Erich Immanuel Trefftz (born 21 February 1888 in Leipzig, died 21 January 1937 in Dresden
) was a German mathematician, aerodynamicist and university professor.
Life
Erich Trefftz was the son of merchant Oskar Trefftz (1848–1906) and Anna Eliza, née Runge. His uncle was mathematician
Carl Runge
Carl David Tolmé Runge (; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist.
He was co-developer and co-eponym of the Runge–Kutta method (), in the field of what is today known as numerical analysi ...
. From 1897 he attended the Thomasschule in Leipzig. In 1900 the family moved to Aachen.
Trefftz graduated from the Kaiser-Wilhelm-Gymnasium in Aachen in 1906.
He studied mechanical engineering at the
Aachen Technical University for two semesters, then changed subject to mathematics, which he continued from 1908 in Göttingen, where he studied under
David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.
Hilbert discovered and developed a broad range of fundamental idea ...
,
Paul Koebe
Paul Koebe (15 February 1882 – 6 August 1945) was a 20th-century German mathematician. His work dealt exclusively with the complex numbers, his most important results being on the uniformization of Riemann surfaces in a series of four papers in ...
and
Ludwig Prandtl
Ludwig Prandtl (4 February 1875 – 15 August 1953) was a German Fluid mechanics, fluid dynamicist, physicist and aerospace scientist. He was a pioneer in the development of rigorous systematic mathematical analyses which he used for underlyin ...
. He completed a period of study at Columbia University in New York in 1909/10 and then continued his studies under
Richard von Mises
Richard Martin 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 ...
at the University of Strasbourg.
From 1912 he worked as an assistant at the Aachen Technical University and received his doctorate in 1913 with the thesis "On the contraction of circular liquid jets". In the First World War, Trefftz was a volunteer and officer from 1914 until he was recalled to the Aerodynamic Institute in Aachen after being wounded in May 1917. During this time, he also wrote his habilitation thesis and was appointed professor of mathematics at the Aachen Technical University in 1919.
In 1918, he married Frieda Offermann. The couple had five children born between 1919 and 1926, including physicist
Eleonore Trefftz, and radiologist Friederike Trefftz.
In 1922, Erich Trefftz was appointed to the Mechanical Department of the Technical University of Dresden and, as a full professor of technical mechanics, headed the chair of the same name in the Mathematics and Natural Sciences Department from 1927, where he focused particularly on aviation and, in this field, on hydrodynamics, elasticity theory and vibration theory. In 1926, Trefftz published a method for the "numerical, approximate solution of linear homogeneous boundary value problems for partial differential equations", which is now known as the "
Trefftz method". In 1929, the Technical University of Stuttgart awarded him an honorary doctorate. From 1933, Erich Trefftz was editor of the Journal of Applied Mathematics and Mechanics of the Society for Applied Mathematics and Mechanics, which was continued after his death by Friedrich Adolf Willers. In November 1933, he signed the
German professors' declaration of allegiance to
Adolf Hitler
Adolf Hitler (20 April 1889 – 30 April 1945) was an Austrian-born German politician who was the dictator of Nazi Germany from 1933 until Death of Adolf Hitler, his suicide in 1945. Adolf Hitler's rise to power, He rose to power as the lea ...
. In 1934, he received the Ackermann-Teubner Memorial Prize. During the Nazi era, Trefftz advocated for numerous Jewish colleagues, as well as politically persecuted individuals such as Friedrich Adolf Willers. From 1936, Trefftz worked three days a week at the German Research Institute for Aviation in Berlin-Adlershof. At roughly the same time, he became co-editor of the Gelbe Springersche Sammlung (Yellow Springer Collection).
His explanation of
induced drag
Lift-induced drag, induced drag, vortex drag, or sometimes drag due to lift, in aerodynamics, is an aerodynamic drag force that occurs whenever a moving object redirects the airflow coming at it. This drag force occurs in airplanes due to wings or ...
is known as "Trefftz-plane theory".
[https://ocw.mit.edu/courses/16-100-aerodynamics-fall-2005/a50f5b9f91c0ad125d141e041e086167_16100lectre19_cg.pdf]
Erich Trefftz died in Dresden in 1937, aged 48, after a serious illness. His urn was interred in the Trefftz family plot (No. 31) in Section VIII of the New Johannis Cemetery in Leipzig. A commemorative inscription is located on the Trefftz family gravestone in the Loschwitz Cemetery. In 1987, a bust of Erich Trefftz was unveiled in the Willers Building of the TU Dresden. Since 1994, the lecture hall building of the mathematical and physical institutes of the TU Dresden has borne the name Trefftz Building. Part of his estate is now administered by the TU Dresden Archives.
References
External links
{{DEFAULTSORT:Trefftz, Erich
1888 births
1937 deaths
20th-century German mathematicians
Aerodynamicists