Book:Karl Sabbagh/Dr. Riemann's Zeros

Karl Sabbagh: Dr. Riemann's Zeros

Published $\text {2002}$, Atlantic Books

ISBN 1-84354-101-7

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