Chapter 1. Greek Beginnings
Chapter 2. The Route to Germany
Chapter 3. Two New Irrationals
Chapter 4. Irrationals, Old and New
Chapter 5. A Very Special Irrational
Chapter 6. From the Rational to the Transcendental
Chapter 7. Transcendentals
Chapter 8. Continued Fractions Revisited
Chapter 9. The Question and Problem of Randomness
Chapter 10. One Question, Three Answers
Chapter 11. Does Irrationality Matter?
Appendix A. The Spiral of Theodoras
Appendix B. Rational Parameterizations of the Circle
Appendix C. Two Properties of Continued Fractions
Appendix D. Finding the Tomb of Roger Apery
Appendix E. Equivalence Relations
Appendix F. The Mean Value Theorem
