by Klaus Truemper
Publisher: Leibniz 1998
Number of pages: 398
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, making the main results easily understandable.
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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.
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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.
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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.