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9780309085496: Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

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JOHN DERBYSHIRE is a contributing editor for National Review, where he writes a regular column. He also contributes regularly to National Review Online and writes frequently for a number of other publications, including the Wall Street Journal, the American Conservative, the Washington Examiner, and the New Criterion. In addition to his opinion journalism, he writes on the subject of mathematics and is the author of the books Prime Obsession and Unknown Quantity. His novel, Seeing Calvin Coolidge in a Dream, was chosen as a New York Times Notable Book of the Year. A native of England, Derbyshire now lives on Long Island, New York, with his wife and two children.

Présentation de l'éditeur

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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9780452285255: Prime Obsession: Berhhard Riemann and the Greatest Unsolved Problem in Mathematics

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ISBN 10 :  0452285259 ISBN 13 :  9780452285255
Editeur : Penguin Publishing Group, 2004
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black full buckram cloth hardcover 8vo. (octavo). dustwrapper in protective plastic book jacket cover. very fine cond. mint cond. looks new. like new. as new. binding square & tight. covers clean. edges clean. contents free of markings. dustwrapper in fine cond. not worn or torn or price clipped. nice clean copy. no library markings, store stamps, stickers, bookplates, no names, inking, underlining, remainder markings etc~. first edition. 8th printing. decorative title pg. xv+422p. 8 b&w photo plates. b&w diagrams & illustrations throughout. appendix. notes. index. biography. mathematics. philosophy. history of science. ~ In August 1859 Bernhard Riemann, a little~known 32~year~old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark~a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic~defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark~the Riemann Hypothesis~ that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant at work~subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many~ the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. 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. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof~and those who have been consumed by it. N° de réf. du vendeur 2082402

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