Book:Karl Sabbagh/Dr. Riemann's Zeros

Contents

 * ACKNOWLEDGEMENTS
 * THE MATHEMATICIANS
 * A NOTE ABOUT THE TOOLKITS
 * PROLOGUE


 * 1 Prime time
 * 2 'Gorgeous stuff'
 * 3 New numbers for old
 * 4 Indian summer
 * 5 'Very probably'
 * 6 Proofs and refutations
 * 7 The Bieberbach Conjecture
 * 8 In search of zeros
 * 9 The Princeton tea party
 * 10 A driven man
 * 11 The physics of mathematics
 * 12 A laudable aim
 * 13 'No simple matter'
 * 14 Taking a critical line
 * 15 Abstract delights
 * 16 Discovered or invented?
 * 17 'What's it all about?'


 * TOOLKITS
 * 1 Logarithms and exponents
 * 2 Equations
 * 3 Infinite series
 * 4 The Euler identity
 * 5 Graphs in maths
 * 6 Matrices and eigenvalues


 * ENDNOTES
 * APPENDIX: DE BRANGES'S PROOF
 * FURTHER READING
 * INDEX