(Abstract Algebra 1) The Structure of Cyclic Groups
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- Опубліковано 11 гру 2024
- 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.
The videos for abstract algebra are amazing! Keep up the good work!
These videos have been a life saver for my abstract algebra course.. Would love it if you could do some videos on rings!
+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.
Amazing work, I have trouble understanding my book (Dummit and Foote) and these videos are a great help to clarify each paragraph! Thanks:)
Note for future learner:
= { a^n | n in Z } if the set G is multiplicative and
= { n*a | n in Z } if the set G is additive.
i love the way you teach physic woow thanks a lot i hope you solve more question on AS physic for us !!! ( lots of love) :)))))
Thank you so much... your videos are amazing!
+Daniela magnone Thanks!
Thank for video. Do you know how to find generator of dihedral group D3 ?
D3={e,r,rr,rrr, f,rf,rrf,rrrf}.
Wish you did more videos! Isomorphisms through cosets and factor groups! Then onto rings in november! I would pay you
thanks!!! please make more videos like this
I'll try! I wish I had more time.
Thank you so much! Very helpful!
+Carlos Barillas Thanks!
Mind blowing.......
But I need videos on the Criterion and Corollary..........
Please sir.....
Thanks for this. great help for my exam
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.
please explain how you applied division algorithm on
a^(u-v) = e
Sir please make a video of Lagranges theorem
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!
Thanks for the kind words! I use Screenflow for recording and editing and I have a Wacom bamboo tablet for handwritten work.
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!
+learnifyable Thank you for the quick response :) I will use them complementing it with your videos. Greetings!
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
*though
I just think this isn''t just the regular pc built in writing application
ha. just like any other proof, it went over my head
bakwaas hai group theory sala 3 baar back lag chuki hai is chutiye subject me pata nahi is baar pass hunga ki nahi
Please you talk too fast. Slow down a bit please
there is an option to slow down the speed