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

16 votes

Which great mathematicians were also historians of mathematics?

Armand Borel wrote several essays on the history of Lie groups and algebraic groups that were collected and published as a book.
8 votes

Mathematicians with both “very abstract” and “very applied” achievements

Raoul Bott. The Bott-Duffin theorem, which is essentially the result of Bott's doctoral thesis (in electrical engineering; the director was Richard Duffin), gives a constructive proof that a positive- …
24 votes

Which mathematical ideas have done most to change history?

Every time I see a question like this I am reminded of something V.I. Arnold wrote, which I take the liberty of quoting here: All mathematics is divided into three parts: cryptography (paid for …