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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

8 votes

Parodies of abstruse mathematical writing

In the 80s I attended a conference titled ``Rigid Bodies with Flexible Attachments''. The sad part is that nobody, me included, saw anything strange about that title. It took my wife and her frien …
6 votes

Examples of great mathematical writing

Poincaré's `Sur les solutions périodiques et le principe de moindre action'. in Comptes Rendus des Séances de l'Académie des Sciences, t. 123, p 915-918, 1896 This paper humbled me. It made me reali …
105 votes

The Arnold – Serre debate

I was there. Arnol'd is one of my big mathematical heros, but I found the whole thing really sad. It was in French, but my French is decent. Arnol'd began his part with a phrase I've heard him say be …
Richard Montgomery's user avatar
23 votes

Good differential equations text for undergraduates who want to become pure mathematicians

Arnol'd's ODEs. Hirsch and Smale. As a second best the `supersized version' of this with Devaney added as a co-author.
5 votes

How can I conclude that I live in a solar system?

I find the parallax effect parallax effect especially convincing evidence. Parallax is the shifting of lines of sight due to translation, eg by waiting half an earth year at which point theory tel …
Richard Montgomery's user avatar