As per Paul Halmos one can’t really write a good calculus book as taught in US schools, since there is no single subject corresponding to calculus. One needs to study series, (and other subjects I can’t really list now).
I was thoroughly confused when I found out how the US high school math curriculum is structured. To this day I can't remember what the hell is "precalculus". In my country I had separate textbooks on: functions; equations and inequalities; sequences and series; planimetry; stereometry; goniometry; analytical geometry; combinatorics, statistics and probability; complex numbers; mathematical analysis. Every time I refresh my knowledge on what "precalculus" is I promptly forget it again because it doesn't correspond to any of the fields that we were taught and that I'm used to think in terms of.
I’m not sure which of his books I read it in..