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For questions about the interplay between mathematics and the social context in which it is done.
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Least collaborative mathematician
I've checked the complete list of works of Isaac Newton and it does not look as if he ever had a co-author for a single one of his works (I didn't check the entire thing though as it includes over 150 …
3
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Mathematicians with both “very abstract” and “very applied” achievements
A similar story to that of Leray is David Gilbarg. He originally did his PhD on algebraic number theory with Emil Artin, but then switched to more applied topics because of the Second World War, beco …
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Small ideas that became big
Another possibility could be the problem of the brachistochrone, a famous but one might think relatively innocent problem, which then led to the development of the calculus of variations.