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

Format:

Book

Author/Creator:

Derbyshire, John.

Language:

English

Subjects (All):

Numbers, Prime.

Series.

Riemann, Bernhard, 1826-1866.

Riemann, Bernhard.

Physical Description:

xv, 422 pages, 8 pages of plates : illustrations, portraits ; 23 cm

Place of Publication:

Washington, D.C. : Joseph Henry Press, [2003]

Contents:

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 Not Altogether 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

Appendix The Riemann Hypothesis in Song 393.

Notes:

Includes bibliographical references and index.

ISBN:

0309085497

OCLC:

51478406