Tropfke was born in Berlin at Marienstraße 14 as the older of two sons of the cabinet maker Franz Tropfke. The house in which Tropfke was born was built by his grandfather Franz Joseph Tropfke around 1830 and is one of the few houses in the area that was not destroyed during
World War II. Tropfke grew up in Berlin and after his graduation from the Friedrichs-Gymnasium (high school) in 1884 he attended the university in Berlin to study sciences and mathematics. In 1889 he was awarded a degree to teach math and sciences at
gymnasiums (high schools). Later he earned a
PhD in mathematics from the
University of Halle for a thesis on
elliptic integrals (
Zur Darstellung des elliptischen Integrales erster Gattung), his advisor was
Lazarus Fuchs. Tropfke first worked as teacher at the Friedrichs-Realgymnasium and at the Realgymnasium of
Dorotheenstadt and in 1913 he became the principal of the newly founded Kirschner-Oberrealschule in
Moabit. Tropfke stayed on in this position until his retirement in 1932. In 1907 he was awarded the title of a professor. He was one of the first members of the
International Academy of the History of Science and in 1939 he was awarded the
Leibniz medal by the
Prussian Academy of Sciences. Aside from his work in education and mathematics Tropfke also had a career in local politics. He was a member of the
German People's Party and served as council member for the city of Berlin from 1907 to 1920. Tropfke married Frida Thyssen. The couple had a son Erich, who perished in
World War I, and a daughter Elisabeth. Tropfke died on 10 November 1939 in the very same house in which he was born. == Work ==