Hans Heinrich Bürmann
Encyclopedia
Hans Heinrich Bürmann was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 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
Grand Duchy of Baden
The Grand Duchy of Baden was a historical state in the southwest of Germany, on the east bank of the Rhine. It existed between 1806 and 1918.-History:...

 in 1811. He did scientific research in the area of combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...

 and he contributed to the development of the symbolic language of mathematics. He discovered the generalized form of the Lagrange inversion theorem
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.-Theorem statement:...

. He corresponded and published with Joseph Louis Lagrange
Joseph Louis Lagrange
Joseph-Louis Lagrange , born Giuseppe Lodovico Lagrangia, was a mathematician and astronomer, who was born in Turin, Piedmont, lived part of his life in Prussia and part in France, making significant contributions to all fields of analysis, to number theory, and to classical and celestial mechanics...

 and Carl Hindenburg
Carl Hindenburg
Carl Friedrich Hindenburg was a German mathematician born in Dresden. His work centered mostly on combinatorics and probability.- External links :...

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