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
Combinatorial Theoryby Gian-Carlo Rota
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.
(7977 views)
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 ...
(8635 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.
(10891 views)
New Perspectives in Algebraic Combinatoricsby Louis J. Billera, at al. - Cambridge University Press
The rich combinatorial problems arising from the study of various algebraic structures are the subject of the book. It will present the state of the art to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.
(13402 views)