Logo

Notes on the Combinatorial Fundamentals of Algebra

Small book cover: Notes on the Combinatorial Fundamentals of Algebra

Notes on the Combinatorial Fundamentals of Algebra
by

Publisher: arXiv.org
Number of pages: 1359

Description:
This is a detailed survey, with rigorous and self-contained proofs, of some of the basics of elementary combinatorics and algebra, including the properties of finite sums, binomial coefficients, permutations and determinants. It is entirely expository and written to a large extent as a repository for folklore proofs; no new results appear.

Home page url

Download or read it online for free here:
Download link
(10MB, PDF)

Similar books

Book cover: Analytic CombinatoricsAnalytic Combinatorics
by - Cambridge University Press
Deals with the the analysis of discrete structures, that emerged over the past years as an essential tool in the understanding of computer programs and models with applications in science. The text contains examples and exercises.
(15051 views)
Book cover: Topics in Algebraic CombinatoricsTopics in Algebraic Combinatorics
by - 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.
(7758 views)
Book cover: Applied CombinatoricsApplied Combinatorics
by - 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.
(7700 views)
Book cover: Applied CombinatoricsApplied Combinatorics
by - 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.
(14439 views)