What books increase skills?
There is a lot of books, I'm only interested in them for skills.
How to know what books will give you any skill?
Agree with above most books worth 25+ septums will have a chance at leveling a skill. (this is the same as it was in oblivion although the books tend to be worth less IMO) and it never hurts to try also if your a thief and you know about shadowmarks I have found many marked contain a book
In short you can't. A certain rule of thumb might be that the more expensive book, the more likely it is to level you up. No guaranteed approach though. You should just go opening+closing the interesting books