Hello Patrick. These videos don't have crazy view but they are easily the best abstract algebra 1 videos on this platform. I cannot thank you enough for these video lectures. You have managed to very quickly convey this information in a way that is extremely easy to understand. It is a shame that these videos are not getting thousands of views considering how incredible they are. Thank you again for taking the time to make these, they are exceptional.
Thank you for the kind words. They mean a lot to me. Honestly, I'm surprised the videos have gotten as many views as they have. I made them when I got roped into teaching an abstract algebra course after the previous professor bailed at the last minute. The course was scheduled to be online (which I think is a horrible way to teach any course with this much theory), and I didn't have the option of changing it. I figured that if I had to create videos anyway, I may as well make them available for anyone that was willing to watch.
Really great video!! Writing down the factor/quotient group in a table, makes it much easier to understand than how it's normally introduced! One question: Why is {R90, R270}=R270K 8:43? And similarly, {H, V}=VK 9:09?
Remember that R270*K is the set which consists of each element of K multiplied by R270. K in the example is {R0,R180}, and R270*R0=R270, R270*R180=R90. The other one is similar, you just need to remember how the group operation works.
The video is so good and easy to understand.Thank you! it would be better if you continue the video without breaking them into different parts or having a link to the next part somewhere....
I'm glad you found the video helpful. I am no longer teaching an abstract algebra course, so I'm very unlikely to do any further work on these videos. However, there is a playlist which has all the videos in order, so that might help with your sequencing.
Hello Patrick. These videos don't have crazy view but they are easily the best abstract algebra 1 videos on this platform. I cannot thank you enough for these video lectures. You have managed to very quickly convey this information in a way that is extremely easy to understand. It is a shame that these videos are not getting thousands of views considering how incredible they are. Thank you again for taking the time to make these, they are exceptional.
Thank you for the kind words. They mean a lot to me. Honestly, I'm surprised the videos have gotten as many views as they have. I made them when I got roped into teaching an abstract algebra course after the previous professor bailed at the last minute. The course was scheduled to be online (which I think is a horrible way to teach any course with this much theory), and I didn't have the option of changing it. I figured that if I had to create videos anyway, I may as well make them available for anyone that was willing to watch.
I really like the way youre teaching this. Not sure why, but it works for me. Thanks!
Really great video!! Writing down the factor/quotient group in a table, makes it much easier to understand than how it's normally introduced!
One question: Why is {R90, R270}=R270K 8:43? And similarly, {H, V}=VK 9:09?
Remember that R270*K is the set which consists of each element of K multiplied by R270. K in the example is {R0,R180}, and R270*R0=R270, R270*R180=R90.
The other one is similar, you just need to remember how the group operation works.
@@patrickjones1510 Of course! Thanks for your quick response 🙂
hello, can I ask if the quotient group is the same as the factor group?
Yes, those are just two terms for the same thing.
this is very good, thanks
The video is so good and easy to understand.Thank you!
it would be better if you continue the video without breaking them into different parts or having a link to the next part somewhere....
I'm glad you found the video helpful. I am no longer teaching an abstract algebra course, so I'm very unlikely to do any further work on these videos. However, there is a playlist which has all the videos in order, so that might help with your sequencing.
Why we do 0+H not 0xH?
It is typical to use the symbol of the group operation. Since our group operation on the integers is addition, we just use the same notation.
@@patrickjones1510 is only addition?
Or we can use other operation
@@EpicOfficialUNNES Multiplication is not a group operation on the integers, since it lacks inverses.
@@patrickjones1510 what is group operation on integers?
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