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
Author: cfreddy10
I'm a student at Hope College - a small, liberal arts college in West Michigan. I study math and physics - when I'm not struggling through problem sets, I can be found reading, hiking with friends, running, and listening to music!
Intro to Groups
Hello! This is the first post in my series on group theory. For an overview of this series, see Group Theory (link to be added). I recommend working through Intro Math before starting this topic (especially Logical Implications, Set Theory Part 1, Set Theory Part 2, and Binary Functions). The vocabulary from Binary Functions is … Continue reading Intro to Groups
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
Intro Math
Welcome to my Intro Math series! Here I'll offer some info about the series, and you can find links to all the topics below. The standard mathematics education has students working through Calculus, then moves into proof-based math. This is a significant jump and can be jarring for many students. Lots of new concepts and … Continue reading Intro Math
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
Quantifiers
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.In mathematics, there are two main quantifiers $latex \forall &bg=ffffff&fg=4E4E4E&s=1$ and $latex \exists&bg=ffffff&fg=4E4E4E&s=1$. These symbols are … Continue reading Quantifiers
Bijective 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. Hello! In this post I'll be explaining bijective functions. To do that, I first need to cover some definitions. It is recommended to read Set Theory Part … Continue reading Bijective Functions
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
Word of Cole 