My favorite publishing neurologist is Oliver Sacks who's written very readable books on various neurological case studies. Don't worry, it's not too heavy on jargon, but it's enlightening to read and realize the many different ways our brains work (and occasionally don't work). He goes into great narrative detail about the ways in which people deal with and adapt to their conditions while at the same time illuminating how the human brain manages matters of perception, memory and the idea of the self.
He has his critics, though. Some people have accused him of exploiting his patients in order to write about them. I disagree; I think his books are more about being informative than entertaining.