Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
In this tutorial I show a few more notations and share a few more thoughts on mappings.
From playlist Abstract algebra
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
10 Relations (still with the not-so-exciting-stuff)
This video introduces relations between pairs of elements.
From playlist Abstract algebra
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology
16 You have made it to the first exciting video Operations
To be honest, the topics have been very dry up to now. Here is the first bit of excitement. Operations. Understanding operations is a fundamental priority in abstract algebra.
From playlist Abstract algebra
Lecture 2. Homomorphisms and ideals
From playlist Abstract Algebra 2
Video series introducing abstract algebra. As promised, here's a link to one of my favorite channels: https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
From playlist Abstract algebra
Linear Algebra - Part 1 - Introduction [dark version]
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From playlist Linear Algebra [dark version]
Learn Abstract Algebra from START to FINISH
In this video I talk about how to learn abstract algebra from start to finish. I go over some books which you can use to help you learn abstract algebra from the very basics all the way to graduate level abstract algebra. My Udemy Course on Abstract Algebra https://www.udemy.com/course/a
From playlist Book Reviews
An introduction to abstract algebra | Abstract Algebra Math Foundations 213 | NJ Wildberger
How do we set up abstract algebra? In other words, how do we define basic algebraic objects such as groups, rings, fields, vector spaces, algebras, lattices, modules, Lie algebras, hypergroups etc etc?? This is a hugely important question, and not an easy one to answer. In this video we s
From playlist Math Foundations
Here are 10 completely different books on math and physics. These books are all so different. The topics include Basic Math, Topology, Abstract Algebra, Mathematical Statistics, Calculus, Physics, Partial Differential Equations, Precalculus, and Real Analysis. Here is a list of the books.
From playlist Book Reviews
This video will show you math subjects that most people never see. Many of these subjects are graduate level but some are also undergraduate level. What other areas of math do you think most people never see? Leave a comment below:) All the Math You Missed: https://amzn.to/3ZCaebJ Applied
From playlist Book Reviews
You can find beauty here: https://amzn.to/3xIBERD Abstract Algebra Book: https://amzn.to/3XWwpsc Note the above links are my affiliate links. I received my copy of the book for free so that's why it says "sponsored", although I bought the older edition of this book prior to receiving the
From playlist Inspiration and Advice
Vectors Are Not Lists of Numbers (Part 2) - From Zero to Geo 1.9
In this video, we explore the idea of linear spaces, where we generalize everything that we have learned in this chapter to a more abstract context. This topic is very useful in geometric algebra and beyond. We explore several examples of linear spaces and discuss why we care about them
From playlist From Zero to Geo
Linear Algebra - Part 1 - Introduction
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or support me via other methods: https://bright.jp-g.de Watch the whole series: https://bright.jp-g.de/linear-algebra/ Linear Algebra series YouTube-Playlist: h
From playlist Linear Algebra
Do you want to study Galois theory, but you can't take a regular class? Here is self study guide based on the resources I found most helpful when I independently studied Galois theory. If you haven't already, check out my video called "Self Study Strategies for Math" so you know how to tur
From playlist Self Study Guides for Math
Start here to learn abstract algebra
I discuss H.M. Edwards' Galois Theory, a fantastic book that I recommend for anyone who wants to get started in the subject of abstract algebra and Galois theory, the algebraic theory of solving polynomial equations. I give a guide to the contents of the book, and explain what makes this b
From playlist Math
Algebra by B.L. van der Waerden
In this video I will show you my two volume set of Algebra by B.L. van der Waerden. These are classic books on Abstract Algebra. Volume 1 https://amzn.to/3HZJL2r Volume 2 https://amzn.to/3vcIXQb Saracino Book https://amzn.to/3Gg0hKt Proof Writing Book: https://amzn.to/3YN5DnN Useful Math
From playlist Book Reviews
Best Abstract Algebra Books for Beginners
In this video I go over the four best books for beginners trying to learn abstract algebra. I have over 25 abstract algebra books and I think these are the best four for people trying to learn. There are other good books and of course opinions vary, but these are four solid choices for any
From playlist Book Reviews