Table of contents for Prime obsession : Bernhard Riemann and the greatest unsolved problem in mathematics / John Derbyshire.


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Prologue  ................................................ix

                          Part I
                The Prime Number Theorem

 1 Card Trick  .......................................... 3
 2 The Soil, the Crop ................................... 19
 3 The Prime Number Theorem  ......................... 32
 4 On the Shoulders of Giants .......................... 48
 5 Riemann's Zeta Function ............................. 63
 6 The Great Fusion .................................. 82
 7 The Golden Key, and an Improved
      Prime Number Theorem ........................... 99
 8 NotAltogether Unworthy .......................... 118
 9 Domain Stretching ................................. 137
 10 A Proof and a Turning Point ......................... 151




                          Part II
                  The Riemann Hypothesis

11  Nine Zulu Queens Ruled China ................... ... 169
12  Hilbert's Eighth Problem ............................ 184
13  The Argument Ant and the Value Ant ................. 201
14  In the Grip of an Obsession ......................... 223
15  Big Oh and Mobius Mu ............................. 238
16  Climbing the Critical Line ........................... 252
17  A Little Algebra .................................... 265
18  Number Theory Meets Quantum Mechanics ........... 280
19  Turning the Golden Key .................. .......... 296
20  The Riemann Operator and Other Approaches .......... 312
21  The Error Term .................................... 327
22  Either It's True, or Else It Isn't ........................ 350

Epilogue ............................................. 362

Notes .....................   .......................... 365

Appendix: The Riemann Hypothesis in Song .............. 393

Picture  Credits  ......................................... 405

Index .........    ..   .............................  407





Library of Congress Subject Headings for this publication: Numbers, Prime, Series, Riemann, Bernhard, 1826-1866