The library at LSE is pretty big [depending on what you compare it to], and it’s a decent place to study. The entry barriers limit access to LSE/University of London students, although they do offer visitor passes as well. During term time, and especially during exams in May/June, the library does fill up, so you will need some patience to find an empty study space, and lots of luck to find an empty computer terminal. I find the elevators are slow and inconvenient. The large spiraling staircase in the middle of the library is somewhat awkward to walk up and down, but it does offer some nice views of the whole library.