Combinatorics: The Rota Way (Cambridge Mathematical Library)

Kung, Joseph P. S.

ISBN 10: 052188389X / ISBN 13: 9780521883894

Published by Cambridge University Press, 2009

About this Item

Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses. Series: Cambridge Mathematical Library. Num Pages: 408 pages, 3 b/w illus. 209 exercises. BIC Classification: PBV. Category: (UU) Undergraduate. Dimension: 157 x 231 x 27. Weight in Grams: 670. . 2009. Illustrated. hardcover. . . . .

Seller Inventory # V9780521883894

Bibliographic Details

• Title: Combinatorics: The Rota Way (Cambridge Mathematical Library)
• Publisher: Cambridge University Press
• Publication Date: 2009
• Language: English
• ISBN 10: 052188389X
• ISBN 13: 9780521883894
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

About the Authors

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.

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.

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).