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Age of Sail alert: I'm cataloguing a book for work called Beyond the learned academy—the practice of mathematics, 1600–1850, and it has multiple chapters about what sorts of mathematics members of the navy were supposed to know to pass their exams.
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Oh, that sounds interesting. I am going to resist attempting to find a copy, I already have too many math books unread (there was a Very Large Discount on some Donald Knuth collected essays a few years back, and the writing is dense, so I think I've done a chapter a year).