This text is the good control systems textbook model to learn from, as an author. Nise is made for undergraduates to master control systems concepts in both state-space and transform domains. Generally, it lacks a lot of details in state-space area; it is almost a complete coverage of classical control basic concepts.
The organization of the text is not just good. It makes this text more like the only well organized text you ,may, find every 10 texts you read!
However, the text assumes you have a background in the basic differential equations and laplace transform. It connects the mathematics you know with the system model in an outstanding way that really make you visualize the system dynamics just perfectly! Surly, that depends, somehow, on the reader's motivation toward learning the concept. Although the text doesn't cover thoroughly the state-space approach, it connects both domains in your mind that make you able to see the system poles in the time domain! You are absolutely right to say 'So what!, I know all about Eignvalues and eigenvectors!', it shows you it if you don't. So, if you do know the subject well then maybe you shouldn't buy this introductory level text at all!
The bottom line is: I strongly recommend this text for classical control systems course during the undergraduate level. However, I would only recommend to use it in the state-space course as a supplementary text besides some good state-space text like Brogan.