I'd suggest Siegbert Tarrasch's The Game of Chess he teaches
the elements, the end game, the middle game, lastly the opening.
He starts off with just a few pieces in very simple positions that you
commit to memory then he moves on to the end game, the middle
game and then the opening he explains the game very clearly he
is one of the best chess teacher who ever lived.
If you get this book get the descriptive notation version below it's Tarrasch's work as he intended it they updated it with an algebraic version but the guys who did the update ruined his book so avoid
that one.
http://www.amazon.com/Game-Chess-Siegber…
If you study Tarrasch's book really really well you will be a much better, player I know because I study the book myself and it's made a huge improvement in my play and rating I've gone from 1300 strength to 1800 rating.
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