# real numbers (under construction)

## Summary

-No Summary-

## Notes

This concept is still under construction.

## Context

-this concept has no prerequisites-

## Goals

- Motivate the need for the reals by showing that the square root of 2 is irrational

- Know what the least upper bound property refers to

- Using the least upper bound property, show that there exists a real number x such that x^2 = 2

## Core resources (read/watch one of the following)

## -Paid-

→ Principles of Mathematical Analysis

A classical undergraduate analysis textbook.

Location:
Chapter 1, "The real and complex number systems," up through subsection "The real field," pages 1-11

## See also

-No Additional Notes-