Book:John Derbyshire/Prime Obsession
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John Derbyshire: Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
Published $\text {2003}$, Plume
- ISBN 0-452-28525-9
Contents
- Prologue
- Part I: The Prime Number Theorem
- 1 Card Trick
- 2 The Soil, the Crop
- 3 The Prime Number Theorem
- 4 On the Shoulders of Giants
- 5 Riemann's Zeta Function
- 6 The Great Fusion
- 7 The Golden Key, and an Improved Prime Number Theorem
- 8 Not Altogether Unworthy
- 9 Domain Stretching
- 10 A Proof and a Turning Point
- Part II: The Riemann Hypothesis
- 11 Nine Zulu Queens Ruled China
- 12 Hilbert's Eighth Problem
- 13 The Argument Ant and the Value Ant
- 14 In the Grip of an Obsession
- 15 Big O and Möbius Mu
- 16 Climbing the Critical Line
- 17 A Little Algebra
- 18 Number Theory Meets Quantum Mechanics
- 19 Turning the Golden Key
- 20 The Riemann Operator and Other Approaches
- 21 The Error Term
- 22 Either It's True, or Else It Isn't
- Epilogue
- Notes
- Appendix: The Riemann Hypothesis in Song
- Picture Credits
- Index