Hello! This post belongs to a series called Number Theory. Before reading this post, I recommend going to that page and making sure you have the prerequisite material. You should be familiar with Set Theory Part 1, Set Theory Part 2, Quantifiers, Modulo and Equivalence Relations, and Divisibility and Prime Numbers. Before I introduce the … Continue reading The Division Algorithm
Tag: proof
Group Types Part 2
Hello! This posts belongs to a series Group Theory. I recommend checking that out before reading this post. You should definitely read Intro to Groups and Group Types Part 1. The groups we've seen so far have been aproached from the perspective of elements. This is a very useful tool, but sometimes it's nice to … Continue reading Group Types Part 2
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
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
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
Word of Cole 