What are some good books on number theory, combinatorics and probability for beginners - people who haven't studied calculus yet? There must be some really clear, *fun* books like this. But I don't know them! Someone needs them... now! Thanks. https://twitter.com/kid_wolfe/status/1186417111054184449 …
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(A small point, though: I'm not warranting any of these books as the solution to the specific problem posed by the person who applied to you for advice and recommendations. I don't know what sort of "math club" he or she has in mind, but such things make me a little queasy.)
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How well does the 'Integer Partitions' book explain how the Rademacher formula is derived? I ask because I've had Tom Apostol's on modular functions since last week, and I am finding his chapter on that topic tough sledding. (Not giving up on it yet, though.)
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