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
Applied Combinatoricsby 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.
(17948 views)
An Introduction to Combinatorics and Graph Theoryby David Guichard - Whitman College
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.
(10032 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.
(13695 views)
Matroid Decompositionby 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.
(11593 views)