This book sucks. I don't know why colleges and universities use crappy books more often than not. Despite its title, the book doesn't actually bother explaining what the heck is discrete mathematical structures - how it came about, why it is important, what is it used for... It just dives into topics in a confusing manner. The questions asked are sometimes unrelated to the subject material and the answers given at the back at sometimes wrong. What's the point of reading a book and then having to research other books to find out what this book is trying to say and double-checking its answers?
Well, I guess it sounds like a good book for a first semester in a Computer Science class(?) At least, this was my case. In truth, I had a pretty good time learning that subject, it was really fun. But science is not only made of "fun" (or having fun, I would say). It has to have some type of formalism; but being too strict with definitions cannot help but to confuse us. So... Firstly, it does not clearly gives the reader an idea of what might be a "discrete mathematical structure"; and, yet, this definition is almost essential for understanding some of the next subjects through out the course. Second, although pretty "mathematical", I would say that does not help if the author cannot explain the concepts in a way that the student can have a grasp of what he is actually talking about (most of my colleagues had a bad time reading it). Some algorithms are just thrown into the pages, there are sections that don't even have a connection with the next or the previous one, or both. Third, lacks spatial organization and graphical content. It surely could use a few more pictures to give a better feeling to the reader; it also, just to finish my point in the last paragraph, is badly organized; sometimes the context ir entirely switched between chapters.
I don't actually know what was the author intention. I would say this a book to be read for someone who really likes Math, or is just doing a CS major degree; it can be damn difficult to decipher what the text is saying sometimes. Would recommend? Just if you want to specifically study Discrete Math, because I don't know about any other books about the topic.