Відео

These geometric interpretations sometimes mess with my brain but are really cool to think about. I'd also never heard the term "amplitwist" before!

Wait.. does Abstract Algebra abstract away numbers?? What an amazing intro

This lecture was irreducibiliterrific! 👍

8:11 Did you mean to say "If the coefficient is not *1*?" Either way, thanks for another amazing lecture! 🙏

Thanks for helping to keep things real 👍

I feel like if more people were able and willing to learn this information, memes would start getting made from Matt's videos and his channel would blow up!

I don't quite understand everything, and I probably need to rewatch about 15 of these videos, but I just want to say that it's been a really fun ride. At this point it's cliché, but I really would like to thank you for making all of these wonderful videos and sharing them on UA-cam!

FTA? More like "Fantastic videos; hip hip hooray!" 👍

14:36 Peak math education 👌

At this point, I would have expected nothing else besides the Mission Impossible music! 🤣

Ah man this is melting my brain.

Oh man, a notecard *attached to a pencil*!? Things are just crazy now 😃

When Matt looks at the camera and tells you something is important, you better buckle up!

1:28 I don't see anything to click on screen 😥 But in any case, thanks for another outstanding video!

Automorphisms? More like "Amazing lectures that can lead to wisdom!" 👍

Thanks for helping us get to the root of the issues!

Normal extensions? More like "Nice examples, and thanks for the instruction!" 🙏

Galois group examples? More like "Great videos, with information that's ample!" 👍

3:14 Ah, so that's what Galois groups are!

I thought it was so cool when I found out that every possible group is just a subgroup of some symmetric group. I still need some time to get comfortable with material beyond the basics, like group actions and automorphism groups, but these concrete and colorful examples definitely help!

I was curious what character you drew with the text "I generate the basis!" at 9:32, then later realized it was a rabbit. Now it makes sense!

Cyclotomic fields? More like "Cool videos, and hilarious puns that bring the feels!" 🤣👍

Just like the Bridgewater logo, that tower is nice! 👍

0:30 0:46 What, how did tearing the paper automatically factor the polynomial like that!? 😮😆 4:54 It's been awhile since I used Mathematica, and I never knew you could try factoring polynomials over different fields like that!

Thanks for helping us get to the roots of the concepts!

Existence and uniqueness? More like "An amazing playlist this is!" 👍

"Cinder-alpha" 😆 Man, you're killin' it with these puns!

The flashcards in the beginning really sold it!

Having just watched these several videos on constructions, I do kind of miss the days in high school geometry where we used compasses and straightedges. Thanks for the fond memories Mrs. K...

9:18 It's cool to know there's more algebra beyond this, and I'm sure it's irrationally great!

Oh man, this video was triangularwesome! 👍📐

The only video that helped me to understand the triangle inequality🥹❤🙏 Thank you!

Adjoin? More like "Amazing lectures, and in on this abstract algebra journey, I'm glad I could join!" 👍

I knew the rationals were countable, but didn't even consider the countability of the algebraic numbers before. Very interesting stuff!

Adobe Scan? More like "Awesome lectures; thanks for helping us understand!" 👍

I was following along through the MATH 302 Abstract Algebra II playlist and got a bit worried it ended, but I'm glad to see more videos in this Abstract Algebra II playlist. Thanks again for making such high quality educational material and sharing it for free!

What's "irreducible" is the outstanding quality of your videos!

Hey there! Is this video supposed to pick up where your Algebra II playlist left off? ua-cam.com/play/PLL0ATV5XYF8CP3A00vb4qjTt6jWmXL2K_.html&feature=shared

Constructing finite fields? More like "Cool videos, and much knowledge they yield!" 👍 Also, did you mean to keep some of the videos in this playlist hidden? Out of the 36 videos, 10 are hidden, and it seems this wasn't meant to be the last video in the course. If it's not too much trouble, would you mind unhiding the other videos, or at least, pointing us to the next set of videos? Thanks in advance!

I'd say these videos are definitely both prime and maximal!

Thanks for another "twisted" video! 🤣

2:19 Whoa, negative norms!? Very cool 👍 Also, thanks for clearing up one of my misconceptions at 6:09!

I'm absolutely loving all these ring puns and classic media! 🤣💍👍

Absorbing multiplication? More like "Amazing lectures; thanks for all the great information!" I do want to call out that issue with the polynomial ideals in the example at 11:55 (as other commenters have), but other than that, thanks for another great video 👍

Quaternions? More like "Quite interesting lectures to think upon!" 👍

0:33 🤣This channel is solid gold!💍

I never thought about the idea of trying to "trick" polynomials before; this is all really neat stuff!

The genuine in the intro was one of the most wholesome things I've seen in awhile! And also, just imagine how many people pay to go to lectures to learn this stuff, while all of Matt's playlists are freely available on UA-cam. I feel sorry for people who paid money and didn't know these were here...

I absolutely appreciated the humor in this video! 🤣 On a side note, and while continuing to acknowledge how good these videos are, I'd highly suggest double-checking the examples. Unfortunately I think the errors can get to the point where they create genuine confusion.

Even though the example wasn't quite right, this lecture was polynomialwesome!👍