Constantin Carathéodory

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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.


Gesammelte mathematische Schriften, vol. 2. Munich [1955].
Funktionentheorie, vols. 1–2. Basel, 1950.
In Russian translation:
Konformnoe otobrazhenie. Moscow-Leningrad, 1934.
References in periodicals archive ?
The existence of inscribable neighborly polytopes has been known since their discovery by Caratheodory [Car11], who found a realization of cyclic polytopes with all their vertices on a sphere.
This class of function is denoted by P known as Caratheodory functions.
is a Caratheodory function and [empty set]: R [right arrow] R is an increasing homeomorphism such that [empty set](0) = 0.
Miller, Differential inequalities and caratheodory functions, Bull.
In such a case F(z) is said to be a Caratheodory function and it can be represented as a Riesz-Herglotz transform of the nontrivial probability measure [sigma] introduced in (1.
In this paper we study the Caratheodory [3] approximation for the solution of a stochastic differential equation where the coefficients are not necessarily continuous and involving the local time of the unknown process.
Constantin Caratheodory, the renowned mathematician and professor in Berlin who came to recognize Petros's genius, is one.
This necessary and sufficient condition is due to Caratheodory and and Toeplitz, can be found in [7].
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].