Emma Goldmen, Kropotkin and Bookchin great staples for the traditional principals. ABC's of Anarchism by Alexander Berkman is very easy to read starter on anarchist communism. I also enjoyed T.A.Z. Temporary Autonomous Zone.

If you want a free periodical check out Slingshot. It's a quarterly publication out of Berkeley. You can pick it up at Left Bank Books in Pike Place. you should go there anyway if you want to start reading about anarchism. They are a leftist book store and the people who work there are very intelligent. They can recommend you books galore.
I would hit up the Anarchist Book Fair too. I believe it is August 20th & 21st at Vera.

"Steal this book" by Kaufman.

Well these are three huge fields of study, but regarding the first two subjects I would recommend the works of Russian zoologist/ anarchist Peter Kropotkin as one basic philosophical starting place. "Mutual Aid", Kropotkin's most well known book, introduced a whole new philosophy of human and animal nature, one which relies more on cooperation than competition. When I first read it in high school it blew my mind, and destroyed my previous education on "survival of the fittest" or that life is "nasty brutish and short" and laid the foundation for the idea that societies can exist and thrive without a central authority.

"My Life" by Emma Goldman is a nice readable book by one feminist anarchist.