I see two sides: the numericals and the algebraists.

I've talked with people who also see these two sides but call them differently.

As I see it, this book is closer to the algebraists side. Thus, you probably lean closer to the nuemerical side.

I also like to think about it as the Turing perspective (numerical, algorithmic) and the Chruch outlook, which is more algebraic-symbolic.

At the end of the day, it's both "contrasting" viewpoints coming together that truly animates the science of computing.