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Prime Obsession: Berhhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) by John Derbyshire [Dr Soc]

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  John Derbyshire, “Prime Obsession:
Berhhard Riemann and the Greatest Unsolved Problem in Mathematics”
  Joseph Henry Press | April 23, 2003
| ISBN: 0309085497 | PDF | 422 pages | 8 MB
  
  Bernhard Riemann was an underdog of sorts, a malnourished son
of a parson who grew up to be the author of one of mathematics' greatest problems. In Prime Obsession, John Derbyshire
deals brilliantly with both Riemann's life and that problem: proof of the conjecture, "All non-trivial zeros of the zeta
function have real part one-half." Though the statement itself passes as nonsense to anyone but a mathematician,
Derbyshire walks readers through the decades of reasoning that led to the Riemann Hypothesis in such a way as to clear
it up perfectly. Riemann himself never proved the statement, and it remains unsolved to this day. Prime Obsession offers
alternating chapters of step-by-step math and a history of 19th-century European intellectual life, letting readers take
a breather between chunks of well-written information. Derbyshire's style is accessible but not dumbed-down, thorough
but not heavy-handed. This is among the best popular treatments of an obscure mathematical idea, inviting readers to
explore the theory without insisting on page after page of formulae.
  
  In 2000, the Clay Mathematics
Institute offered a one-million-dollar prize to anyone who could prove the Riemann Hypothesis, but luminaries like David
Hilbert, G.H. Hardy, Alan Turing, André Weil, and Freeman Dyson have all tried before. Will the Riemann Hypothesis
ever be proved? "One day we shall know," writes Derbyshire, and he makes the effort seem very worthwhile. –
Therese Littleton
  
  
  
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