Paul Tannery
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Paul Tannery (20 December 1843 – 27 November 1904) was a French
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 historian of mathematics. He was the older brother of mathematician
Jules Tannery Jules Tannery (24 March 1848 – 11 December 1910) was a French mathematician, who notably studied under Charles Hermite and was the PhD advisor of Jacques Hadamard. Tannery's theorem on interchange of limits and series is named after him. H ...
, to whose ''Notions Mathématiques'' he contributed an historical chapter. Though Tannery's career was in the
tobacco Tobacco is the common name of several plants in the genus '' Nicotiana'' of the family Solanaceae, and the general term for any product prepared from the cured leaves of these plants. More than 70 species of tobacco are known, but the ...
industry, he devoted his evenings and his life to the study of mathematicians and mathematical development.


Life and career

Tannery was born in
Mantes-la-Jolie Mantes-la-Jolie (, often informally called Mantes) is a Communes of France, commune in the Yvelines Departments of France, department in the ÃŽle-de-France Regions of France, region of north-central France. It is located to the west of Paris, f ...
on 20 December 1843, to a deeply
Catholic The Catholic Church (), also known as the Roman Catholic Church, is the List of Christian denominations by number of members, largest Christian church, with 1.27 to 1.41 billion baptized Catholics Catholic Church by country, worldwid ...
family. He attended private school in Mantes, followed by the
Lycée In France, secondary education is in two stages: * ''Collèges'' () cater for the first four years of secondary education from the ages of 11 to 14. * ''Lycées'' () provide a three-year course of further secondary education for students between ...
s in Le Mans and
Caen Caen (; ; ) is a Communes of France, commune inland from the northwestern coast of France. It is the Prefectures in France, prefecture of the Departments of France, department of Calvados (department), Calvados. The city proper has 105,512 inha ...
. He then entered the
École Polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...
, 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 Lille (, ; ; ; ; ) is a city in the northern part of France, within French Flanders. Positioned along the Deûle river, near France's border with Belgium, it is the capital of the Hauts-de-France Regions of France, region, the Prefectures in F ...
. In 1867, he moved to
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
; three years later, he served as an artillery captain in the
Franco-Prussian War The Franco-Prussian War or Franco-German War, often referred to in France as the War of 1870, was a conflict between the Second French Empire and the North German Confederation led by the Kingdom of Prussia. Lasting from 19 July 1870 to 28 Janua ...
. 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 Isidore Auguste Marie François Xavier Comte (; ; 19 January 1798 – 5 September 1857) was a French philosopher, mathematician and writer who formulated the doctrine of positivism. He is often regarded as the first philosopher of science in the ...
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 Bordeaux ( ; ; Gascon language, Gascon ; ) is a city on the river Garonne in the Gironde Departments of France, department, southwestern France. A port city, it is the capital of the Nouvelle-Aquitaine region, as well as the Prefectures in F ...
in 1874, to
Le Havre Le Havre is a major port city in the Seine-Maritime department in the Normandy (administrative region), Normandy region of northern France. It is situated on the right bank of the estuary of the Seine, river Seine on the English Channel, Channe ...
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. It was in Paris that Tannery took on his first two major editorial works. In 1883, he began an edition of
Diophantus Diophantus of Alexandria () (; ) was a Greek mathematician who was the author of the '' Arithmetica'' in thirteen books, ten of which are still extant, made up of arithmetical problems that are solved through algebraic equations. Although Jose ...
's manuscripts, and in 1885, he and Charles Henry began an edition of one of
Fermat Pierre de Fermat (; ; 17 August 1601 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his d ...
's works. This work was made possible by access to the
Bibliothèque Nationale A library is a collection of books, and possibly other materials and media, that is accessible for use by its members and members of allied institutions. Libraries provide physical (hard copies) or digital (soft copies) materials, and may be a p ...
, and so Tannery had to reduce his efforts in 1886 when he was transferred to Tonneins. Even without access to the Bibliothèque, Tannery remained hard at work, however, as he published two books composed of articles he had been writing for the '' Revue philosophique de la France et de l'étranger'' and for the ''Bulletin de sciences mathematiques''. In 1888, Tannery moved back to Bordeaux, where he studied Greek astronomy and directed the tobacco factory. Two years later, he was back in Paris; he would remain near Paris until his death. Despite a heavy professional workload, he continued to be productive in his work in the history of science. His editions of Diophantus and Fermat were published, along with over 250 articles. From 1890 forward, Tannery's other major work focused on a new edition of Descartes's works and correspondence, on which he collaborated with Charles Adam, an historian of modern philosophy. Scandal arose in 1903 when the
Collège de France The (), formerly known as the or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment () in France. It is located in Paris near La Sorbonne. The has been considered to be France's most ...
began a search for a new professor of the history of science. Tannery was considered something of a shoo-in; he even began writing his inaugural lecture. Instead, the position went to Grégoire Wyrouboff, who concentrated on modern mathematicians instead of Tannery's classical and seventeenth-century idols. Wyrouboff was also a freethinker, an asset to the secularist Third Republic, while Tannery was Catholic. Tannery died soon thereafter, on 27 November 1904, in Pantin, just outside Paris. His wife, Marie, would survive until 1945, and she published several of his works posthumously, helping to ensure that his legacy would live on. He was an Invited Speaker of the ICM in 1904 in Heidelberg.


Works

* * '' Pour l'histoire de la science hellène'', Paris, Félix Alcan, 1887 (réimpr. Paris, Gauthier-Villars, 1930) * ''Recherches sur l'histoire de l'astronomie ancienne'', Paris, Gauthier-Villars, 1893 * ''Diophantus alexandrinus. Opera Omnia'', 2 vol., Leipzig, B.G. Teubner, 1893-1895 * '' Œuvres de Fermat'', (with Charles Henry), 5 Volumes, Paris, Gauthier-Villars, 1891-1922. * '' Œuvres de Descartes'', (with Charles Adam), Paris, Léopold Cerf, 1897-1909 (2 supplements in 1910 and 1913). * ''Mémoires scientifiques'' (17 vol., Toulouse, Édouard Privat, Paris, Gauthier-Villars, 1912-1950) : :''Sciences exactes dans l'Antiquité'' (Volumes I-III), :''Sciences exactes chez les byzantins'' (Volume IV), :''Sciences exactes au Moyen Âge'' (Volume V), :''Sciences modernes'' (Volume VI), :''Philosophie antique'' (Volume VII), :''Philosophie moderne'' (Volume VIII), :''Philologie'' (Volume IX), :''Généralités historiques'' (Volume X), :''Comptes rendus et analyses'' (Volumes XI-XII), :''Correspondance'' (Volumes XIII-XVI), :''Biographie, Bibliographie, compléments et tables'', (Volume XVII).


See also

* George Johnston Allman * C. A. Bretschneider *
Moritz Cantor Moritz Benedikt Cantor (23 August 1829 – 10 April 1920) was a German historian of mathematics. Biography Cantor was born at Mannheim. He came from a Sephardi Jewish family that had emigrated to the Netherlands from Portugal, another branch ...
* J. G. Friedlein * James Gow * Siegmund Günther *
Hermann Hankel Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix. Biography Hankel was born on ...
* J. L. Heiberg * Friedrich Hultsch * Gino Loria * Maximilien Marie * J. H. T. Müller * G. H. F. Nesselmann * Franz Susemihl * Hieronymus Georg Zeuthen


References

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Further reading

* * (French) * (French) * * {{DEFAULTSORT:Tannery, Paul 1843 births 1904 deaths Amateur mathematicians French historians of mathematics