No, I wouldn't, unless I had to in order to survive or something. Say, if I was in a situation like in The Day After Tomorrow. In general, I find books pretty damn important. I hate even dropping a book, I always feel a little guilty. Maybe it's down to the fact that I worked in my school library for almost seven years during my younger years, and I've always been an avid reader. But no, unless I had to, I would never burn a book.
Side note, I felt so disgusted at the arc villain in the AC2 DLC, Bonfire of the Vanities. It actually made me really want to kill the guy after I saw all the fictional in-game books being burned in piles... the first game did the same for me with that 'scholar' Templar too...