| Combinatorics: The Rota Way Contributor(s): Kung, Joseph P. S. (Author), Rota, Gian-Carlo (Author), Yan, Catherine H. (Author) |
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ISBN: 052188389X ISBN-13: 9780521883894 Publisher: Cambridge University Press OUR PRICE: $143.45 Product Type: Hardcover - Other Formats Published: February 2009 Annotation: Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses. |
| Additional Information |
| BISAC Categories: - Mathematics | Combinatorics - Mathematics | Discrete Mathematics |
| Dewey: 511.6 |
| LCCN: 2008037803 |
| Series: Cambridge Mathematical Library |
| Physical Information: 1" H x 6.1" W x 9.1" (1.45 lbs) 408 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Written by two of Gian-Carlo Rota's former students, this book is based on notes from his courses and on personal discussions with him. Topics include sets and valuations, partially ordered sets, distributive lattices, partitions and entropy, matching theory, free matrices, doubly stochastic matrices, Moebius functions, chains and antichains, Sperner theory, commuting equivalence relations and linear lattices, modular and geometric lattices, valuation rings, generating functions, umbral calculus, symmetric functions, Baxter algebras, unimodality of sequences, and location of zeros of polynomials. Many exercises and research problems are included, and unexplored areas of possible research are discussed. This book should be on the shelf of all students and researchers in combinatorics and related areas. |
Contributor Bio(s): Kung, Joseph P. S.: - Dr Joseph P. S. Kung is Professor of Mathematics at the University of North Texas. He is currently an editor-in-chief for the journal Advances in Applied Mathematics.Yan, Catherine H.: - Catherine H. Yan is a Professor of Mathematics at Texas A & M University. She was a Courant Instructor at New York University (1997 1999) and a Sloan Fellow (2001 2003).Rota, Gian-Carlo: - Gian-Carlo Rota (1932 1999) was a Professor of Applied Mathematics and Natural Philosophy at the Massachusetts Institute of Technology. He was a member of the National Academy of Science. He was awarded the 1988 Steele Prize of the American Mathematical Society for his 1964 paper 'On the Foundations of Combinatorial Theory I. Theory of Moebius Functions.' He was the founding editor of the Journal of Combinatorial Theory. |