Mathematician:Constantin Carathéodory

Mathematician

German-Greek mathematician who contributed to the theory of functions of a real variable, the calculus of variations and measure theory.

Also worked on rationalisation of the theory of thermodynamics.

Nationality

Greek, of German origin

History

• Born: September 13, 1873, Berlin, Germany
• Died: February 2, 1950, Munich, Germany

Theorems and Definitions

• Borel-Carathéodory Theorem (with Émile Borel)
• Borel-Carathéodory Lemma (with Émile Borel)
• Carathéodory Conjecture
• Carathéodory's Theorem (Analysis)
• Carathéodory's Theorem (Convex Analysis)
• Carathéodory's Theorem (Measure Theory)
• Carathéodory-Jacobi-Lie Theorem (with Carl Gustav Jacob Jacobi and Sophus Lie)
• Carnot-Carathéodory Metric
• Vitali-Carathéodory Theorem (with Giuseppe Vitali)
• Carathéodory Metric
• Carathéodory Condition
• Carathéodory Measurable

Results named for Constantin Carathéodory can be found here.

Definitions of concepts named for Constantin Carathéodory can be found here.

Publications

• 1904: Über die diskontinuierlichen Lösungen in der Variationsrechung

• 1906: Über die starken Maxima und Minima bei einfachen Integralen (Math. Ann. Vol. 62: pp. 449 – 503)

• 1909: Untersuchungen über die Grundlagen der Thermodynamik (Math. Ann. Vol. 67: pp. 355 – 386)

• 1911: Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen (Rend. Circ. Mat. Palermo Vol. 32: pp. 193 – 217)

• 1914: Über das lineare Mass von Punktmengen - eine Verallgemeinerung des Längenbegriffs (Gött. Nachr. pp. 404 – 406)

• 1914: Elementarer Beweis für den Fundamentalsatz der konformen Abbildungen (Schwarzsche Festschrift)

• 1923: Zur Axiomatic der speziellen Relativitätstheorie (Sitzb. Preuss. Akad. Wiss. pp. 12 – 27)

• 1938: Entwurf für eine Algebraisierung des Integralbegriffs (Sitzber. Bayer. Akad. Wiss. pp. 27 – 69)

Also known as

Otherwise known as Constantine Karatheodori (in Greek: Κωνσταντίνος Καραθεοδωρή).

His surname is often rendered without the accent: Caratheodory.

Sources

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

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Caratheodory, Constantin (1873-1950)