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Results tagged with ho.history-overview
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user 106467
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
4
votes
Rediscovery of lost mathematics
J.E. Campbell published a paper on Bäcklund transformations for the partial differential equation $\partial^2 z/\partial x \partial y = F(x,y,z)$ in 1907. He showed there were three such PDEs of this …
10
votes
Rediscovery of lost mathematics
The work of Charles Riquier (1853-1929) and Maurice Janet (1888-1983) on the formal properties of systems of partial differential equations (published 1910 - 1929) fell out of sight until J.-F. Pommar …
5
votes
Has the mathematics research community ever been led astray by a dumb mistake?
I think that Jules Drach's nonlinear differential Galois theory is an example. It was published as his thesis: "Essai sur une théorie générale de l'intégration et sur la classification des transcendan …
6
votes
Examples of long running and consecutively numbered international meetings
https://en.wikipedia.org/wiki/International_Congress_of_Mathematicians.
Started in 1897, so long running.
As for the numbering:
In the aftermath of World War I, at the insistence of the Allied
Powers …
2
votes
Accepted
Egyptian number theory
According to the chapter on Egyptian mathematics and astronomy in the book by O. Neugebauer, The Exact Sciences in Antiquity (1951, 1957), Egyptian mathematics only involved basic arithmetic with posi …
- 1,826
1
vote
Archiving mathematical correspondence
I'm not sure whether this is a comprehensive example, but
Singularités Irrégulières: Correspondance et Documents (Société Mathématique de France, 2007)
contains correspondence from 1976 - 1991 between …
3
votes
Books about history of recent mathematics
Jeremy Gray, Plato's Ghost: the modernist transformation of mathematics, Princeton 2008 discusses the changes in mathematical thinking and views of mathematics between 1890 and about 1930.
Dennis E. H …
4
votes
Accepted
How did the term "space" in mathematics started to be understood as a set with a structure?
The web page http://www.map.mpim-bonn.mpg.de/Axiomatization_of_the_manifold_concept attributes the earliest definition to M. Fréchet (per user234212323's comment) and to F. Riesz.
- 1,826
13
votes
0
answers
370
views
What was the "stormy discussion" about differential Galois theory at IHES?
In Kazuo Okamoto and Yousuke Ohyama's paper "Mathematical works of Hiroshi Umemura", Annales de la faculté des sciences de Toulouse Mathématiques, XXIX, no. 5 (2020) pp. 1053-1062, there is a referenc …
- 1,826
8
votes
English translation of Wilhelm Killing's 1889 paper
This paper has been translated by David Delphenich under the title of "The composition of continuous, finite, transformation groups" (see here).
[Note that the paper's date is given as 1869 in the tra …
- 1,826
6
votes
Autobiographies of mathematicians
Yvonne Choquet-Bruhat, A Lady Mathematician in This Strange Universe: Memoirs, author's translation of the French original, Une Mathematicienne dans cet étrange universe.
I think this review sums it u …
3
votes
When have we lost a body of mathematics because errors were found?
I'm not sure that Drach's 1898 thesis on differential Galois theory "built a small industry", but it was certainly accepted and praised by his examiners before Vessiot pointed out a very serious flaw. …
3
votes
Papers of the masters translated to English in one location
David Delphenich's site http://www.neo-classical-physics.info/index.html provides "over 20 books and 450 articles on topics in classical mathematics and physics translated from French, German, Italian …
3
votes
Connection of principal fiber bundles — history
Leaving aside the question of whether mathematics is discovered (as you imply) or invented, I suggest that you examine the paper:
Charles Ehresmann, "Les connexions infinitésimales dans un espace fibr …
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