These are the lecture notes for the first part of MATH0005: Algebra 1. The notes are split into numbered sections, one for each teaching video. The notes are very similar to the video content, so you ...

Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. The journal ...

Not every permutation is a cycle, e.g. \[ \begin{pmatrix} 1&2&3&4\\ 2&1&4&3 \end{pmatrix}. \] On the other hand, as we will prove in this section, any permutation can be written as a product of ...

ABSTRACT: In this article, we have described the Todd-Coxeter algorithm. Indeed, the Todd-Coxeter algorithm is a mathematical tool used in the field of group theory. It makes it possible to determine ...

[2018 project] Toolkit for beginner-level permutations and combinations problems. Enabled easy calculation and display of permutations and combinations of a given string using customized algorithms.