Construction of number systems

Question

I would like to get a book on set theory that presents the construction of number systems so that one really has: $\Bbb N$ contained in $\Bbb Z$, $\Bbb Z$ contained in $\Bbb Q$, $\Bbb Q$ contained in $\Bbb R$, $\Bbb R$ contained in $\Bbb C$. (As usual, $\Bbb N$ denotes the set of natural numbers, $\Bbb Z$ the set of integers, $\Bbb Q$ the set of rational numbers, $\Bbb R$ the set of real numbers, $\Bbb C$ the set of complex numbers.) It seems to me that such a construction is presented in Solomon Feferman's Number Systems - Foundations of Algebra and Analysis. I ask for help.