4 - Irrational Numbers

Table of contents

• 4.1 Some Generalities
• 4.2 Numbers Known to be Irrational
• 4.3 The Theorem of Pythagoras and its Generalisations
• 4.4 The Use of the Fundamental Theorem in the Proofs of Theorems 43-45
• 4.5 A Historical Digression
• 4.6 Geometrical Proofs of the Irrationality of \sqrt 2 and \sqrt 5
• 4.7 Some More Irrational Numbers

4.1 Some Generalities

4.2 Numbers Known to be Irrational

4.3 The Theorem of Pythagoras and its Generalisations

4.4 The Use of the Fundamental Theorem in the Proofs of Theorems 43–45

4.5 A Historical Digression

4.6 Geometrical Proofs of the Irrationality of $\sqrt{2}$ and $\sqrt{5}$

4.7 Some More Irrational Numbers