**Combinatorial Theory**

by Gian-Carlo Rota

1998**Number of pages**: 414

**Description**:

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.

Download or read it online for free here:

**Download link**

(7.8MB, PDF)

## Similar books

**Applied Combinatorics**

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.

(

**2591**views)

**Algebraic and Geometric Methods in Enumerative Combinatorics**

by

**Federico Ardila**-

**arXiv**

The main goal of this survey is to state clearly and concisely some of the most useful tools in algebraic and geometric enumeration, and to give many examples that quickly and concretely illustrate how to put these tools to use.

(

**2151**views)

**Applied Combinatorics**

by

**S. E. Payne**-

**University of Colorado**

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.

(

**9875**views)

**Matroid Decomposition**

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.

(

**4208**views)