Real Numbers

Quick Summary

This chapter covers the fundamental concepts of real numbers, including Euclid's division lemma and the fundamental theorem of arithmetic.

Introduction to Real Numbers

Real numbers are the set of numbers containing all of the rational numbers and all of the irrational numbers...

Euclid's Division Lemma

Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.