Number Theory is one of the most pure fields of mathematics. Many people look to it when trying illustrate the beauty of math. Staying true to the name of this site, I hope to help you see some of that beauty for yourself. Before reading posts from this series, there some important foundational concepts you … Continue reading Number Theory
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Group Theory
Abstract Algebra is a rich, massive field of mathematics. It is the study of many mathematical structures such as groups, rings, fields, modules, etc. Groups are the simplest of these structures and are the focus of this series. Before you begin this topic, I reccomend working through Intro Math, as this will give you a nice … Continue reading Group Theory
Binary Functions
This post belongs to my "Intro Math" series, a set of posts designed to give the foundations to advanced mathematics. More info can be found in Intro Math. I've done a few posts talking about functions that take one input, such as $latex x^{2}&bg=ffffff&fg=4E4E4E&s=1$ , $latex x-5&bg=ffffff&fg=4E4E4E&s=1$ , etc. Another class of functions, known as Binary … Continue reading Binary Functions
Logical Implications
This post belongs to my "Intro Math" series, a set of posts designed to give the foundations to advanced mathematics. More info can be found in Intro Math.Before reading, I recommend Set Theory Part 1 for a brief overview of sets.Here I'll be discussing the basic logic found in most mathematical arguments. We'll be learning … Continue reading Logical Implications
Set Theory Part 2
Hello! Be sure to read Set Theory Part 1 before reading this post This post belongs to my "Intro Math" series, a set of posts designed to give the foundations to advanced mathematics. More info can be found in Intro Math. There are a couple sets that everyone learning math should know. The first is … Continue reading Set Theory Part 2
Set Theory Part 1
Hello! This post belongs to my "Intro Math" series, a set of posts designed to give the foundations to advanced mathematics. More info can be found in Intro Math. Here, I'll be introducing sets - one of the most fundamental ideas you'll encounter in math. Pay careful attention as these concepts will show up in … Continue reading Set Theory Part 1