This video looks at infinite cyclic groups and finite cyclic groups and examines the underlying structures of each. By looking at when the orders of elements in these groups are the same, several theorems are introduced and proven.
+Tiri Georgiou Tell me about it! There are some decent videos out there, but compared to Calculus the options are very thin, learnifyable is by far the best!
Its mainly due to supply and demand. Given that mostly any 'science' or 'engineering' degree will require calculus, so there is a bigger market for it! lol Most of my learning of algebra comes from digging through books.
at 3:30 how do we know the identity is zero? should it not be 1 since we are dealing we multiplication based on the fact that we are dealing with a^n rather than a*n which is for addition?
I think the identity is 1 here. They're saying that exponent m can't be 0, since then this would result in g = a^0 = 1. Which contradicts us previously saying that g is not the identity.
hello Learnifyable, I am currently taking my masters degree and Im regulary watching your videos. What i'd like to know thow though is what writing application you're using in your videos? Thanks in advance
You're work is really great. Mind if I ask you what programs you use to make and record your videos? Especially how it seems you can add new things onto the screen while adding in your own comments in real time? Thanks!
Thank you for the time and effort you put in this videos. Could you please recommend a book (or several) you consider to be great to begin with abstract algebra? I'd like to study mathematical logic, but I want to understand most of this topics before diving in. Thanks!
There are a lot of books out there and I know it can be a little overwhelming trying to find the right one to start with. If you want an affordable book that is easy to read, I highly recommend "A Book of Abstract Algebra" by Charles C. Pinter. As far as traditional textbooks go, my two favorites are "Algebra: Pure & Applied" by Aigli Papantonopoulou and "A First Course in Abstract Algebra" by John B. Fraleigh. I hope that helps!
