Magic Tricks, Card Shuffling and Dynamic Computer MemoriesMAA, 1998 M06 11 - 148 páginas Here is a book that explores the fascinating interconnections between three seemingly unrelated topics. The reader need have no specialist mathematical background to follow the text beyond high school mathematics, which makes it suitable for budding magicians and students of all ages. It is a fun book that looks at the mathematics of the perfect shuffle and develops the procedures for controlling dynamic memories and doing some clever card tricks. Each chapter begins with the description of a card trick and ends with its explanation, usually using some mathematics developed earlier. The book itself is designed as a prop for a trick, but you don't need to use mathematics or even understand it to do some 'magic'. |
Contenido
The Order of Shuffles | 23 |
Shuffle Groups | 39 |
Generalizing the Perfect Shuffle | 53 |
Permutation Matrices | 59 |
Generalized Shuffle Groups | 67 |
Dynamic Computer Memories | 77 |
The Order of Shuffles | 107 |
Tours on Decks of Size 8 16 32 and 64 | 125 |
A Lagniappe | 131 |
Otras ediciones - Ver todas
Magic Tricks, Card Shuffling and Dynamic Computer Memories S. Brent Morris Vista previa limitada - 2020 |
Magic Tricks, Card Shuffling and Dynamic Computer Memories S. Brent Morris Sin vista previa disponible - 1998 |
Términos y frases comunes
2n cards 51 cards accessing algorithm adjacent column transpositions Alex Elmsley audience bets binary number block block-column bottom card bottom third card in position catcher chosen card corner Corollary cut the deck datum deck of cards Definition dynamic memory EIGHT OF HEARTS faro shuffle figure halves Hartwig IIIOI in-shuffle interconnection IOIII joker Lemma little finger magician Martin Gardner math mathematician mathematics matrix middle third mod(N move the top moves the card odd deck odd permutation OOIII original order out-shuffle Paul Gertner perfect shuffle perfect-shuffle memory perform permutation group permutation matrices Persi Diaconis players primitive permutation group Proof random access read/write port riffle right index finger semi-direct product sequential access set of imprimitivity shift-register memory shift-shuffle memory simple cut spectator symmetric group Theorem three cards top card top third tour at window triple shuffle Underwood Dudley UNSHUFFLED ΙΟΙΟΙ ΟΙΟΙΟ ΟΙΟΟΙ
Referencias a este libro
Handbooks in Operations Research and Management Science: Simulation Shane G. Henderson,Barry L. Nelson Vista previa limitada - 2006 |
Programming Challenges: The Programming Contest Training Manual Steven S. Skiena,Miguel A. Revilla Sin vista previa disponible - 2003 |