Join the American Homebrew Association to get Zymurgy magazine. What I really like about that one, besides it being a good read, is that you get access to every issue ever published in digital form.
A word on Palmer's How to Brew... get the newest 4th edition print version. The free version online that people will tell you to get is the first edition. John has made many changes to not only his technique but in his way of thinking on certain subjects. There are new sections in the current edition you won't find in previous versions.
I happen to be more artistic rather than scientific minded so I do better with the book Mastering Homebrew by Randy Mosher. Randy's profession is graphic design and in this book he approached recipe formulation in much the same way.
If you like historic English styles you can't beat the books and blog by Ron Pattinson. When it comes to writing this guy is a machine. Ron scours the official archives and municipal records searching for brewers log books, trade publications, news paper articles... even court records related to beer. He's one of those savant types who love crunching numbers and pulling together data to make connections. His insights into what brewing was like in England, Scotland, Ireland and western Europe are unmatched. His blog is: http://barclayperkins.blogspot.com/