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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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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The Integer Partitions book attempts no proof of the asymptotic formula for the number of partitions of n. The intended audience for this book is more or less complete beginners, and the asymptotic formula requires some pretty subtle calculus (specifically, the "circle method.")
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