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

**18**

votes

**0**answers

247 views

### What happened to Suren Arakelov?

I heard that Professor Suren Arakelov got mental disorder and ceased research. However, a brief search on the Russian wikipedia page showed he was placed in a psychiatric hospital because of political ...

**0**

votes

**1**answer

187 views

### Reference request: Oldest linear algebra books with exercises?

Inspired by the recent success of my "soft question" here, I also have to ask, what are some of the oldest linear algebra books out there with exercises? I'm fine with or without solutions, either way....

**12**

votes

**5**answers

2k views

### Reference request: Oldest calculus, real analysis books with exercises?

Per the title, what are some of the oldest calculus, real analysis books out there with exercises? Maybe there are some hidden gems from before the 20th century out there.
Edit. Unsolved exercises ...

**9**

votes

**0**answers

252 views

### Why does Loday call the permutohedra “zylchgons”?

Today I was reading Jean-Louis Loday's classic paper, "Realization of the Stasheff polytope", in which he produces a simple and very pretty realization of the associahedra as convex polytopes. He ...

**14**

votes

**0**answers

175 views

### Young's natural representation of the symmetric group

The literature on the representation theory of the symmetric group contains some terminology that I find puzzling, and I am wondering if someone here knows the full story.
One of the standard ways to ...

**9**

votes

**0**answers

184 views

### English translation of Wilhelm Killing's 1889 paper

In the paper The greatest mathematical paper of all time, by A. J. Coleman (The Mathematical Intelligencer 11 (1989) pp29-38, https://doi.org/10.1007/BF03025189) the author argues that Wilhelm Killing'...

**2**

votes

**1**answer

146 views

### Looking for an erratum (reference request)

Note: Since what I am asking about below touches on a potentially controversial subject, let me emphasize that I am only asking for a specific reference, and I am not asking for a discussion of the ...

**29**

votes

**2**answers

1k views

### Why did Dedekind claim that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ hadn't been proved before?

In a letter to Lipschitz (1876) Dedekind doubts that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ had been proved before:
quoted from Leo Corry, Modern algebra, German original:
Why did Dedekind doubt that $(\...

**11**

votes

**5**answers

1k views

### Early examples of mathematicians publishing (from home) in a foreign language?

Today this is common, but how exactly did it start? I am looking for examples in various languages, and suggest:
Exclude Latin (as more “ancient” or “international” than “foreign”)
Exclude French ...

**10**

votes

**1**answer

555 views

### Quantum functional analysis

Can one explain some philosophy behind "quantum functional analysis" (or "quantized functional analysis") which was initiated and developed by such researchers as: Ruan Z.-J., Pisier J., Effros E.G., ...

**6**

votes

**0**answers

169 views

### History of the definition of completeness of algebraic varieties (and properness of morphisms)

An algebraic variety (say over an algebraically closed field) $X$ is complete if for every variety $Y$, the projection $X \times Y \to Y$ is closed (with respect to the Zariski topology).
As it is ...

**12**

votes

**4**answers

688 views

### History of ODE and PDE reference request

Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will ...

**6**

votes

**0**answers

115 views

### What (if any) was known about null sets before Lebesgue?

The notion af a null set, i. e., a set of Lebesgue measure zero, does not require a full blown construction of Lebesgue measure:
A set is $E\subset \mathbb{R}$ is called a null-set if it can be ...

**7**

votes

**3**answers

1k views

### “Mächtigkeit” versus “Kardinalität”?

In Cantor's set theory, is there any difference between the terms M?chtigkeit and Kardinalit?t ?

**8**

votes

**1**answer

479 views

### Whence “Durchschnitt” and “Vereinigung”?

Today the set-theoretic operations of intersection $\cap$ [German: Durchschnitt] and union $\cup$ [German: Vereinigung] are standard.
The modern notations are present in the first edition of van der ...