| Combinatorics of Set Partitions Contributor(s): Mansour, Toufik (Author) |
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ISBN: 1439863334 ISBN-13: 9781439863336 Publisher: CRC Press OUR PRICE: $228.00 Product Type: Hardcover - Other Formats Published: July 2012 |
| Additional Information |
| BISAC Categories: - Computers | Operating Systems - General - Mathematics | Number Theory - Mathematics | Combinatorics |
| Dewey: 512.73 |
| LCCN: 2012472182 |
| Series: Discrete Mathematics and Its Applications |
| Physical Information: 1.5" H x 6.2" W x 9.2" (2.16 lbs) 516 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today. Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and Maple(TM) code. End-of-chapter problems often draw on data from published papers and the author's extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author's web page. |