Combinatorics: The Rota Way

Name: Combinatorics: The Rota Way
SKU: 2767323
Price: 197.00 NZD
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Paperback / softback

Series:

Cambridge Mathematical Library

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Description

Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. His work on the foundations of combinatorics focused on the algebraic structures that lie behind diverse combinatorial areas, and created a new area of algebraic combinatorics. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions. 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. A must-have for all students and researchers in combinatorics and related areas.

Author Biography:

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 is the founding editor of 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).

Release date NZ

February 9th, 2009

Author

Audience

Undergraduate

Illustrations

Worked examples or Exercises; 3 Line drawings, unspecified

Pages

408

Series

Cambridge Mathematical Library

Dimensions

152x228x22

ISBN-13

9780521737944

Product ID

2767323

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