Paul Tannery (20 December 1843 – 27 November 1904) was a French mathematician and historian of mathematics. He was the older brother of mathematician Jules Tannery, to whose Notions Mathématiques he contributed an historical chapter. Though Tannery's career was in the tobacco industry, he devoted his evenings and his life to the study of mathematicians and mathematical development.
Tannery was born in Mantes-la-Jolie on 20 December 1843, to a deeply Catholic family. He attended private school in Mantes, followed by the Lycées in Le Mans and Caen. He then entered the École Polytechnique, on whose entrance exam he excelled. His curriculum included mathematics, the sciences, and the classics, all of which would be represented in his future academic work. Tannery's life of public service began as he then entered the École d'Applications des Tabacs as an apprentice engineer.
As an assistant engineer, Tannery spent two years in the state tobacco factory at Lille. In 1867, he moved to Paris; three years later, he served as an artillery captain in the Franco-Prussian War. Biographies of Tannery describe him as an ardent patriot and claim that he never fully accepted the humiliating Treaty of Frankfurt.
After his graduation from the École Polytechnique, Tannery had become interested in Auguste Comte and his positivist philosophy. After the war, his interest in mathematics continued, and Comte's ideas would influence his approach to the study of the history of science. Tannery moved several times with his career in the tobacco industry: to Périgord in 1872, to Bordeaux in 1874, to Le Havre in 1877, and to Paris in 1883. Bordeaux had something of an intellectual atmosphere, and though Tannery moved to Le Havre (near his parents, who lived at Caen) at his own request, he would also directly request the move to Paris, where his research and academic pursuits would be able to flourish.