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Prime obsession: Bernhard Riemann and the greatest unsolved problem in mathematics

Author: Derbyshire, John Publisher: Plume, 2004.Language: EnglishDescription: 422 p. : Ill./Photos ; 20 cm.ISBN: 9780452285255Type of document: BookBibliography/Index: Includes bibliographical references and index
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Item type Current location Collection Call number Status Date due Barcode Item holds
Book Europe Campus
Main Collection
Print QA93 .D47 2004
(Browse shelf)
001194889
Available 001194889
Total holds: 0

Includes bibliographical references and index

Digitized

Prime Obsession Bernhard Riemann and the Greatest Unsolved Problem in Mathematics Contents 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 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 Epilogue ......................................................................................... 362 Notes ............................................................................................... 365 Appendix: The Riemann Hypothesis in Song ................................ 393 Picture Credits ................................................................................ 405 Index ............................................................................................... 407

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