Du_Bois-Reymond
# Paul David Gustav Du Bois-Reymond

### Born: 2 Dec 1831
in Berlin, Germany

Died: 7 April 1889
in Freiburg, Germany

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**Paul du Bois-Reymond** was a brother of the famous physiologist Emil du Bois-Reymond and studied at Berlin and then medicine at Zurich. Moving to Königsberg he was influenced by Franz Neumann to change to mathematics. After a doctorate from Berlin he held chairs in Heidelberg, Freiburg and Tübingen where he succeeded Hankel. Finally he was appointed to a chair in Berlin.
His work is almost exclusively on calculus, in particular differential equations and functions of a real variable. He generalised Monge's idea of the characteristic of a partial differential equation from 2nd order equations to nth order equations. This work formed a basis of what Lie was to generalise later.

In 1873 he gave a continuous function with divergent Fourier series at any point solving a major problem. The term 'integral equation' is due to Du Bois-Reymond.

**References (5 books/articles)**

JOC/EFR December 1996