Paul du Bois-Reymond
Paul David Gustav du Bois-Reymond (December 2, 1831 – April 7, 1889) was a German mathematician who was born in Berlin and died in Freiburg. He was the brother of Emil du Bois-Reymond.
His thesis was concerned with the mechanical equilibrium of fluids. He worked on the theory of functions and in mathematical physics. His interests included Sturm-Liouville theory, integral equations, variational calculus, and Fourier series. In this latter field, he was able in 1876 to construct a continuous function whose Fourier series is not convergent.
Du Bois-Reymond also established that a trigonometric series that converges to a continuous function is the Fourier series of this function.
Writings
- Théorie générale des fonctions (Nice : Impr. niçoise, 1887) (translated in French from the original German by G. Millaud and A. Girot)
- De Aequilibrio Fluidorum (PhD Thesis, 1859)
External links
- O'Connor, John J.; Robertson, Edmund F., "Paul du Bois-Reymond", MacTutor History of Mathematics Archive, University of St Andrews
- Paul du Bois-Reymond at the Mathematics Genealogy Project
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