Pi is Irrational (UMAP)

The purpse of this module is to prove that pi is irrational, and to discuss the fact briefly in the context of algebraic and transcendental numbers.

Table of Contents:

1. INTRODUCTION
1.1 Rational and Irrational Numbers
1.2 Decimal Representations

2. THE PROOF
2.1 Outline
2.2 Part One (K < 1)
2.3 Part Two (Integration)
2.4 Part Three (K is and Integer)

3. AN EXTENSION OF THE RESULT
3.1 Algebraic and Transcendental Numbers
3.2 Lindemann's Result