# Questions tagged [ho.history-overview]

History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

**6**

votes

**2**answers

525 views

### Books on the History of math research at European universities

Are there good books that cover the history of math and mathematical science (ex. physics, chemistry, computer science) PhD programs in the Occident? My primary motivation is to figure out how the PhD ...

**20**

votes

**1**answer

387 views

### Videos of Gian-Carlo Rota Lectures

I apologize if this is off topic.
I think most of his listeners would agree with me that Gian-Carlo Rota had a wonderful style of lecture delivery. I have heard him lecture, both as an undergraduate ...

**43**

votes

**5**answers

6k views

### Have the tides ever turned twice on any open problem?

Oftentimes open problems will have some evidence which leads to a prevailing opinion that a certain proposition, $P$, is true. However, more evidence is discovered, which might lead to a consensus ...

**20**

votes

**2**answers

2k views

### Intuition behind counterexample of Euler's sum of powers conjecture

I was stunned when I first saw the article Counterexample to Euler's conjecture on sums of like powers by L. J. Lander and T. R. Parkin:.
How was it possible in 1966 to go through the sheer ...

**2**

votes

**0**answers

114 views

### Noether’s “set theoretic foundations” of algebra. Reference

In [C Mclarty] we read
[Noether] project was to get abstract algebra away from thinking about operations on elements, such as addition or multiplication of elements in groups or rings. Her algebra ...

**17**

votes

**0**answers

410 views

### Who first noticed the duality for finite groups?

A.A.Kirillov in section 12.3 of his "Elements of the Theory of Representations" writes that the first "symmetric" duality theory for non-commutative groups was the theory for finite groups. In short ...

**46**

votes

**4**answers

4k views

### Consequences of lack of rigour [closed]

The standards of rigour in mathematics have increased several times during history. In the process some statements, previously considered correct where refuted. I wonder if these wrong statements ...

**9**

votes

**0**answers

255 views

### History of the definition of smooth manifold with boundary

I am trying to determine the earliest source for the definition of smooth ($C^\infty$) manifold with boundary. Milnor and Stasheff (1958) give a definition, but a scrutiny of that definition shows it ...

**3**

votes

**1**answer

137 views

### History of the Taxonomy of Quadrilaterals

Question:
how did the classification of quadrilaterals come into being? Was there a single major contributor who coined terms like "rectangle", "square", "trapez/ium/oid", "kite", "deltoid", ...

**11**

votes

**1**answer

182 views

### Poincaré on analytic dependence on parameters of solutions of linear differential equations

There is the following important General Principle: if a parameter enters
in a linear differential equation additively, for example
$$\frac{d^2w}{dx^2}+(q(x)+\lambda)w=0,$$
where the parameter is $\...

**37**

votes

**1**answer

1k views

### Class field theory - a “dead end”?

I found the claim in the title a bit astonishing when I first read it recently in an interview with Michael Rapoport in the German magazine Spiegel (8 February 2019). And I was wondering how he comes ...

**36**

votes

**3**answers

3k views

### Who discovered the surreals?

Common folklore dictates that the Surreals were discovered by John Conway as a lark while studying game theory in the early 1970's, and popularized by Donald Knuth in his 1974 novella.
Wikipedia ...

**1**

vote

**0**answers

298 views

### What about this picture of André Weil?

Some days ago I came across the following photo of André Weil. I obtained it from the archived page COLLOQUE ANDRé WEIL (resume).
Furthermore, I found that this photo was used as the cover of a ...

**0**

votes

**1**answer

85 views

### Name for Directed Edges in Digraphs

Graph theory originated in German speaking countries and there directed edges are called "Pfeil" which translates to "arrow", which makes sense, because arrows have distinguishable front end and rear ...

**29**

votes

**2**answers

909 views

### Littlewood’s three precepts of refereeing in mathematics: is it (1) new, (2) correct, (3) interesting?

I have a question regarding Littlewood’s three precepts of refereeing a mathematical paper, namely whether it is (1) new, (2) correct, and (3) interesting.
I have found these mentioned in the ...