Mannheim
Mannheim (; Palatine German language, Palatine German: or ), officially the University City of Mannheim (), is the List of cities in Baden-Württemberg by population, second-largest city in Baden-Württemberg after Stuttgart, the States of Ger ...
) 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, mathematical structure, structure, space, Mathematica ...
and teacher. He ran an "academy of commerce" in Mannheim since 1795 where he used to teach mathematics. He also served as a censor in Mannheim. He was nominated Headmaster of the Commerce Academy of the
Grand Duchy of Baden
The Grand Duchy of Baden () was a German polity on the east bank of the Rhine. It originally existed as a sovereign state from 1806 to 1871 and later as part of the German Empire until 1918.
The duchy's 12th-century origins were as a Margravia ...
in 1811. He did scientific research in the area of
combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
and he contributed to the development of the symbolic language of mathematics. He discovered the generalized form of the
Lagrange inversion theorem
In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function. Lagrange inversion is a special case of the inverse function ...
. He corresponded and published with
Joseph Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaCarl Hindenburg.