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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 …
Taras Banakh's user avatar
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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 …
Taras Banakh's user avatar
  • 41.8k
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 …
Taras Banakh's user avatar
  • 41.8k
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 $a,a'\in A$, $b,b'\in B$, $c,c'\in C$ …
Taras Banakh's user avatar
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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 …
Taras Banakh's user avatar
  • 41.8k
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 …
Taras Banakh's user avatar
  • 41.8k
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 …
Taras Banakh's user avatar
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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 …
Taras Banakh's user avatar
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