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Constantin Carathéodory
(redirected from Caratheodory)

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Carathéodory, Constantin 

Born Sept. 13, 1873, in Berlin; died Feb. 2, 1950, in Munich. German mathematician.

Carathéodory graduated from the Belgian Military Academy in 1895 and studied mathematics in Berlin and Göttingen. He became a professor of the university in Munich in 1924. Carathéodory is the author of works on the theory of conformal mappings, the general theory of set measure, and a new formulation of the theory of the field of extremals (in the calculus of variations). In 1909 he gave a logically precise axiomatic formulation of the laws of thermodynamics.

WORKS

Gesammelte mathematische Schriften, vol. 2. Munich [1955].
Funktionentheorie, vols. 1–2. Basel, 1950.
In Russian translation:
Konformnoe otobrazhenie. Moscow-Leningrad, 1934.


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Let B denote a Caratheodory domain, that is, a bounded simply connected domain such that the boundary of B coincides with the boundary of the domain lying in the complement of the closure of B and containing the point [infinity].
2](Q) and g : [SIGMA] x R x R [right arrow] R is a Caratheodory function and 2[pi]-periodic in t .
 
 
 
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