I can thoroughly recommend the book too, it has been really well researched and takes pride in its accuracy. It goes into lots more detail about the characters than the series does, and explains the reasoning about loads of tiny 'snippets' in the series that don't really make much sense without the explanation behind them in the book.
For example, the book really goes in depth about the training at Curahee and how Sobel was the one who really made the Company bond and turned them into a 'Band of Brothers', but felt that this didn't really come out as strong in the series as in the book as he came across as just 'an officer' on TV (or Ross

), but he played a much more pivitol part in the forming and training of Easy and the feud that ensued between him and Winters.
In fact, I think it would be better to read the book before watching the series.