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This book explains lots of algorithms, the author tries to give you a brief overview on each of them.
However, if you're interested in the concrete ideas and proofs on how the algorithms help you to compress your data, with some mathematical works, the book isn't enough. You'll find it difficult if you want to implement the algorithms by merely reading the book.
Some idea are not clearly explained too, say, the the information on Gzip is just a summary of the GNU documentation with no in-depth discussion.
Anyway, this book is a great one judging from the (sad) fact that there are not many references on the subject.

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