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Definition of a Group Part 1

Оценок: 311 | Просмотров: 46955
In this video we discuss the definition of a mathematical group.
Категория: Образование
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Текстовые комментарии (48)
leandro cargnelutti (2 дня назад)
Okay right!! Love your videoos!!
avijeet jha (19 дней назад)
Brilliant lecture ben....Okay🤗
chirag chutani (6 месяцев назад)
please can u suggest the source of material you studied from? It will be really helpful
Sarthak Shah (4 месяца назад)
Try using the JS Milne book once you go through the videos
Altamash Khan (6 месяцев назад)
Great series! Looking forward to finishing it...Which book to follow along with your videos? awaiting for your reply!!
Rayden Creed (6 месяцев назад)
O-Kay!
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Reshi Tariq (7 месяцев назад)
sir Eliot , please upload video of the proof of 'all finite dimensional normed spaces are equivalent
Brian Crane (10 месяцев назад)
Fascinating! Many thanks!
zita gus (10 месяцев назад)
You are one of the best math teachers i have ever know
dastgahjoosh (1 год назад)
Is this modern algebra?
Muhammad Umer (1 год назад)
sir I didn't perceive that " ALL FOUR NUMBER SYSTEMS OF CLASSICAL ALGEBRA ARE SO INCREDIBLE BECAUSE THEY HAVE STRUCTURE
Akhil Gandu (1 год назад)
subtraction doesn't obey associativity
xoppa09 (1 год назад)
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 год назад)
can you do series on graph theory?
xoppa09 (1 год назад)
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 (6 месяцев назад)
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 год назад)
Great work! These are really helpful. Also, you remind me of this guy: https://www.youtube.com/watch?v=lWEwXSXqJ8w
xoppa09 (1 год назад)
He sounds more like Richard Dawkins.
Yeil Choi (1 год назад)
lit fam
Donart Tota (1 год назад)
You are fantastic
Samuel Elman (1 год назад)
do you need to say okay every three words?
Rayden Creed (6 месяцев назад)
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 (1 год назад)
Don't be a dick
Yannis De Cleene (1 год назад)
Thanks for making it impossible to unhear it ;D
Darren Peck (1 год назад)
thank you!
xoppa09 (2 года назад)
8:01 This 'composition' is more general than the composition used in function composition?
Woof Dawgmann (1 год назад)
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 (2 года назад)
How do i donate?
Abhishek Ravindra (2 года назад)
If he used some sort of screen capturing with good quality your channel will go very long.
Abhishek Ravindra (2 года назад)
Go to Khanacademy and watch his videos to get some idea.
Abhishek Ravindra (2 года назад)
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 года назад)
Please do Calculus of Variations.
Lisa Liese (2 года назад)
You are an awesome teacher!
Anoop K Sharma (2 года назад)
+Lisa Liese --- I think that's true
Hugh Jones (2 года назад)
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 года назад)
THANK TOU MY LORD........
David Johnston (3 года назад)
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 (3 года назад)
Your videos are amazing for abstract algebra students. Thanks man!

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