## The Riemann Hypothesis: The Greatest Unsolved Problem in MathematicsAn engaging, informative, and wryly humorous exploration of one of the great conundrums of all time In 1859 Bernhard Riemann, a shy German mathematician, wrote an eight-page article giving an answer to a problem that had long puzzled mathematicians. But he didn’t provide a proof. In fact, he said he couldn’t prove it but he thought that his answer was “very probably” true. From the publication of that paper to the present day, the world’s mathematicians have been fascinated, infuriated, and obsessed with proving the Riemann Hypothesis, and so great is the interest in its solution that in 2001 an American foundation put up prize money of $1 million for the first person to demonstrate that the hypothesis is correct. The hypothesis refers to prime numbers, which are in some sense the atoms from which all other numbers are constructed, and seeks to explain where every single prime to infinity will occur. Riemann’s idea—if true—would illuminate how these numbers are distributed, and if false will throw pure mathematics into confusion. Karl Sabbagh meets some of the world’s mathematicians who spend their lives thinking about the Riemann Hypothesis, focusing attention in particular on “Riemann’s zeros,” a series of points that are believed to lie in a straight line, though no one can prove it. Accessible and vivid, The Riemann Hypothesis is a brilliant explanation of numbers and a profound meditation on the ultimate meaning of mathematics. |

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#### LibraryThing Review

Procura do Utilizador - palaverofbirds - LibraryThingThe funny thing about this book, for me, is that it claims to simply be a study of how the Riemann Hypothesis has been scrutinized, fought over and beloved by mathematicians. It is not supposed to be ... Ler crítica na íntegra

#### THE RIEMANN HYPOTHESIS: The Greatest Unsolved Problem in Mathematics

Procura do Utilizador - KirkusBritish author Sabbagh (A Rum Affair, 2000, etc.) looks at a major unsolved problem in pure math and the men working to solve it.In 1859, the German mathematician Bernard Riemann stated his solution ... Ler crítica na íntegra

### Índice

Prologue | 3 |

Prime Time | 13 |

Gorgeous stuff | 30 |

New Numbers for Old | 46 |

Indian Summer | 63 |

Very probably | 85 |

Proofs and Refutations | 104 |

The Bieberbach Conjecture | 116 |

A Laudable Aim | 188 |

No simple matter | 202 |

Taking a Critical Line | 214 |

Abstract Delights | 231 |

Discovered or Invented? | 249 |

Whats it all about? | 263 |

TOOLKITS | 277 |

The Euler Identity | 292 |

In Search of Zeros | 132 |

The Princeton Tea Party | 148 |

A Driven Man | 163 |

The Physics of Mathematics | 177 |

De Brangess Proof | 311 |

Further Reading | 327 |

### Outras edições - Ver tudo

The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics Karl Sabbagh Pré-visualização indisponível - 2004 |

### Palavras e frases frequentes

actually answer asked atoms believe Branges calculations called complex numbers Conjecture Connes critical curve described difficult discovered entire equal equation example explained expression fact field Figure formula fractions give happen Hardy idea important infinite infinity interesting it's known later lecture less lives logarithm look math mathematicians mathematics matrices means method mind multiply nature never number theory particular physics plane positive possible prime numbers problem produce proof prove quantum mechanics question random result Riemann Hypothesis Riemann zeta function root seems sense side solution solved sometimes space square started step story talk Theorem theory there's things thought tion told true trying turned understand University whole numbers write written wrote zeros

### Referências a este livro

The Equation that Couldn't Be Solved: How Mathematical Genius Discovered the ... Mario Livio Pré-visualização limitada - 2005 |