I studied on 'Neuroscience' (D. Purves and others). I liked the book, even if it did not cover all possible topics. Looking on Amazon, it seems that newer editions have 300 pages more (around 900), so probably they added new chapters.
If you want a more comprehensive book, try 'Principles of Neural Science' (E. Kandel and others). I did not study on it, but used it as a reference work.
You can also try 'From Neuron to Brain' (J. Nicholls and others). It is probably more introductory than the other two, but I cannot say for sure. I've followed Nicholls' lectures a few years ago and received copies of some pages of his book as handouts. They seemed well written, and the man is super nice, but this is all I can say about the book.