I think the book is seen more of as a complementary thing to the teacher, not something you're expected to read and understand on your own (unless you're really smart). They give you the cold hard theory, exercises with little explanation and wish you off after that.

I'm from Eastern Europe and studied a bit of math in undergrad and I referenced mostly from American books as everything else was just terrible to learn from. I even read a portion of Spivaks Calculus, which was difficult but great.