Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled "On the Number of Prime Numbers Less Than a Given Quantity." Today, after 150 years of careful research and exhaustive study, the Riemann H...

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Bibliographic Details
Main Author: John Derbyshire
Format: Printed Book
Published: A Plume Book 2003
Subjects:
Riemann, Bernhard, > 1826-1866. Riemann, Bernhard, > 1826-1866 Numbers, Prime.
Table of Contents:
  • Part I. The prime number theorem. Card trick
  • The soil, the crop
  • The prime number theorem
  • On the shoulders of giants
  • Riemann's zeta function
  • The great fusion
  • The golden key, and an improved prime number theorem
  • Not altogether unworthy
  • Domain stretching
  • A proof and a turning point. Part II. The Riemann hypothesis. Nine Zulu queens ruled China
  • Hilbert's eighth problem
  • The argument ant and the value ant
  • In the grip of an obsession
  • Big oh and Mobius Mu
  • Climbing the critical line
  • A little algebra
  • Number theory meets quantum mechanics
  • Turning the golden key
  • The Riemann operator and other approaches
  • The error term
  • Either it's true, or else it isn't.

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