Mathematician:Karl Menger

Mathematician

Austrian-American mathematician who worked on mathematics of algebras, algebra of geometries, curve and dimension theory.

Also contributed to game theory and social sciences.

Nationality

Austrian-American

History

• Born: 13 January 1902 in Vienna, Austria
• Died: 5 October 1985 in Chicago, Illinois, USA

Theorems and Definitions

• Menger's Theorem
• Menger Sponge
• Cayley-Menger Determinant (with Arthur Cayley)
• Menger-Urysohn Dimension (with Pavel Samuilovich Urysohn)
• Erdős-Menger Conjecture (with Paul Erdős)

Results named for Karl Menger can be found here.

Definitions of concepts named for Karl Menger can be found here.

Publications

• 1924: Über die Dimensionalität von Punktmengen
• 1927: Zur allgemeinen Kurventheorie (Fund. Math. Vol. 10: pp. 96 – 115) (in which Menger's Theorem is presented)
• 1928: Dimensiontheorie
• 1932: Kurventheorie
• 1932: Neuere Methoden und Probleme der Geometrie
• 1973: Austrian Marginalism and Mathematical Economics

Sources

• John J. O'Connor and Edmund F. Robertson: "Karl Menger": MacTutor History of Mathematics archive