Here, you find my whole video series about Algebra in the correct order and I also help you with some text around the videos. If you have any questions, you can contact me and ask anything. However, without further ado let’s start:
Part 1 - Introduction
Algebra is a video series I started for everyone who is interested in the basics of algebra as a mathematical field. It generalises a lot of ideas from my Start Learning Mathematics series and puts them into a more abstract setting. This is not only interesting from a pure mathematical point of view but we also find a lot of applications for these concepts. The power of describing them all under a single definition is what makes algebra so useful for a lot of different parts in mathematics.
With this you now know the topics that we will discuss in this series. Some important bullet points are groups, rings, fields and vector spaces. In order to describe these things, we need to generalise a lot from the constructions of number sets. Let’s immediately start with most basic structure.
Part 2 - Semigroups
Part 3 - Identities and Inverses
After learning what a semigroup is, we can start to disguish special elements in it. The first one is a so-called neutral element.