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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Replying to @johncarlosbaez
This was used partly in a sophomore course I sat in as a grad student https://www.amazon.com/Number-Theory-Dover-Books-Mathematics/dp/0486682528 … and thought it was very nice.
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Replying to @_onionesque @johncarlosbaez
FWIW -- the course was especially designed for non-majors, so I think it should qualify. But I don't remember now exactly, so won't be able to calibrate how this would be for someone who never took any calculus (but I think the first half should be fine).
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Replying to @_onionesque @johncarlosbaez
I got this second hand a while back as I wanted to brush up on Number Theory from a largely CS perspective. It is very combinatorics focussed and uses proof by induction a lot. I think it should be ok for pre-calc though. One note: do NOT get kindle version. Equations are images.
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Replying to @kierondrake @johncarlosbaez
Yes, that was my impression as well -- that it was more of a CS book, with quite some effort to make it accessible to even students out of high school (IMO). I really liked that book (or maybe the instructor who taught that course).
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I actually did pick up this book when I was in high school (hooray for cheap Dover paperbacks!) and I really enjoyed it then, even though I only had time to study the first 5 chapters or so.
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