Impossible?: Surprising Solutions to Counterintuitive Conundrums

I am a mathematician, so my opinion is probably biased. This is the kind of popular book on mathematics that would have appealed to me in my young age and seems still very enjoyable and instructive (I have only skimmed it so far). The main reason for my review is that, the book not giving an email address for the author, this place seemed the easiest one to point out a computation error that invalidates the proof of irrationality of log 2 in the appendix. The correct computation will lead to a correct proof, but a different one, which as expected, must use the uniqueness of prime factorization.

fun book. well written, well organized, interesting selection of topics. if you enjoy recreational mathematics and logic puzzles, buy and enjoy.

i warn the potential purchaser that this may not be quite what you expect. There is a demand for substantial mathematical sophistication - which was a little beyond my level (i do have a doctorate, but not in math, and had to stop taking math courses after my sophomore year in college because matrix algebra was about all i could handle). i don't doubt that the book is delightful for those strong in math and i probably would give it 5 stars except that the title strikes me as a bit misleading. probably your average college graduate would not know enough to find these conundrums counterintuitive, and the solutions, likewise, are probably not much more surprising than that the conundrums are supposedly common-sensical. not a criticism of the material, more of the packaging. james h waters phd