The Zayed library is open most days, though some opening times are for women only, or men only. It is the biggest library in Al Ain, but the books there are much older than in the other 2 libraries here, and it is better as a source of reference material rather than for casual reading.
I liked this camel opposite the entrance (there are many of these around Al Ain)…
There is also excellent media library containing documentaries and courses on DVD and CD-ROM which you can watch on the computers in the media room.