Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
Material type: TextPublication details: A Plume Book 2003Description: xv, 422 pages : illustrations, portraits ; 21 cmISBN:- 9780452285255
- 512.72 DER-P
Item type | Current library | Home library | Call number | Status | Date due | Barcode | |
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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 |
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512.5 STR-I Introduction to Linear Algebra | 512.5 TOW-G Guide To Linear Algebra | 512.7 CLA-M Mathematical Mysteries : The beauty and magic of numbers | 512.72 DER-P Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics | 512.74 SIN-F Fermat's Last Theorem | 512.9434 NAR-T Textbook of Matrices | 513 SEI-Z Zero: The Biography of a Dangerous Idea |
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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