Combinatorics: The Rota Way (Cambridge Mathematical Library) - Softcover

Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H.

 
9780521737944: Combinatorics: The Rota Way (Cambridge Mathematical Library)
Softcover
ISBN 10: 052173794X ISBN 13: 9780521737944
Publisher: Cambridge University Press, 2009

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.

"synopsis" may belong to another edition of this title.

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).

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2009
Language
English
ISBN 10 
052173794X
ISBN 13 
9780521737944
Binding
Paperback
Edition number
1
Number of pages
408

Other Popular Editions of the Same Title

9780521883894: Combinatorics: The Rota Way (Cambridge Mathematical Library)

Featured Edition

ISBN 10:  052188389X ISBN 13:  9780521883894
Publisher: Cambridge University Press, 2009
Hardcover