Okay, I think I'm making some headway. if I'm understanding this correctly, the book is calculating c_{1}, c_{2},c_{3},c_{4},c_{5} first with the assumption that c_{0} = 1 ; c_{1} = 0 then with the assumption that c_{0} = 0 ; c_{1} = 1. The 1 is coming from the fact that the book is assigning...