The 2nd displayed equation in section 2.1.2 on p. 44 is garbled (it might be interpreted as saying that U and X have the same distribution). I think you intended:
And indeed we should have stated the implicit convention that u=F(x) before this equation, i.e.
(although U and X cannot be seen to have the same distribution as they live in different spaces).
Filed under: Books, R, Statistics Tagged: Introducing Monte Carlo Methods with R, typos