Kernighan and Ritchie "The C Programming Language" 1988
What a great book! Good call Simon.One book I like is "Expert C Programming" by Peter van der Linden
I was a C programmer before C++ so will try to answer any specific question.
Be aware that K&R C is not standard C, though it is worth reading K&R because of the insights it gives, and because some interview questions are based upon it, especially Bloomberg.