## A Number for your Thoughts: Facts and Speculations About Numbers from Euclid to the Latest ComputersWhy do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Counting | 1 |

The Search for Prime Numbers | 10 |

The World Record Holders | 19 |

The Distribution of Primes | 25 |

Prime Races Emirps and More | 33 |

The Baffling Law of Benford | 43 |

What is so Special about 6174? | 53 |

Number Patterns and Symmetries | 62 |

Magic Squares and Cubes | 117 |

How can Anything so Simple be so Difficult? | 124 |

Nearly All Numbers are Insane | 132 |

Cyclic Numbers and their Secret | 141 |

Pi a Transcendental Number | 152 |

Most Numbers are Normal but its Tough to Find One | 161 |

A Different Way of Counting Geometric Numbers | 169 |

Two Dimensional Numbers | 179 |

Numbers Perfect Friendly and Weird | 71 |

How do These Series End? | 86 |

Fermats Legendary Last Theorem | 94 |

Shapely Numbers and Mr Waring | 103 |

Counting the Infinite | 189 |

Update September 1985 | 200 |

### Common terms and phrases

actually adding addition algebraic already amicable answer appear arithmetic base begin called century chapter complex concerning Consider contain continued counting cubes cycling decimal defined difficult digits divisible divisors equal equation established exactly example exist expressed fact Fermat Figure finally finite number follows four fraction geometric give given groups hand hundred infinite infinity integers interest involving irrational kind known larger largest least less look magic mathematical mathematicians means Mersenne method multiplied namely obviously original pair palindromic particular pattern perfect numbers perhaps places positive possible prime numbers problem proof prove question rational regular remains repeating result rule seems sequence shown side simple smaller smallest solutions square starting symbol Table tested theorem true turn write zero

### References to this book

GAMMA: Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung Julian Havil Limited preview - 2007 |