New Perspectives in Algebraic Combinatorics
by Louis J. Billera, at al.
Publisher: Cambridge University Press 1999
Number of pages: 345
The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which contains expository contributions by some of the most respected researchers in the field. It will present the state of the art to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.
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by Richard P. Stanley - MIT
Contents: Walks in graphs; Cubes and the Radon transform; Random walks; The Sperner property; Group actions on boolean algebras; Young diagrams and q-binomial coefficients; Enumeration under group action; A glimpse of Young tableaux; etc.
by Gian-Carlo Rota
In 1998, Gian-Carlo Rota gave his famous course at MIT. John N. Guidi took notes in a verbatim manner conveying the substance of the course. Topics covered included sets, relations, enumeration, order, matching, matroids, and geometric probability.
by Edward A. Bender, S. Gill Williamson - Dover Publications
This introduction to combinatorics, the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. Some ability to construct proofs is assumed.
by Mitchel T. Keller, William T. Trotter - Georgia Institute of Technology
The purpose of the course is to give students a broad exposure to combinatorial mathematics, using applications to emphasize fundamental concepts and techniques. Our approach to the course is to show students the beauty of combinatorics.