If you want to understand quaternions better, try this amazing guide: https://eater.net/quaternions

#math #maths #mathematics #quaternions #modernalgebra #algebra #abstractalgebra #computergraphics #beneater

“(...) One day, while I was at work, I started a conversation with one of the customers who eventually started telling me about a degree in mathematics she was doing. I was so intrigued by the things she said that a few days later we ended up talking about ring theory over ramen.” - Aleksandra Brodowy

➡️ https://hermathsstory.eu/aleksandra-brodowy

#Academia #Industry #Mathematics #RingTheory #AbstractAlgebra #Uncertainty #RiskAnalysis #Student #AccountManager #WomenInMaths #WomenInSTEM #HerMathsStory

“I realized that studying mathematics made me logical, precise and optimistic in life. The subject helped me gain the confidence and skills to achieve much more than I ever aspired to.” - Tabitha Rajashekar

➡️ https://hermathsstory.eu/tabitha-rajashekar/

#AbstractAlgebra #DiscreteMathematics #Academia #GraphTheory #WomenInMaths #HerMathsStory

algebra final tmrw 😤 watch me cook

#algebra #abstractalgebra #grouptheory

Fundamentals Of Hypercomplex Numbers | UCLA Extension

https://boffosocko.com/2025/12/03/fundamentals-of-hypercomplex-numbers-ucla-extension/

The determinant of transvections. — New blog post on Freedom Math Dance

A transvection in a K-vector space V is a linear map T(f,v) of the form x↦x+f(x)v, where f is a linear form and v is a vector such that f(v)=0. It is known that such a linear map is invertible, with inverse given by f and −v. More precisely, one has T(f,0)=id and T(f,v+w)=T(f,v)∘T(f,w). In finite dimension, these maps have determinant 1 and it is known that they generate the special linear group SL(V), the group of linear automorphisms of determinant 1.

When I started formalizing in Lean the theory of the special linear group, the question raised itself of the appropriate generality for such results. In particular, what happens when one replaces the field K with a ring R and the K-vector space V with an R-module?

https://freedommathdance.blogspot.com/2025/11/the-determinant-of-transvections.html

#math #LinearAlgebra #AbstractAlgebra

Numperphile - “Lord of the Commutative Rings”

This was the sort of stuff I loved in upper-level undergraduate mathematics.

https://www.youtube.com/watch?v=1oqqpqaDgfI

#Numberphile #math #maths #abstractAlgebra