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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 …
I thought Graham, Knuth, and Patashnik's "Concrete Mathematics" was very good when I read (part of) it, and wished I'd come to it right when I'd started mathematics. Haven't looked at it in years.
I love it. But I think it'd be tough, or impossible, for students who don't know calculus. For example, one big theme is generalizing tricks from derivatives to differences, and from integrals to finite sums.
Huh. I'd forgotten that. Another book which I loved, and spent hundreds of hours with, is Larson's "Problem Solving Through Problems". More than anything I learnt the basics of discrete math from that book.
Yes, it is a very good book! A friend of me use its french translation in the club of mathematics in his high school!
Sounds good - I'll check it out sometime.
But I wish it had been called "Problem Solving Through Solving Problems". 
I tried it when I was an undergrad and didn't like it - it feels sort of like using Rudin to teach yourself real analysis. Terse and full of essentially pointless tricks that the authors seemingly put there just to look clever.
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