## Mathematical Recreations and EssaysThis classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" ? The Mathematics Teacher. Index. References for Further Study. Includes 150 black-and-white line illustrations. |

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### 內容

ARITHMETICAL RECREATIONS | 3 |

Four fours problem | 16 |

Nim and similar games | 36 |

Bachets weights problem | 50 |

Rational rightangled triangles | 57 |

Mersenne numbers | 64 |

Galois fields | 73 |

Geometrical paradoxes | 84 |

Magic squares of a singlyeven order | 196 |

Magic squares of nonconsecutive numbers | 210 |

Unbounded surfaces | 232 |

Number of ways of describing a unicursal figure | 250 |

Dragon designs | 266 |

COMBINATORIAL DESIGNS | 271 |

Kirkmans schoolgirl problem | 287 |

Lines in higherdimensional space | 303 |

Cyclotomy | 94 |

Addendum on a solution | 102 |

Dynamical games of position | 116 |

Paradromic rings | 127 |

POLYHEDRA | 130 |

The Archimedean solids | 136 |

The KeplerPoinsot polyhedra | 144 |

Regular sponges | 152 |

CHESSBOARD RECREATIONS | 162 |

The eight queens problem | 172 |

MAGIC SQUARES | 193 |

The Tower of Hanoi | 316 |

The window reader | 333 |

The trisection of an angle | 344 |

CALCULATING PRODIGIES | 360 |

Bidder 18061878 | 367 |

Safford 18361901 | 374 |

Alexander Craig Aitken | 386 |

Transposition systems | 391 |

Substitution systems | 402 |

Determination of cryptographic system | 414 |

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### 常見字詞

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