| Description |
1 online resource (xiv, 422 pages) : illustrations |
| Contents |
Binomial coefficients -- The central binomial coefficient -- The central binomial coefficient revisited -- Binomial coefficients revisited -- Catalan numbers -- The ubiquity of Catalan numbers I -- The ubiquity of Catalan numbers II -- Trees and Catalan numbers -- Lattice paths and Catalan numbers -- Partitions and Catalan numbers -- Algebra, sports, and Catalan numbers -- Pascal's triangle and Catalan numbers -- Divisibility properties -- A Catalan triangle -- A family of binary word -- Tribinomial coefficients -- Generalized Catalan numbers |
| Summary |
This title presents a comprehensive introduction to Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, the author includes short biographies of the prominent mathematicians who have worked with the numbers |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Catalan numbers (Mathematics)
|
|
MATHEMATICS -- Combinatorics.
|
|
Catalan numbers (Mathematics)
|
| Form |
Electronic book
|
| ISBN |
9780199715190 |
|
019971519X |
|
9780199868766 |
|
019986876X |
|
6611980652 |
|
9786611980658 |
|
