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Unlike most popular physics books dealing with such a topic, he actually spends (relatively) little time dwelling on Einstein's work itself (just a couple of chapters) -- there are several books that deal with relativity itself (I'm talking books for the layperson). Instead he quickly starts talking about the "Legacy" of Einstein's great theory. We are led through drama of 20th century cosmology as different solutions were found for the Field Equations which challenged human reason and intuition, ultimately leading to the great crisis: the black hole.
As the author himself is a very active and very highly respected member of the scientic community, the book is full of very interesting (and sometime illuminating) anecdotes about various luminories (I love the one about his bet with Stephen Hawking about the existence of Cygnus X-1 black hole).
If you are a layperson (as far as modern astrophysics is concerned, probably most are lay people) interested in science in general and astronomy in particular, I'd strongly recommend this book (heck, I'd recommend it for any one who's even mildly curious). This is one of the best books in its field (if not the best) that caters to the lay readers (not unlike Richard Dawkins's "Blind Watch Maker" for evolution).
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Professor Thorne wonderfully combined the history development of Black Holes, along with enough ancedotes to satisfy science seekers. There are tons of diagrams, background stories, and enough to keep the reader going.
However, it may be too complex of a book for the layman. It is very hardcore, and may be a little slow for casual readers, with enough details to confuse a reader the first time through.
The book also demonstrates the futuristic predictions and applications of Black Holes, from being a power plant, to wormholes in space. It was easily understood.
Bottom Line: If you're into physics, or have a lot of time, go out and buy this book, because it's worth every penny. This gives a good background history on the slow progress of Black Holes, and includes ancedotes from Hawkings to Landau. It is highly recommended if you want to learn more than just "What is a Black Hole?" As others have suggested, "Gravitation" by Thorne, Wheeler and Misner would be a more complex book if you have the background for it.