That's a good choice, but I can also highly recommend M. Stean's Simple Chess. I've recently started it and I feel it's changing my view and understanding of the game. And it's more fun than Reassess, since it's based on (very well) annotated games by famous players.
1590 standart player looking for books.
"Captain Underpants" a series by Dav Pilkey.
These books will teach you everything you need to know to annihilate your opponents. I'm actually not joking, it's fascinating how the Capt. faces off against villains and refuses to accept authority.
I used to read those books when I was learning to read.
See with the book you can always go back read it and later read even when your premium. Plus you can read it any where any time.