Chapter Seven. Euler’s Wonderful Identity

Kapitel in diesem Buch

1. Frontmatter i
2. Contents ix
3. Foreword xv
4. Acknowledgements xvii
5. Introduction xix
6. Chapter One. The Logarithmic Cradle 1
7. Chapter Two. The Harmonic Series 21
8. Chapter Three. Sub-Harmonic Series 27
9. Chapter Four. Zeta Functions 37
10. Chapter Five. Gamma’s Birthplace 47
11. Chapter Six. The Gamma Function 53
12. Chapter Seven. Euler’s Wonderful Identity 61
13. Chapter Eight. A Promise Fulfilled 65
14. Chapter Nine. What Is Gamma . . . Exactly? 69
15. Chapter Ten. Gamma as a Decimal 81
16. Chapter Eleven. Gamma as a Fraction 91
17. Chapter Twelve. Where Is Gamma? 101
18. Chapter Thirteen. It’s a Harmonic World 119
19. Chapter Fourteen. It’s a Logarithmic World 139
20. Chapter Fifteen. Problems with Primes 163
21. Chapter Sixteen. The Riemann Initiative 189
22. Appendix A. The Greek Alphabet 217
23. Appendix B. Big Oh Notation 219
24. Appendix C. Taylor Expansions 221
25. Appendix D. Complex Function Theory 225
26. Appendix E. Application to the Zeta Function 249
27. Name Index 259
28. Subject Index 263