Paul Finsler | |
---|---|
Born | |
Died | 29 April 1970 76) | (aged
Alma mater | University of Göttingen |
Known for | Finsler manifold Finsler's lemma Finsler–Hadwiger theorem Hadwiger–Finsler inequality Non-well-founded set theory |
Scientific career | |
Fields | Mathematics |
Institutions | University of Zurich |
Academic advisors | Constantin Carathéodory |
Paul Finsler (born 11 April 1894, in Heilbronn, Germany, died 29 April 1970 in Zurich, Switzerland) was a German and Swiss mathematician. [1]
Finsler did his undergraduate studies at the Technische Hochschule Stuttgart, [1] and his graduate studies at the University of Göttingen, where he received his Ph.D. in 1919 under the supervision of Constantin Carathéodory. [2] He studied for his habilitation at the University of Cologne, receiving it in 1922. [1] He joined the faculty of the University of Zurich in 1927, and was promoted to ordinary professor there in 1944. [1]
Finsler's thesis work concerned differential geometry, and Finsler spaces were named after him by Élie Cartan in 1934. [1] The Hadwiger–Finsler inequality, a relation between the side lengths and area of a triangle in the Euclidean plane, is named after Finsler and his co-author Hugo Hadwiger, as is the Finsler–Hadwiger theorem on a square derived from two other squares that share a vertex. [3] Finsler is also known for his work on the foundations of mathematics, developing a non-well-founded set theory with which he hoped to resolve the contradictions implied by Russell's paradox. [1] [4]
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