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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
5
votes
Why do we teach calculus students the derivative as a limit?
If it is just a question of definition but not a question of computation, I have heard when I was a student the following definition:
Let $f$ be a real continuous function, class $C^0$. Let
$$
\Delt …
12
votes
Mathematical "urban legends"
I have a story of this kind. My thesis advisor J.-M. Souriau used to talk this story about one of his close friend (I'll keep quiet the name) : "Avant de devenir directeur de l'école normale supérieur …
1
vote
Why the name 'separable' space?
Well "séparer" means just "disjoin", "split up" etc. There are few meanings for "séparation" in french. For exemple "séparer par des fonctions". If you have a space $X$ and a set of functions ${\cal F …
5
votes
What would you want to see at the Museum of Mathematics?
In such a museum, I would like to see how mathematics are used in real life, not just for their internal beauty (well, beauty, simplicity and usability are certainly related). I mentioned above in a c …