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Gustav Doetsch (29 November 1892 – 9 June 1977) 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 ...
, aviation researcher, decorated war veteran, and
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 ...
supporter.


Early life

Doetsch was born into a strict
Catholic The Catholic Church, also known as the Roman Catholic Church, is the largest Christian church, with 1.3 billion baptized Catholics worldwide . It is among the world's oldest and largest international institutions, and has played a ...
family on 29 November 1892 in
Cologne Cologne ( ; german: Köln ; ksh, Kölle ) is the largest city of the German western States of Germany, state of North Rhine-Westphalia (NRW) and the List of cities in Germany by population, fourth-most populous city of Germany with 1.1 m ...
."MATHEMATICIANS AT WAR: POWER STRUGGLES IN NAZI GERMANY'S MATHEMATICAL COMMUNITY: GUSTAV DOETSCH AND WILHELM SÜSS"
VOLKER R. REMMERT. Revue d'histoire des mathématiques. p. 7-59. 1999.
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 ...
. 1999. Retrieved May 20, 2010.
From 1904 to 1911 he attended Wohler High School in
Frankfurt Frankfurt, officially Frankfurt am Main (; Hessian: , "Frank ford on the Main"), is the most populous city in the German state of Hesse. Its 791,000 inhabitants as of 2022 make it the fifth-most populous city in Germany. Located on its na ...
, going on to attend the universities at
Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...
,
Munich Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the States of Germany, German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the List of cities in Germany by popu ...
, and
Berlin Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...
between 1911 and 1914, studying mathematics, physics and philosophy."Gustav Doetsch"
School of Mathematics and Statistics, University of St Andrews Scotland. November 2004. Retrieved May 20, 2010.


World War One

With the outbreak of
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fightin ...
, his studies were interrupted when he joined the army in October 1914. Serving in the infantry for two years, in 1916 he moved to the air force where he served as an aerial observer. In 1918 he was discharged, having received the
Iron Cross The Iron Cross (german: link=no, Eisernes Kreuz, , abbreviated EK) was a military decoration in the Kingdom of Prussia, and later in the German Empire (1871–1918) and Nazi Germany (1933–1945). King Frederick William III of Prussia est ...
and position of second-lieutenant.


Completion of studies

He returned to his studies, completing his doctorate at Göttingen in 1920 with the thesis ''Eine neue Verallgemeinerung der Borelschen Summabilitätstheorie der divergenten Reihen''. In 1921 he completed his habilitation thesis at the
Technical University of Hannover Gottfried Wilhelm Leibniz University Hannover (german: Gottfried Wilhelm Leibniz Universität), also known as the University of Hannover, is a public research university located in Hanover, Germany. Founded on 2 May 1831 as Higher Vocational Sc ...
.


Academia

From 1922 to 1924 he lectured at the
University of Halle Martin Luther University of Halle-Wittenberg (german: Martin-Luther-Universität Halle-Wittenberg), also referred to as MLU, is a public, research-oriented university in the cities of Halle and Wittenberg and the largest and oldest university i ...
. Following that he became a professor at the Technical University of Stuttgart. He was offered the chair of mathematics position 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 ...
and
University of Giessen University of Giessen, official name Justus Liebig University Giessen (german: Justus-Liebig-Universität Gießen), is a large public research university in Giessen, Hesse, Germany. It is named after its most famous faculty member, Justus von L ...
, which he declined, before accepting the mathematics chair position at the
University of Freiburg The University of Freiburg (colloquially german: Uni Freiburg), officially the Albert Ludwig University of Freiburg (german: Albert-Ludwigs-Universität Freiburg), is a public university, public research university located in Freiburg im Breisg ...
in 1931.


Modern Laplace transform

The modern formation and permanent structure of the
Laplace transform In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace (), is an integral transform In mathematics, an integral transform maps a function from its original function space into another function space via integra ...
is found in Doetsch's 1937 work ''Theorie und Anwendung der Laplace-Transformation'',"Gustav Doetsch"
Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg. June 15, 2001. Retrieved May 20, 2001.
which was well-received internationally. He dedicated most of his research and scientific activity to the Laplace transform, and his books on the subject became standard texts throughout the world, translated into several languages. His texts were the first to apply the Laplace transform to engineering.


Nazi support

Following World War One, Doetsch adopted pacifist beliefs, joining the Peace Association of German Catholics from 1926 to 1928 and the German Peace Society from 1926 to 1930. However, after the National Socialists assumed power in 1933, he was described as having become "110% Nazi." The policies of the Nazis began to have an effect on academia in Germany, where Jewish intellectuals were targeted for dismissal. Doetsch approved of the dismissal of colleagues he had at one time collaborated with, such as
Edmund Landau Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis. Biography Edmund Landau was born to a Jewish family in Berlin. His father was Leopold ...
, who was his professor when he earned his doctorate at Göttingen, and
Felix Bernstein Felix Bernstein may refer to: *Felix Bernstein (mathematician) (1878–1956), German mathematician *Felix Bernstein (artist) Felix Bernstein (born May 20, 1992) is a performance artist, video artist, writer, and cultural critic. Bernstein was bo ...
, with whom he had spent much time while researching the Laplace transform. Doetsch advocated an "appropriate and purely Aryan representation of Germans" on the editorial board of '' Compositio'', a magazine for which he had been a board member at one time along with
Reinhold Baer Reinhold Baer (22 July 1902 – 22 October 1979) was a German mathematician, known for his work in algebra. He introduced injective modules in 1940. He is the eponym of Baer rings and Baer groups. Biography Baer studied mechanical engineering f ...
,
Ludwig Bieberbach Ludwig Georg Elias Moses Bieberbach (; 4 December 1886 – 1 September 1982) was a German mathematician and Nazi. Biography Born in Goddelau, near Darmstadt, he studied at Heidelberg and under Felix Klein at Göttingen, receiving his doctorate ...
,
Georg Feigl Georg Feigl (13 October 1890 – 20 April 1945) was a German mathematician. Life and work Georg Feigl started studying mathematics and physics at the University of Jena in 1909. In 1918, he obtained his doctorate under Paul Koebe. From 1928 ...
,
Heinz Hopf Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of topology and geometry. Early life and education Hopf was born in Gräbschen, Germany (now , part of Wrocław, Poland), the son of Elizabeth ( ...
,
Alfred Loewy Alfred Loewy (20 June 1873 – 25 January 1935) was a German mathematician who worked on representation theory. Loewy rings, Loewy length, Loewy decomposition and Loewy series are named after him. His graduate students included Wolfgang Krull ...
,
Richard von Mises Richard Edler von Mises (; 19 April 1883 – 14 July 1953) was an Austrian scientist and mathematician who worked on solid mechanics, fluid mechanics, aerodynamics, aeronautics, statistics and probability theory. He held the position of Gordon ...
,
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
, Wilhelm Suss, and
Gábor Szegő Gábor Szegő () (January 20, 1895 – August 7, 1985) was a Hungarian-American mathematician. He was one of the foremost mathematical analysts of his generation and made fundamental contributions to the theory of orthogonal polynomials and T ...
. He would come under scrutiny eventually for his pacifist past, and by 1937 his support for National Socialism waned.


World War Two

With the outbreak of World War Two, Doetsch returned to the
Luftwaffe The ''Luftwaffe'' () was the aerial-warfare branch of the German ''Wehrmacht'' before and during World War II. Germany's military air arms during World War I, the ''Luftstreitkräfte'' of the Imperial Army and the '' Marine-Fliegerabtei ...
as a captain in 1939, serving in the
Reichsluftfahrtministerium The Ministry of Aviation (german: Reichsluftfahrtministerium, abbreviated RLM) was a government department during the period of Nazi Germany (1933–45). It is also the original name of the Detlev-Rohwedder-Haus building on the Wilhelmstrasse ...
. There he was in a leadership role and coordinated mathematical war research. In 1941 he was given the task of creating an institute to apply mathematics to economic and military matters in the
Third Reich Nazi Germany (lit. "National Socialist State"), ' (lit. "Nazi State") for short; also ' (lit. "National Socialist Germany") (officially known as the German Reich from 1933 until 1943, and the Greater German Reich from 1943 to 1945) was ...
. By 1944 he had transferred to Institute for Theoretical Ballistics at the Aviation Research Institute.


Later years

After the war he was suspended from his position at Freiburg, and denied retirement privileges in 1946. He was reinstated to his chair position in 1951, where he would serve ten years, isolated from the rest of the faculty, before retiring in 1961. During this time he completed further literary works, including ''Handbuch der Laplacetransformation'' in 1955, ''Einführung in die Theorie und Anwendung der Laplacetransformation'' in 1958, and ''Anleitung zum praktischen Gebrauch der Laplacetransformation'' in 1961. He also completed ''Funktionaltransformationen'' in 1967. Doetsch died on 9 June 1977.


Publications

* ''Theorie und Anwendung der Laplace-Transformation'', Berlin 1937 *with Dietrich Voelker: ''Die zweidimensionale Laplace-Transformation. Eine Einführung in ihre Anwendung zur Lösung von Randwertenproblemen nebst Tabellen von Korrespondenzen'', Basel Birkhäuser 1950 * ''Handbuch der Laplace-Transformation'', 3 vols., Birkhäuser, Basel 1950, 1955, 1956 * ''Einführung in die Theorie und Anwendung der Laplace-Transformation'', Birkhäuser 1958, 3rd edn. 1976 (English trans. 1974) * ''Anleitung zum praktischen Gebrauch der Laplace-Transformation'', 1961, 3rd edn., Springer 1967 * ''Funktionaltransformationen'', in Sauer, R.; Szabó, I. (eds.) ''Mathematische Hilfsmittel des Ingenieurs'', Springer 1967


References

{{DEFAULTSORT:Doetsch, Gustav 1892 births 1977 deaths Scientists from Cologne People from the Rhine Province German Roman Catholics 20th-century German mathematicians German Peace Society members Academic staff of the Martin Luther University of Halle-Wittenberg Academic staff of the University of Stuttgart German Army personnel of World War I