Some Problems in the History of Modern Mathematics

Gray, Jeremy (2022). Some Problems in the History of Modern Mathematics. In: Morel, Jean-Michel and Teissier, Bernard eds. Mathematics Going Forward : Collected Mathematical Brushstrokes. Lecture Notes in Mathematics, 2313. Springer, pp. 315–323.



In this essay I propose five problems for historians of mathematics that call for new or improved historical treatments of modern mathematics. Many more could have been chosen, but these topics all have the potential to invigorate the field and connect to neighbouring disciplines. They are: a social history, a history of applied mathematics, a history of differential equations, a history of mathematics in the eighteenth century, and a history informed by the philosophy of mathematical practice. As will be seen, there are significant overlaps between these five topics.

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