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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
11
votes
Rediscovery of lost mathematics
The breadth-first search, a classical algorithm of Computational Graph Theory, has an interesting history of invention.
According to Wikipedia, it was invented in 1945 by Michael Burke and Konrad Zu …
28
votes
Accepted
Countable connected Hausdorff space
First let us fix the terminology.
The space (1) is known in General Topology as the Golomb space. More precisely, the Golomb space $\mathbb G$ is the set $\mathbb N$ of positive integers, endowed wit …
7
votes
1
answer
520
views
The place and year of birth of Henry Maurice Sheffer
I do not know whether this question (in history of math) is proper for MathOverflow, but I know no other places where it can be asked with a hope to obtain an answer.
Reading the biography of Henry Ma …
16
votes
1
answer
769
views
Who first proved that algebraic numbers form an algebraically closed field?
I am interested in the history related to algebraic numbers and have two questions:
Who first proved that algebraic numbers form a field?
Who first proved that algebraic numbers form an algebraicall …
11
votes
3
answers
553
views
Was the small Desargues Theorem known to ancient Greeks?
My question concerns the classical Desargues Theorem and its simplest version
The small Desargues Theorem: Let $A$, $B$, $C$ be three distinct parallel lines and $a,a'\in A$, $b,b'\in B$, $c,c'\in C$ …
2
votes
Was the small Desargues Theorem known to ancient Greeks?
In fact, I asked this question hoping to find some appropriate name that can be legally used for naming affine spaces satisfying the small Desargues Theorem. Now I have learned that in Projective Geom …
9
votes
0
answers
223
views
Who was the first to prove that the automorphism group of a finite field is cyclic and is ge...
$\DeclareMathOperator\Aut{Aut}$It is well-known that the automorphism group $\Aut(F)$ of a finite field $F$ of characteristic $p$ is cyclic of order $n$ where $|F|=p^n$. Moreover, the cyclic group $\A …
7
votes
1
answer
325
views
A metric characterization of Hilbert spaces
In the Wikipedia paper on Hadamard spaces, it is written that every flat Hadamard space is isometric to a closed convex subset of a Hilbert space. Looking through references provided by this Wikipedia …
4
votes
1
answer
675
views
Who and when proved Artin's Theorem on alternative rings?
I am interested in the history of the proof of Artin's Theorem (on the diassociativity of alternative rings).
Question. When has Artin proved this theorem and where was it published for the first tim …