by Gian-Carlo Rota
Number of pages: 414
In 1998, Gian-Carlo Rota gave his famous course, Combinatorial Theory, at MIT for the last time. John N. Guidi taped the lectures and took notes which he then wrote up in an almost verbatim manner conveying the substance and some of the atmosphere of the course. Topics covered included sets, relations, enumeration, order, matching, matroids, and geometric probability.
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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.
by Klaus Truemper - Leibniz
Matroids were introduced in 1935 as an abstract generalization of graphs and matrices. Matroid decomposition covers the area of the theory dealing with decomposition and composition of matroids. The exposition is clear and simple.
by Richard P. Stanley - MIT
The standard guide to the topic for students and experts alike. The material in Volume 1 was chosen to cover those parts of enumerative combinatorics of greatest applicability and with the most important connections with other areas of mathematics.
by Louis J. Billera, at al. - Cambridge University Press
The rich combinatorial problems arising from the study of various algebraic structures are the subject of the book. It will present the state of the art to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.