Mathematical Recreations and EssaysCourier Corporation, 1987年1月1日 - 428 頁 This 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. |
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 |
其他版本 - 查看全部
常見字詞
angle answer arrangement asked calculating called cards cells centre cipher circle colours column consider consists construction contains corresponding counters cube denoted described determined diagonal difficulty digits districts divide edges edition equal equivalent example faces fact figure final five four geometrical geometry give given Hence illustrations indicated instance interesting involve known less letters lines London magic square Mathematics mentioned method move multiple namely nodes Note obtained once original pack pair path pieces pile placed plane points polygon position possible powers prime problem proved PUZZLES queens questions regular remaining represented result ring route rule selected side similar solution square steps successive suppose symbols taken theorem theory third tion triangle vertex vertices