Mixed.
Thank goodness Pickover had the guts to write a book about black holes and include some equations! The theory of black holes is inherently mathematical, so it is very welcome to read a book that tries to bridge the gap between a no-equation popularization versus full-on mathematical physics.
But you'll have to be patient, not only to work through the math, but to put up with flaws that editing should have fixed. On p. 56, Pickover offers two equations, and tries to help the reader feel comfortable with them, despite their apparent complexity. But, if you get out a pencil and simplify the algebra, each equation actually reduces to something much simpler. Unfortunately, the first equation reduces all the way to z = r. That can't be right, because the equation is supposed to describe a circle. In the end, I learned something by doing the math to root out the problem. I am half grateful, but half scornful.
Pickover mixes mathematical directness - actually showing equations - with behind-the-back "simplifications", such as changing to non-standard units. In another example, Pickover describes a rotating black hole as "lemon-shaped", then in the notes, he says the black hole isn't lemon-shaped, but he since couldn't think of a fruit that was hamburger-shaped, he just went with lemon (has he heard of grapefruit?). If you're not on your toes, the simplifications can confuse you more than the math itself.
Similarly, Pickover's gimmick to lighten up the presentation by featuring you as a space captain ordering about your underling is awkward to the point of grating, but at least he tried.
I'd have to say this book was not really ready to publish, but I am getting a lot out of it that I can't find in other books, despite the substantial flaws.
Cautiously recommended.