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Chapter Ten. One Question, Three Answers
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Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Acknowledgments ix
- Introduction 1
- Chapter one. Greek Beginnings 9
- Chapter Two. The Route to Germany 52
- Chapter Three. Two New Irrationals 92
- Chapter Four. Irrationals, Old and New 109
- Chapter Five. A Very Special Irrational 137
- Chapter Six. From the Rational to the Transcendental 154
- Chapter Seven. Transcendentals 182
- Chapter Eight. Continued Fractions Revisited 211
- Chapter Nine. The Question and Problem of Randomness 225
- Chapter Ten. One Question, Three Answers 235
- Chapter Eleven. Does Irrationality Matter? 252
- Appendix A. The Spiral of Theodorus 272
- Appendix B. Rational Parameterizations of the Circle 278
- Appendix C. Two Properties of Continued Fractions 281
- Appendix D. Finding the Tomb of Roger Apéry 286
- Appendix E. Equivalence Relations 289
- Appendix F. The Mean Value Theorem 294
- Index 295
Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Acknowledgments ix
- Introduction 1
- Chapter one. Greek Beginnings 9
- Chapter Two. The Route to Germany 52
- Chapter Three. Two New Irrationals 92
- Chapter Four. Irrationals, Old and New 109
- Chapter Five. A Very Special Irrational 137
- Chapter Six. From the Rational to the Transcendental 154
- Chapter Seven. Transcendentals 182
- Chapter Eight. Continued Fractions Revisited 211
- Chapter Nine. The Question and Problem of Randomness 225
- Chapter Ten. One Question, Three Answers 235
- Chapter Eleven. Does Irrationality Matter? 252
- Appendix A. The Spiral of Theodorus 272
- Appendix B. Rational Parameterizations of the Circle 278
- Appendix C. Two Properties of Continued Fractions 281
- Appendix D. Finding the Tomb of Roger Apéry 286
- Appendix E. Equivalence Relations 289
- Appendix F. The Mean Value Theorem 294
- Index 295