Counting Rocks! An Introduction to Combinatorics
by Henry Adams, et al.
Publisher: arXiv.org 2021
Number of pages: 220
Description:
This textbook is the written component of an interactive introduction to combinatorics at the undergraduate level. The major topics in this text are counting problems, proof techniques, recurrence relations and generating functions, and an introduction to graph theory.
Download or read it online for free here:
Download link
(9.1MB, PDF)
Similar books
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.
(11482 views)
Algebraic and Geometric Methods in Enumerative Combinatoricsby 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.
(9483 views)
Combinatorial Maps: Tutorialby Dainis Zeps - Latvian University
Contents: Permutations; Combinatorial maps; The correspondence between combinatorial maps and graphs on surfaces; Map's mirror reflection and dual map; Multiplication of combinatorial maps; Normalized combinatorial maps; Geometrical interpretation...
(8816 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.
(11941 views)