HomeОбразованиеRelated VideosMore From: Ben1994

Definition of a Group Part 1

271 ratings | 42774 views
In this video we discuss the definition of a mathematical group.
Html code for embedding videos on your blog
Text Comments (43)
chirag chutani (3 months ago)
please can u suggest the source of material you studied from? It will be really helpful
Sarthak Shah (1 month ago)
Try using the JS Milne book once you go through the videos
Altamash Khan (3 months ago)
Great series! Looking forward to finishing it...Which book to follow along with your videos? awaiting for your reply!!
Rayden Creed (3 months ago)
O-Kay!
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (4 months ago)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Brian Crane (7 months ago)
Fascinating! Many thanks!
zita gus (7 months ago)
You are one of the best math teachers i have ever know
dastgahjoosh (10 months ago)
Is this modern algebra?
Muhammad Umer (10 months ago)
sir I didn't perceive that " ALL FOUR NUMBER SYSTEMS OF CLASSICAL ALGEBRA ARE SO INCREDIBLE BECAUSE THEY HAVE STRUCTURE
Akhil Gandu (1 year ago)
subtraction doesn't obey associativity
xoppa09 (1 year ago)
23:31 This might be interesting: "There are 18 inequivalent ways to define an associative operation on three elements: while there are, altogether, a total of 3^9 = 19683 different binary operations that can be defined, only 113 of these are associative, and many of these are isomorphic or anti-isomorphic so that there are essentially only 18 possibilities." https://en.wikipedia.org/wiki/Semigroup_with_three_elements
alirz 23 (1 year ago)
can you do series on graph theory?
xoppa09 (1 year ago)
7:43 I think mathematicians should deprecate the use of × for multiplication, and use asterisk * instead. The symbol × can easily be confused with x, the letter. I like how you're x is curvy so it looks distinguishable.
Vikram Kalabi (3 months ago)
Although I agree that we should get rid of x for multiplication, the symbol * isn't a good choice either. "*" represents convolution operator. I prefer to use the symbol "." for multiplication.
Woof Dawgmann (1 year ago)
Great work! These are really helpful. Also, you remind me of this guy: https://www.youtube.com/watch?v=lWEwXSXqJ8w
xoppa09 (1 year ago)
He sounds more like Richard Dawkins.
Yeil Choi (1 year ago)
lit fam
Donart Tota (1 year ago)
You are fantastic
Samuel Elman (1 year ago)
do you need to say okay every three words?
Rayden Creed (3 months ago)
Arya Pourtabatabaie It’s a valid complaint mate. This guy is helping us by teaching us, but it’s really infuriating to have every other word be that damn “O-Kay!” That he loves spewing out all the time, which is only made worse by his aggravatingly annoying voice. Reading such a complaint is literally supposed to help the content creator become better, so I don’t think saying “Don’t be a dick” is really helping in the long run.
Arya Pourtabatabaie (9 months ago)
Don't be a dick
Yannis De Cleene (1 year ago)
Thanks for making it impossible to unhear it ;D
Darren Peck (1 year ago)
thank you!
xoppa09 (1 year ago)
8:01 This 'composition' is more general than the composition used in function composition?
Woof Dawgmann (1 year ago)
Yes, because function composition is one possible example of this composition. However, we find out later (Cayley's theorem) that this composition actually *is* (can always be viewed as) a function composition! The group elements can be identified with permutations (bijective functions) of a set and the composition operation of the group can then be identified with the usual composition of permutations.
xoppa09 (1 year ago)
How do i donate?
Abhishek Ravindra (2 years ago)
If he used some sort of screen capturing with good quality your channel will go very long.
Abhishek Ravindra (2 years ago)
Go to Khanacademy and watch his videos to get some idea.
Abhishek Ravindra (2 years ago)
You should do screen capturing with Camtasia and SmoothDraw right it will be lot more engaging and it will not distract viewers.
Paesan Ng (2 years ago)
Please do Calculus of Variations.
Lisa Liese (2 years ago)
You are an awesome teacher!
Anoop K Sharma (2 years ago)
+Lisa Liese --- I think that's true
Hugh Jones (2 years ago)
2:00 But abstract algebra *is* useful for the real world. That might not be the point of it (as far as pure mathematicians are concerned) but time and again it has proved it usefulness; for example in group theory which has proved very useful in describing the symmetries of particle physics. :)
wolf gang (2 years ago)
THANK TOU MY LORD........
David Johnston (2 years ago)
An excellent series. Start at part 1, keep going through them all and you'll have a head start on taking a mathematics degree at college. I'm an engineer with an engineer's understanding of field theory to get by in crypto and comms coding. This series has really helped me back fill with the group theory they didn't teach me at college.
searock (2 years ago)
Your videos are amazing for abstract algebra students. Thanks man!

Would you like to comment?

Join YouTube for a free account, or sign in if you are already a member.