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Constantin Carathéodory (Greek: Κωνσταντίνος Καραθεοδωρή) (September 13, 1873 – February 2, 1950) was a German mathematician of Greek origin. He made significant contributions to the theory of functions of a real variable, the calculus of variations, and measure theory. His work also includes important results in conformal representations and in the theory of boundary correspondence. September 13 is the 256th day of the year (257th in leap years). ...
1873 was a common year starting on Wednesday (see link for calendar). ...
February 2 is the 33rd day of the year in the Gregorian Calendar. ...
1950 was a common year starting on Sunday (link will take you to calendar). ...
A mathematician is a person whose area of study and research is mathematics. ...
Real analysis is that branch of mathematical analysis dealing with the set of real numbers and functions of real numbers. ...
Calculus of variations is a field of mathematics which deals with functions of functions, as opposed to ordinary calculus which deals with functions of numbers. ...
In mathematics, a measure is a function that assigns a number, e. ...
In mathematics, a mapping w = f(z) is angle-preserving or (more usually) conformal at a point z0, if it preserves oriented angles between curves through z0, as well as their orientation, i. ...
Constantin Carathéodory was born in Berlin from Greek parents and grew up in Brussels, where his father served as the Ottoman ambassador to Belgium. The Carathéodory family was well-established and respected in Constantinople, and its members held many important governmental positions. Constantin Caratheodory File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ...
Constantin Caratheodory File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ...
Berlin (pronounced: , German ) is the capital of Germany and its largest city, with 3,426,000 inhabitants (as of January 2005); down from 4. ...
Emblem of the Brussels-Capital Region Flag of The City of Brussels Brussels (Dutch: Brussel, French: Bruxelles, German: Brüssel) is the capital of Belgium and is considered by many to be the de facto capital of the European Union, as two of its three main institutions have their headquarters...
The Ottoman Empire at the height of its power Imperial motto El Muzaffer Daima The Ever Victorious (as written in tugra) Official language Ottoman Turkish Capital İstanbul (Constantinople/Asitane/Konstantiniyye ) Sovereigns Sultans of the Osmanli Dynasty Population ca 40 million Area 6. ...
Map of Constantinople. ...
Carathéodory studied engineering in Belgium, where he was considered a charismatic and brilliant student. In 1900 he entered the University of Berlin. In the years 1902-1904 he completed his graduate studies in the University of Göttingen under the supervision of Hermann Minkowski. During the years 1909-1920 he held various lecturing positions in Hannover, Breslau, Göttingen and Berlin. There is no institution called the University of Berlin, but there are four universities in Berlin, Germany: Humboldt University of Berlin (Humboldt-Universität zu Berlin) Technical University of Berlin (Technische Universität Berlin) Free University of Berlin (Freie Universität Berlin) Berlin University of the Arts (Universität der Künste Berlin) This is...
The Georg-August University of Göttingen (Georg-August-Universität Göttingen, often called the Georgia Augusta) was founded in 1734 by George II, King of Great Britain and Elector of Hanover, and opened in 1737. ...
Hermann Minkowski. ...
Map of Germany showing Hanover Hanover (in German: Hannover [haˈnoːfɐ]), on the river Leine, is the capital of the state of Lower Saxony (Niedersachsen), Germany. ...
Wrocław. ...
In 1920 Carathéodory accepted a post in the University of Smyrna, invited by Prime Minister Eleftherios Venizelos. He took a major part in establishing the institution, but his efforts ended in 1922 when the Greek population left the city after the Greco-Turkish War. Shows the Location of the Province İzmir Izmir from space, June 1996 Izmir (Turkish spelling İzmir, contraction of its original Greek name Smyrna, Σμυρνη), the second-largest port (after İstanbul) and the third most populous city (2,409,000 in 2000) of Turkey is located on the Aegean Sea near...
A prime minister may be either: the chief or leading member of the cabinet of the top-level government in a country having a parliamentary system of government; or the official, in countries with a semi-presidential system of government, appointed to manage the civil service and execute the directives...
Eleftherios Venizelos Eleftherios Venizelos (Ελευθέριος Βενιζέλος) (August 23, 1864 - March 18, 1936) was probably the most significant politician of modern Greece. ...
The name Greco-Turkish War is given to two armed conflicts between Greece and Turkey or its predecessor the Ottoman Empire: The Greco-Turkish War of 1897 (also called the Thirty Days War) The Greco-Turkish War of 1919-1922 (also called the War in Asia Minor, and in Turkey...
Having been forced to move to Athens, Carathéodory brought along with him some of the university library, thus saving it from destruction. He stayed at Athens and taught at the university and technical school until 1924. The Acropolis in central Athens, one of the most important landmarks in world history. ...
In 1924 Carathéodory was appointed professor of mathematics at the University of Munich, and he held this position until his death in 1950. With approximately 48,000 students, the Ludwig-Maximilians-University Munich (German: Ludwig-Maximilians-Universität München or LMU) is one of the largest universities in Germany. ...
1926 he gave a strict and general proof, that no system of lenses and mirrors can avoid Aberration, except for the trivial case of plane mirrors. 1926 was a common year starting on Friday (link will take you to calendar). ...
Aberration in optical systems (lenses, prisms, mirrors or series of them intended to produce a sharp image) generally leads to blurring of the image. ...
Among other accomplishments, one should mention Carathéodory's remarkable talent for languages. In addition to Greek and French as native languages, he published most of his works in German and also fluently spoke English, Italian and Turkish. Such an impressive linguistic arsenal enabled him to communicate and exchange ideas directly with other mathematicians during his numerous travels, and greatly extend his fields of knowledge.
He is credited with the theories of outer measure, and prime ends, amongst other mathematical results. In mathematics, in particular in measure theory, an outer measure is a function defined on all subsets of a given set with values in the extended real numbers satisfying some additional technical conditions. ...
See also http://www.karatheodori.gr/ (Greek website) In mathematics, the Borel-Carathéodory theorem in complex analysis shows that an analytic function may be bounded by its real part. ...
In mathematics, Carathéodorys theorem may refer to one of a number of results of Constantin Carathéodory: Carathéodorys theorem (convex hull) about the convex hulls of sets in Euclidean space Carathéodorys theorem (measure theory) about outer measures in measure theory Carathéodorys theorem (conformal mapping) This is a...
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