Good reference book for quadratic integer rings?

Question

Could anyone direct me to a good reference book(s) for quadratic integer rings? Ideally, the reference would begin with their elementary properties and then proceed through their ring-theoretic properties: for example, which quadratic integer rings are PIDs, which are UFDs, which are EDs, and which are multi-stage EDs. Also, if the reference could connect the subject material to elementary number theory that would be splendid. For example, connecting the primes of $\Bbb Z[i]$ with the primes of $\Bbb Z$ and solutions to Pell's Equation.

I've only read about these rings through books whose main purpose was to introduce the the fundamentals of abstract algebra, and I want a more specialized reference.

Any input is appreciated.

Answer 1

Pierre Samuel's "Algebraic Theory of Numbers" is a standard reference for this kind of questions.

Answer 2

Stewart and Tall, Algebraic Number Theory, doesn't do everything you want, but does quite a lot of it.

Answer 3

Ireland and Rosen's book A classical Introduction to Modern Number Theory