Math From Scratch 24: Defining the Rational Numbers

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.

4 replies on “Math From Scratch 24: Defining the Rational Numbers”

  1. 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.

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