Notes on the Combinatorial Fundamentals of Algebra
by Darij Grinberg
Publisher: arXiv.org 2021
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.
Download or read it online for free here:
Download link
(10MB, PDF)
Similar books
Combinatory Analysisby 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 ...
(6882 views)
Topics in Algebraic Combinatoricsby Richard P. Stanley - 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.
(9404 views)
Notes on Combinatoricsby Peter J. Cameron - Queen Mary, University of London
Contents: Subsets and binomial coefficients; Selections and arrangements; Power series; Recurrence relations; Partitions and permutations; The Principle of Inclusion and Exclusion; Families of sets; Systems of distinct representatives; etc.
(9491 views)
Analytic Combinatoricsby Philippe Flajolet, Robert Sedgewick - 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.
(17213 views)