Conversation

Here’s the Katz’s History of Mathematics (table of contents and the cover in the tweet below). Every chapter has a bunch of exercises, where you have to show or prove or solve something using the methodologies or number systems used in the chapter.
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Replying to @linnic91
Not perfect but for exploring how things were arrived at, my favorite book on the history of math is Viktor J. Katz’s A History of Mathematics - it’s very in-depth. For playfulness but also seriously getting into maths - Joel David Hamkin’s Proof and The Art of Mathematics
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This is standard for everyone learning math at uni, of course. But if math was taught this way at schools, I think it would be so much more useful. Math is not isolated from history, philosophy, and even art. It’s not dry arithmetics via routine computation, but exploration.
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Heh, it wasn't super fun at the time for me, but helped a ton. The great thing learning that history was that it liberated me from the myth that new ideas spring forth from genius. Lots of it is messing around with existing ideas and appropriating things from diverse places.
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