One side of the story,
This review is from: Behind Deep Blue: Building the Computer That Defeated the World Chess Champion (Paperback)
There are three stories in the contest between the IBM-backed chess program and the then World Champion, Gary Kasparov:
.. the human story, both of the programmers and Kasparov
.. the chess story, what moves were made in the matches
.. the program story, why the computer made the moves it did.
This book does a half and a couple of quarters. The human story is from the perspective of one of the Deep Blue team, the one primarily responsible for the specialist hardware, rather than anything from Kasparov's side. The 'why' of a few critical moves are looked at... then it's back to the author being wonderful. (For more detail about the program, the reader is pointed to the IBM website, with the comment that the info might not be there any more. It's not and you'll need to use archive.org to see it.)
There is some interesting stuff, particularly around those moves, but this is very much aimed at a reader who can barely make a move and doesn't know about computers. For that audience, it's great. But if you're interested in creating computer programs, rather than reading about the struggle to create them, this is not the book for you. For much more detail on Deep Blue's program and hardware, see Chips Challenging Champions: Games, Computers and Artificial Intelligence which contains a technical paper written by the Deep Blue team.