Don't get me wrong - this is a 5 star book! It does what it claims to do - teach you C. However, let me tell you something: Don't learn C! I have over 15 years experience in C/C++, and let me say that if you want to learn a programming language, learn C++! Don't bother learning C. It will only confuse you.
It is like spending all of your time learning "A" language, while "B" language is the language that is stronger, and really is the first choice for professional programmers.
The key is, that learning C and then learning C++ is NOT the way to go. Although both languages seem the same, their thinking is different.
So, if you want to start learning a language, start learning C++. You WON'T waste your time learning all the stuff C requires, and then have to UNLEARN it to try to understand C++.
Why not go straight to the source. By the way, C++ is really not that much harder than C, it's just different.