Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics.JOHN DERBYSHIRE
Nearly 150 years ago, Bernhard Riemann Noun 1. Bernhard Riemann - pioneer of non-Euclidean geometry (1826-1866) Georg Friedrich Bernhard Riemann, Riemann posed a deceptively simple question to his peers at the Berlin Academy: Is there a general rule for figuring out how many prime numbers There are infinitely many prime numbers. The first 500 are listed below, followed by lists of the first prime numbers of various types in alphabetical order. The first 500 prime numbers 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 there are up to a given number? Three years ago, the Clay Institute agreed to award a million dollars to the person who can prove Riemann's hypothesis, which states that there is such a general rule. Derbyshire provides the historical background of the Riemann hypothesis There is also the Riemann hypothesis for curves over finite fields. The Riemann hypothesis (also called the Riemann zeta-hypothesis), first formulated by Bernhard Riemann in 1859, is one of the most famous and important unsolved problems in mathematics. and, for mathematically inclined readers, details of efforts to prove it so far. He also explains the impact that any solution to this problem will have on cryptography and other areas. Alternating between telling Riemann's life story and presenting a mathematical primer on the elements of his hypothesis, Derbyshire elegantly explores a vexing topic. Joseph Henry Pr, 2003, 422 p., b&w plates, hardcover, $27.95. |
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