| Titre : |
Pearls of discrete mathematics |
| Type de document : |
texte imprimé |
| Auteurs : |
Martin J. Erickson, Auteur |
| Editeur : |
Boca Raton : CRC Press/Taylor & Francis |
| Année de publication : |
2010 |
| Importance : |
x, 270 p. |
| Présentation : |
ill., fichiers PDF |
| Format : |
24cm |
| Note générale : |
"A Chapman & Hall book." In MATHnetBASE IN STATSnetBASE Titre de l'écran-titre (visionné le 26 mai 2010) |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Mathematic Counting Probability Algorithms ... |
| Index. décimale : |
580.968 9 Études biographiques, géographiques, historiques en relation avec la botanique (histoire de la botanique) de la Zambie |
| Résumé : |
"Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics." "Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal's triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin's sequence, and Rook and Queen paths and the equivalent Nim and Wythoff's Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon's theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems." "With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics." --Résumé de l'éditeur. |
Pearls of discrete mathematics [texte imprimé] / Martin J. Erickson, Auteur . - Boca Raton : CRC Press/Taylor & Francis, 2010 . - x, 270 p. : ill., fichiers PDF ; 24cm. "A Chapman & Hall book." In MATHnetBASE IN STATSnetBASE Titre de l'écran-titre (visionné le 26 mai 2010) Langues : Anglais ( eng)
| Mots-clés : |
Mathematic Counting Probability Algorithms ... |
| Index. décimale : |
580.968 9 Études biographiques, géographiques, historiques en relation avec la botanique (histoire de la botanique) de la Zambie |
| Résumé : |
"Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics." "Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal's triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin's sequence, and Rook and Queen paths and the equivalent Nim and Wythoff's Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon's theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems." "With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics." --Résumé de l'éditeur. |
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