Prime obsession : Bernhard Riemann and the greatest unsolved problem in mathematics /
John Derbyshire
- Washington, DC : Joseph Henry Press, �2003.
- xv, 422 p. : illu. ; 23 cm.
Includes index.
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.