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Paul Tannery

Paul Tannery is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Paul Tannery rather than just read about it. In short: 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.

Paul Tannery — main illustration
Paul Tannery — illustration

Key takeaways

  • Paul Tannery belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Paul Tannery to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Paul Tannery from memory before moving on to harder problems.

Reference excerpt

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.

Life and career 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.

It was in Paris that Tannery took on his first two major editorial works. In 1883, he began an edition of Diophantus's manuscripts, and in 1885, he and Charles Henry began an edition of one of Fermat's works. This work was made possible by access to the Bibliothèque Nationale, 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 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 La Géométrie grecque, comment son histoire nous est parvenue et ce que nous en savons. Paris: Gauthier-Villars. 1887. 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 J. G. Friedlein James Gow Siegmund Günther Hermann Hankel J. L. Heiberg Friedrich Hultsch Gino Loria Maximilien Marie J. H. T. Müller G. H. F. Nesselmann Franz Susemihl Hieronymus Georg Zeuthen

References

Bryan, G.H. (March 1905). "Obituary Notice: M. Paul Tannery". The Mathematical Gazette. 3 (50). The Mathematical Association: 168. doi:10.1017/S0025557200114962. O'Connor, John J.; Robertson, Edmund F., "Paul Tannery", MacTutor History of Mathematics Archive, University of St Andrews Sarton, George (November 1947). "Paul, Jules, and Marie Tannery (with a note on Grégoire Wyrouboff)". Isis. 38 (1/2). University of Chicago Press: 33–51. doi:10.1086/348033. S2CID 145421923. "Tannery, Paul". Dictionary of Scientific Biography. Scribner. 1970. pp. 251–257.

Further reading O'Connor, J J; E F Robertson. "How do we know about Greek mathematicians?". Retrieved 2009-03-19. "Paul Tannery". Osiris. 4. Saint Catherines Press: 633–689. 1938. doi:10.1086/368485. S2CID 224798468. (French) Sarton, George; Pierre Boutroux (1938). "L'OEuvre de Paul Tannery". Osiris. 4. Saint Catherines Press: 690–705. doi:10.1086/368486. S2CID 143445864. (French) Sarton, George (November 1947). "Paul, Jules, and Marie Tannery (with a note on Grégoire Wyrouboff)". Isis. 38 (1/2). University of Chicago Press: 33–51. doi:10.1086/348033. S2CID 145421923. "Tannery, Paul". Dictionary of Scientific Biography. Scribner. 1970. pp. 251–257.

Illustrations

Paul Tannery: Paul Tannery
Paul Tannery
Paul Tannery: Letter (1885)
Letter (1885)

Worked examples

Example 1 — a first encounter with Paul Tannery

Start with the simplest possible case. Write down what Paul Tannery claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Paul Tannery before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Paul Tannery ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Paul Tannery

In research
Paul Tannery appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Paul Tannery in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Paul Tannery is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1843 births, 1904 deaths, Amateur mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Paul Tannery outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Paul Tannery in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Paul Tannery means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Paul Tannery out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Paul Tannery in simple terms?

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.

Why does Paul Tannery matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Paul Tannery?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Paul Tannery.

Tags

  • 1843 births
  • 1904 deaths
  • Amateur mathematicians
  • French historians of mathematics

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