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Results tagged with ho.history-overview
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user 11260
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
23
votes
When did the distinction between "pure" and "applied" mathematics become common?
The distinction between pure and applied mathematics goes back to the ancient Greeks, where it was referred to as the study of the world of ideas (pure) versus the world of the senses (applied).
Pluta …
- 188k
6
votes
Fermat last theorem : proof of a criterion by Cauchy
Cauchy's criterion is a special case$^\ast$ of a more general criterion proven by Kummer in 1857 [1], and by Fueter in 1922 [2]. A description of Kummer's derivation and how it implies the Cauchy crit …
- 188k
4
votes
Hilbert's approach to Riemann hypothesis using Fredholm's work
Since this question was bumped to the front page, I might address
Q1: Can someone provide historical references for it?
This goes back to André Weil, who writes in [1] that Ernst Hellinger, a student …
- 188k
6
votes
Accepted
Usage and origin of the terms dictionary and atom in compressed sensing
The terms "dictionary" and "atoms" predate compressed sensing, they are more generally used in signal processing. An example is the Gabor atom for wavelets. For an early use of "dictionary" and "atom" …
- 188k
9
votes
Accepted
Who and when proved Artin's Theorem on alternative rings?
Artin published [1] on the related Wedderburn theorem, but Zorn does not cite a publication on the theorem he attributes to Artin in his 1930 paper [2]. Moufang [3] also cites Zorn in her 1935 publica …
- 188k
10
votes
Accepted
About Friedrichs historical contribution to QFT cited in Reed and Simon
Friedrichs' early contributions are discussed in On the Stone-von Neumann Uniqueness Theorem and Its Ramifications by S.J. Summers:
In the early 1950's, K.O. Friedrichs undertook an influential atte …
- 188k
12
votes
Accepted
Mathematical emails
See https://wiki.archivematica.org/Email_preservation
My own practice is to collect individual messages in a single mbox file, I do this twice a year so that the file is not too big. There are many ro …
25
votes
Accepted
A cipher proposed by Littlewood
Littlewood's cypher is a one-time-pad, which would be unbreakable if fed by a true random number generator, but Littlewood's pseudo-random number generator is broken. See Breaking Littlewood's cypher …
- 188k
13
votes
Did Gödel possess a proof of the independence of $\mathsf{AC}$?
Q1: Except for those quotes, is there any tangible trace of such a proof obtained by Gödel?
Gödel commented on his independence results in a letter dated June 30, 1967 to
W. Rautenberg. In his reply ( …
- 188k
4
votes
Accepted
How are Lie groups and polynomial resolvents related?
In The Resolvent Problem (1947) Chebotarev links the number of parameters in the resolvent to a Lie group theory conjecture by Cartan:
One could hope that Cartan’s hypothesis is not true. [The hypoth …
- 188k
6
votes
Accepted
Reference for Chebyshev centers
The name "Chebyshev center" was introduced by Garkavi [1], for the relationship to the Cheybshev approximation problem (minimize the maximum error). Garkavi refers to a 1951 paper by Zukhovitskii for …
- 188k
1
vote
History of asymptotic expansion of Laplace’s method between Laplace and Erdélyi
The article The origin of the method of steepest descent covers the pre-Debye history, tracing the method back to a 1829 paper by Cauchy, "Mémoire sur divers points d’analyse". Contributions by Rieman …
- 188k
2
votes
Accepted
Who introduced the concept of beyond planar graphs?
A pre-Dagstuhl reference is
Graph drawing beyond planarity: some results and open problems.
G Liotta,ICTCS 14, 3-8 (2014).
The “beyond planarity” research area could be briefly described as the
(pote …
- 188k
27
votes
History of right hand rule
John Ambrose Fleming is credited with the invention of the right-hand-rule in the context of electromagnetism.
The figure below, illustrating $X=Y\times Z$ in a right-handed coordinate system, is from …
- 188k
2
votes
Compare with Weber and Hilbert class field
Keith Conrad discusses the history of class fields in these lecture notes. Weber's and Hilbert's definitions are equivalent, but Weber only considered class fields for ideal groups over $\mathbf{Q}$ …
- 188k