History books can and should be easily readable. Unless it's dealing with a very particular subject in a very particular book written exclusively for experts, the people looking for these books are probably not very familiar with this subject and are trying to educate themselves on it. I tend to think that that's a very noble endeavor, and as a result, I look down upon poorly written history books as being more than failures of literature, but as being pathetic in a deeper way.
All of this is an overwrought way of saying that A Short History of the Movies is a dull and often difficult to read tome that does a rather poor job of introducing film students or the general public to film history. The first few chapters go extremely in-depth into the technological history of film, which taught me a lot that I didn't know, but that level of detail is only repeated in the final two chapters about digital cinema; as a result, the book feels unbalanced, and much of its length felt to me like fluff. Partisan editorializing towards certain movies and the unexpectedly large number of factual inaccuracies didn't endear me to the book either.
I've read better general film history books and I will likely read more in the future. Until then, I can only warn you to avoid the reanimated corpse of Gerald Mast's book, saved from blissful obsolescence and kept in print by that pedagogical Doctor Frankenstein, Bruce F. Kawin.