@seelefand Not personally. It's well written and keeps its promise, in that it contains real proofs that are still understandable to non-mathematicians. I would have zero qualms recommending this to a person who tells me they "would love to understand math, but was always bad at school" or something like that. i.e. if there is some baseline curiosity there, but it's just perceived as too intimidating. I was impressed with the soundness of some of the proofs (e.g. they do mention the problem that 0.999…=1 for Cantor's diagonal proof, which I haven't seen many pop-sci treatments do).
Someone with a mathematical background is likely to already know most of the things talked about. I think it might help in giving examples of how to convey mathematical ideas to "normal people", if you never thought about that. I did, though, and came up with very similar explanations on my own. And …
@seelefand Not personally. It's well written and keeps its promise, in that it contains real proofs that are still understandable to non-mathematicians. I would have zero qualms recommending this to a person who tells me they "would love to understand math, but was always bad at school" or something like that. i.e. if there is some baseline curiosity there, but it's just perceived as too intimidating. I was impressed with the soundness of some of the proofs (e.g. they do mention the problem that 0.999…=1 for Cantor's diagonal proof, which I haven't seen many pop-sci treatments do).
Someone with a mathematical background is likely to already know most of the things talked about. I think it might help in giving examples of how to convey mathematical ideas to "normal people", if you never thought about that. I did, though, and came up with very similar explanations on my own. And they mostly chose examples that are pretty common in pop-science - specifically because they can easily be explained this way. So I don't think the approach carries a lot further than what's in the book. That is, they do not demonstrate that "math education could be easier" and in the algebra section the approach already breaks down, in my opinion.
So, overall, a good pop-sci book, with all the limitations pop-sci has.