After skimming through it a bit, and as a CS student, this looks like an excellent introduction to the theory of computer science, especially for someone with no background in it. It corresponds with what I would expect a first or second year university course on Computer Science would cover. After reading some of this, if you're still interested in this sort of thing, the rather infamous Introduction to Algorithms published by MIT press may be a good next step. PDFs can be found online with a bit of digging.

Here's the Prerequisites section:

Students taking courses based on this book have ranged from first-year undergraduates to graduate students. We assume only that students have had a solid course in programming. They should be familiar with the programming language ANSI C to use this edition. In particular, we expect students to be comfortable with C constructs such as recursive functions, structures, pointers, and operators involving pointers and structures such as dot, ->, and &.