Nice recommendations, Naisortep.
School Chess Library
I would suggest "The Complete Idiot's Guide to Chess". On Amazon.com it is highly rated with 58 reviews which will give a good feel for the book. Please don't be put off by the word "Idiot's" which is just a sales idea for a series of books. I'm studying it and I really like it. There is one diagram for each move described in most cases. It has a good index and a good table of contents. It's available in most book stores, but at Amazon.com it is discounted. Amazon.com has it for about $10 depending on what kind of copy you want. Retail price is $16.95.
Novice level
1.Bobby Fischer Teaches Chess
y-Fischer-Teaches-Chess/dp/0553263153/ref=sr_1_1?ie=UTF8&s=books&qid=1243966609&sr=8-1
2. Gary's adventures in Chess Country
s-Adventures-Chess-Country-Sukhin/dp/0979148227/ref=sr_1_1?ie=UTF8&s=books&qid=1243966642&sr=1-1
3. Logical Chess Move By Move
cal-Chess-Every-Explained-Algebraic/dp/0713484640/ref=sr_1_1?ie=UTF8&s=books&qid=1243966779&sr=1-1
Intermediate Level
1. Everything by Coakley
f=nb_ss_b?url=search-alias%3Dstripbooks&field-keywords=coakley+chess
2. Best Lessons of a Chess Coach
ons-Chess-Coach-Sunil-Weeramantry/dp/0812922654/ref=sr_1_1?ie=UTF8&s=books&qid=1243966966&sr=1-1
3. Chess Fundamentals
blancas-Chess-Fundamentals-J-R-Capablanca/dp/B000O55VNW/ref=sr_1_5?ie=UTF8&s=books&qid=1243967155&sr=1-5
Advanced
1. My 60 memorable games
emorable-Games-Bobby-Fischer/dp/190638830X/ref=sr_1_1?ie=UTF8&s=books&qid=1243968467&sr=1-1
2. Practical Chess Exercises
tical-Chess-Exercises-Lessons-Strategy/dp/1587368013/ref=sr_1_1?ie=UTF8&s=books&qid=1243968511&sr=1-1
and i'd also recommend a book that covers all levels for the endgame -
Silman's endgame course
ans-Complete-Endgame-Course-Beginner/dp/1890085103/ref=sr_1_1?ie=UTF8&s=books&qid=1243967111&sr=1-1
and an opening reference book
rn-Chess-Openings-15th-Firmian/dp/0812936825/ref=sr_1_1?ie=UTF8&s=books&qid=1243967464&sr=1-1