Now that the field axioms have been established, we can formally define the rational numbers. Most elementary school students refer to them as “fractions.” You can read this lesson here.

Now that the field axioms have been established, we can formally define the rational numbers. Most elementary school students refer to them as “fractions.” You can read this lesson here.

Have you read Landau’s “Foundations of Analysis”? This is a classic text (from the early 1900’s) that starts with the integers and goes through the real and complex numbers.

No, I haven’t. I’m writing February’s entry now, but I’m still looking for the exact route I’ll use to get to complex.

It’s available from Amazon and other places. Reading it would save you a lot of work.

I’ll try to track it down. The work researching these lessons is half the fun for me, though. ;)