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 Percy A. MacMahon - Cambridge University Press
The object of this work is to present an account of theorems in combinatory analysis which are of a perfectly general character, and to shew the connexion between them by as far as possible bringing them together as parts of a general doctrine ...
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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.
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These notes deal with enumerative combinatorics. The author included some traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. He derives a variety of techniques for counting.
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