Contents
Acknowledgments
Introduction
CHAPTER ONE
Greek Beginnings
CHAPTER TWO
The Route to Germany
CHAPTER THREE
Two New Irrationals
CHAPTER FOUR
Irrationals, Old and New
CHAPTER FIVE
A Very Special Irrational
CHAPTER SIX
From the Rational to the Transcendental
CHAPTER SEVEN
Transcendentals
CHAPTER EIGHT
Continued Fractions Revisited
CHAPTER NINE
The Question and Problem of Randomness
CHAPTER TEN
One Question, Three Answers
CHAPTER ELEVEN
Does Irrationality Matter?
APPENDIX A
The Spiral of Theodorus
APPENDIX B
Rational Parameterizations of the Circle
APPENDIX C
Two Properties of Continued Fractions
APPENDIX D
Finding the Tomb of Roger Apéry
APPENDIX E
Equivalence Relations
APPENDIX F
The Mean Value Theorem
Index