Book:John Derbyshire/Prime Obsession

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