Hello! This post belongs to my series Intro Math, a set of posts designed to help bridge the gap between "plug and chug" type math and proof-based ideas. I reccomend reading Quantifiers, Logical Implications, Set Theory Part 1, and Set Theory Part 2 before this post. You will only need minor concepts from each, and may be able to get … Continue reading Divisibility and Prime Numbers
Category: Intro Math
Modulo and Equivalence Relations
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 suggest reading Set Theory Part 1 and Set Theory Part 2 before this post. Typically when dealing with integers, we think of them as unbounded. We can keep adding $latex 5 … Continue reading Modulo and Equivalence Relations
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 