Categories
Math

Starting Intro to Abstract Algebra

I’ve started writing a textbook for Intro to Abstract Algebra! You can check it out here (in-progress, published incrementally).

Categories
Math

Intro to Semilinear Maps

I first learned about semilinear maps through one of my mathematical explorations. In this article, we introduce them and prove some basic results about them. We assume some knowledge of abstract algebra and related subjects (vector spaces, modules, universal algebra, category theory, etc.)

(I was still learning about the concept alongside writing this article, so if there are any inaccuracies here, please let me know!)

Categories
Tech

Reacting in Programming

There are lots of different concepts in programming related to reacting when special occurrences happen. This post is an attempt at sorting these concepts out and illuminating how they relate to each other. Of course, a lot of this is based on my understanding, and it’s possible that different people will have different definitions of these terms; however, this is meant to accurately reflect the standard meanings.

Categories
Math

Non-Technical Intro to Isomorphisms

There is an important concept in math called an isomorphism. This is typically introduced when you study a subject called abstract algebra, although it applies beyond abstract algebra too. While its definition generally requires some technical background, in this post we attempt to provide a non-technical introduction.