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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Detalles Bibliográficos
Autor principal: John Derbyshire
Formato: Printed Book
Publicado: A Plume Book 2003
Materias:
Riemann, Bernhard, > 1826-1866. Riemann, Bernhard, > 1826-1866 Numbers, Prime.
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100 |a John Derbyshire 
245 |a Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics 
260 |b A Plume Book  |c 2003 
300 |a  xv, 422 pages : illustrations, portraits ; 21 cm 
505 |a 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. 
520 |a 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 Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. 
650 |a  Riemann, Bernhard, -- 1826-1866. Riemann, Bernhard, -- 1826-1866 Numbers, Prime.  
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