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

By: Material type: TextTextPublication details: A Plume Book 2003Description: xv, 422 pages : illustrations, portraits ; 21 cmISBN:
  • 9780452285255
Subject(s): DDC classification:
  • 512.72 DER-P
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.
Summary: 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.
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Holdings
Item type Current library Home library Call number Status Date due Barcode
Book Book Dept. of Computational Biology and Bioinformatics Processing Center Dept. of Computational Biology and Bioinformatics 512.72 DER-P (Browse shelf(Opens below)) Available DCB1738

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.

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.

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