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

21 votes

A question regarding a claim of V. I. Arnold

I heard Arnold tell the story in a talk, twenty-odd years ago. He had presented the teaser during a seminar in Princeton (some limit involving tangent functions, I don't remember exactly), and Falting …
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27 votes

Major mathematical advances past age fifty

Zariski proved what might be arguably his greatest result, the theorem on formal functions, just after turning fifty. He also initiated a whole field of enquiry, the theory of equisingularity, in his …
56 votes
5 answers
9k views

How do we know that Fermat wrote his famous note in 1637?

It is widely stated that Fermat wrote his famous note on sums of powers ("Fermat's last theorem") in, or around, 1637. How do we know the date, if the note was only discovered after his death, in 1665 …
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115 votes

what mistakes did the Italian algebraic geometers actually make?

Of course, we all know great mathematicians who constantly make mistakes even now, and not because of foundations. In any case, it's not like "long dead Italian algebraic geometers" is a category of …
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9 votes
Accepted

Genealogy of the Lagrange inversion theorem

The Lagrange inversion formula allows to give a combinatorial interpretation of the Jacobian conjecture. See for example the classic paper of Bass, Connell and Write, The Jacobian conjecture: reductio …
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