The Fremont Main Library is a good library on the whole. it's pretty big (2 floors) with a lot of space/tables to sit and study. There is a sizable kids section with a good selection of books, study rooms, and even internet stations. I was able to find a number of book for my research paper on Charles Ives there so the selection is quite good there. The one downside that was that for the more popular books like Harry Potter or the Da Vinci code the waiting list/queue is quite long - I ended up getting it from a different library.
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