Is there a use for burnt books or magazines?
Seems like they cannot be used for anything as of now. Some people speculate that it can become useful in some mods.
They take up space in return for some resources:
Vendor Trash: "Burnt stuff is just vendor trash"
Just for deco, possibly for mods: "According to Survival guide, it's for deco at the moment."
Point 6: "Free caps or free resources": "On that note, anything that doesn't have any weight should be picked up immediately, like pencils, pre-war money, and even burnt magazines. All of these are either free caps or just free resources."
Steam community : "You can trade them, but you'll only get something like a single bottlecap each."
All of these links (apart from the second) state that the burnt items are not of any use. The second one states that it's just deco and that they might somehow be used by mods in the future.
The overdue books can be returned for tokens. The Tokens can be used to buy stimpaks and other goodies at one particular place near the northagen settlement (or whatever it's called). The rest are just for show. Books are worthless but the burnt mags can be sold for one bottlecap each.