Gerhard Kowalewski
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Gerhard Kowalewski (27 March 1876 – 21 February 1950) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and member of the
Nazi Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in ...
party who introduced the matrices notation.


Early life

Waldemar Hermann Gerhard Kowalewski was born March 27, 1876, in Alt Järshagen in
Pomerania Pomerania ( pl, Pomorze; german: Pommern; Kashubian: ''Pòmòrskô''; sv, Pommern) is a historical region on the southern shore of the Baltic Sea in Central Europe, split between Poland and Germany. The western part of Pomerania belongs to ...
, then part of the German Empire. "Kowa-Kozeluch"
Allgemeine deutsche Biographie & Neue deutsche Biographie. Retrieved May 20, 2010.
He was the son of Julius Leonard Kowalewski, a school teacher. In 1893 he left home to attend the
University of Königsberg The University of Königsberg (german: Albertus-Universität Königsberg) was the university of Königsberg in East Prussia. It was founded in 1544 as the world's second Protestant academy (after the University of Marburg) by Duke Albert of Pruss ...
, where his brother Christian Kowalewski was a professor of philosophy and mathematics. There he studied mathematics and philosophy before enrolling at the
University of Greifswald The University of Greifswald (; german: Universität Greifswald), formerly also known as “Ernst-Moritz-Arndt University of Greifswald“, is a public research university located in Greifswald, Germany, in the state of Mecklenburg-Western Pom ...
, before eventually settling at the
University of Leipzig Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 Decemb ...
, where he earned his doctorate with the thesis ''Über eine Kategorie von Transformationsgruppen einer vierdimensionalen Mannigfaltigkeit'' in 1898. At Leipzig he was a student of
Sophus Lie Marius Sophus Lie ( ; ; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations. Life and career Marius Soph ...
, where he was considered one of Lie's most elite and gifted students.


Academia

In 1901 he became an associate professor at the
University of Greifswald The University of Greifswald (; german: Universität Greifswald), formerly also known as “Ernst-Moritz-Arndt University of Greifswald“, is a public research university located in Greifswald, Germany, in the state of Mecklenburg-Western Pom ...
before moving on to the
University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine ...
in 1904. In 1909 he left for
Prague Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and List of cities in the Czech Republic, largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 milli ...
to assume an appointment to a German-based school, before taking a position with the German University of Prague in 1912. From there he took a position at the
Technical University of Dresden TU Dresden (for german: Technische Universität Dresden, abbreviated as TUD and often wrongly translated as "Dresden University of Technology") is a public research university, the largest institute of higher education in the city of Dresden, th ...
, culminating in his appointment as Rector in 1935. During 1937—1941, he was an editor of the journal ''
Deutsche Mathematik ''Deutsche Mathematik'' (German Mathematics) was a mathematics journal founded in 1936 by Ludwig Bieberbach and Theodor Vahlen. Vahlen was publisher on behalf of the German Research Foundation (DFG), and Bieberbach was chief editor. Other editors ...
''. In 1937 he requested leave and was granted such from the Reich Ministry of Education. He returned to the German University of Prague in 1939 where he held a position until 1945, which following the expulsion of Germans following the war, fled to
Munich Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the third-largest city in Germany, after Berlin and Ha ...
where he established himself at the
Technical University of Munich The Technical University of Munich (TUM or TU Munich; german: Technische Universität München) is a public research university in Munich, Germany. It specializes in engineering, technology, medicine, and applied and natural sciences. Establis ...
.


Legacy

Kowalewski is known for the introduction of the matrices notation in 1909 with his work titled ''Determinantentheorie''. He researched theories of
determinant In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if a ...
s,
transformation group In mathematics, the automorphism group of an object ''X'' is the group consisting of automorphisms of ''X'' under composition of morphisms. For example, if ''X'' is a finite-dimensional vector space, then the automorphism group of ''X'' is the gr ...
s, natural and differential geometry, and approximation and interpolation, publishing over 100 works, including ''Vorlesungen über natürliche Geometrie'', the German translation of
Ernesto Cesàro __NOTOC__ Ernesto Cesàro (12 March 1859 – 12 September 1906) was an Italian mathematician who worked in the field of differential geometry. He wrote a book, ''Lezioni di geometria intrinseca'' (Naples, 1890), on this topic, in which he also ...
's work, ''Das Integral und seine geometrischen Anwendungen'' in 1910, ''Über Bolzanos Nichtdifferenzierbare Stetige Funktion'', ''Der Keplersche Korper und andere Bauspiele'' in 1938, and his memoir in 1950, ''Bestand und Wandel'', as well as 24 mathematical textbooks. He was awarded the Lobachevsky Diploma in 1927. Kowalewski was a member of the Saxon Academy of Sciences, the
Société Mathématique de France Lactalis is a French multinational dairy products corporation, owned by the Besnier family and based in Laval, Mayenne, France. The company's former name was Besnier SA. Lactalis is the largest dairy products group in the world, and is the sec ...
, and socially associated with members of the Louvre Circle and Prague intellectual elite, which included Berta Fanta,
Oskar Kraus Oskar Kraus (24 July 1872 – 26 September 1942) was a Czech philosopher and jurist. Life Oskar Kraus, who converted from the Jewish to the Protestant faith, was born in Prague, the son of Hermann Kraus and Clara Reitler-Eidlitz. In 1899 he mar ...
,
Franz Kafka Franz Kafka (3 July 1883 – 3 June 1924) was a German-speaking Bohemian novelist and short-story writer, widely regarded as one of the major figures of 20th-century literature. His work fuses elements of realism and the fantastic. It ...
, Hugo Bergmann,
Philipp Frank Philipp Frank (March 20, 1884 – July 21, 1966) was a physicist, mathematician and philosopher of the early-to-mid 20th century. He was a logical positivist, and a member of the Vienna Circle. He was influenced by Mach and was one of the Machis ...
,
Albert Einstein Albert Einstein ( ; ; 14 March 1879 – 18 April 1955) was a German-born theoretical physicist, widely acknowledged to be one of the greatest and most influential physicists of all time. Einstein is best known for developing the theory ...
, and
Christian von Ehrenfels Christian von Ehrenfels (also ''Maria Christian Julius Leopold Freiherr von Ehrenfels''; 20 June 1859 – 8 September 1932) was an Austrian philosopher, and is known as one of the founders and precursors of Gestalt psychology. Christian von Eh ...
. Kowalewski died in 1950 in
Gräfelfing Gräfelfing is a municipality in the district of Munich, in Bavaria, Germany. It is located 1 km west of Munich. The name "Gräfelfing" first appears as "Grevolvinga", which as per one hypothesis could possibly name a tribe leader named "gr ...
.


Nazi party membership

Kowalewski was a member of the Nazi party,"Mathematicians under the Nazis"
Sanford L. Segal. Princeton University Press, 2003. pp. 179–180. , 9780691004518.
who said about
Adolf Hitler Adolf Hitler (; 20 April 188930 April 1945) was an Austrian-born German politician who was dictator of Nazi Germany, Germany from 1933 until Death of Adolf Hitler, his death in 1945. Adolf Hitler's rise to power, He rose to power as the le ...
that "he has been sent to us by Providence." This helped him secure his position as Rector at the Technical University of Dresden.


Notes


External links

{{DEFAULTSORT:Kowalewski 19th-century German mathematicians 1950 deaths 1876 births 20th-century German mathematicians