I see a lot of newbies are starting out brewing and thought a list of good brewing books might help someone.
1) Homebrewing for Dummies by Marty Nachel - great book, easiest to follow
2) The Complete Joy of Homebrewing by Charlie Papazian, good book. somewhat dated information.
3) How to Brew by John Palmer - this is the most up to date, and contains far more technical information for when you advance.
1) New Brewing Lager Beer by Greg Noonan - this is the all-grain bible
2) Designing Great Beers by Ray Daniels - best book on the thought process of formulating recipes out there. Dated, though.
3) The Classic Style Series by various authors
4) Brewing Better Beer by Gordon Strong
Recipe oriented books;
1) Brewing Classic Styles by Jamil Zainisheff & John Palmer - best recipe book for understanding beer styles and competition brewing
2) Radical Brewing by Randy Mosher - When you want to make a beer with non-standard ingredients, this is the one to turn to.
3) Microbrewed Adventures by Charlie Papazian
4) Beer Captured by Tess and Mark Szamatulski
1) Principles of Brewing Science by George Fix
2) Beer Chem 101 - by Lee Jansen
3) Yeast: the practical guide to fermentation by Jamil Zainisheff & Chris White
4) Brew like a Monk by Stan Hieronymous
5) Farmhouse Ales by Phil Markowski
6) Wild Brews by Jeff Sparrow
7) Brewing with Wheat by Stan Hieronymous