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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.
It's lots of Olympiad / Putnam-style questions, with lots of good advice interspersed on how to think about problem solving. (Never did math contests. But when I was 18 I decided I should learn how to do that kind of problem solving. Larson helped a lot, & it was a useful skill)
Weird random fact: I tried to buy it when I was 18 or so. Was nearly $200, IIRC, which was too much at the time. So I used a library copy. But last year, walking through the Mission in San Francisco, I found it in a pile of books on the sidewalk, being given away. So happy!
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