Nazi discrimination laws led to mass-firings of Jews.

Fenchel fled to Denmark in 1933, and then obtained a position at the University of Copenhagen. When Germany occupied Denmark, Fenchel and roughly eight-thousand other Danish Jews received refuge in Sweden. After the liberation of Denmark, Fenchel returned to Copenhagen.

Books

  • Fenchel, Werner; Bonnesen, Tommy (1934). Theorie der konvexen Körper. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Berlin: 1. Verlag von Julius Springer. 
  • Fenchel, Werner (1953). Convex Cones, Sets, and Functions}. Princeton, New Jersey: Princeton University Dept. of Mathematics. http://rasmusen.org/x/abros/fenchel.pdf. 
  • Fenchel, Werner; Bonnesen, Tommy (1971). Theorie der konvexen Körper. 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. 
  • Fenchel, Werner (1989). Elementary geometry in hyperbolic space. De Gruyter Studies in mathematics. 11. Berlin-New York: Walter de Gruyter & Co.. 
  • Fenchel, Werner; Nielsen, Jakob; edited by Asmus L. Schmidt (2003). Discontinuous groups of isometries in the hyperbolic plane. De Gruyter Studies in mathematics. 29. Berlin: Walter de Gruyter & Co.. 

See also

External links