It's so blatant

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@user-lt9vw3ry4x Күн бұрын

It's great information american

@Isaac-Playlists 22 күн бұрын

It was very clever to name all the videos in the playlist with one name

@user-pg6cn8tw8u 24 күн бұрын

Great lecture

@nedas9187 Ай бұрын

What am I missing in min 40:12? Find invertible matrices such that AB is not equal to BA? Here: let A = (1, 2; 3, 4) and let B = (3, 4; 1, 2). They are both invertible. If you take A*B row 1 column 1 entry, you get 5. If you take B*A row 1 col 1 entry, you get 15. The products are not equal. Other than that, great lecture. I just completed the first course in Abstract Algebra at my local college, and am moving on to other courses. I thought it'd be a shame to forget what I've learned because it was a fascinating topic. My prof closed the course in D2L with her video lectures, so I took to KZbin to see what's available there. Really glad I found this channel, and I hope the content is available for a long time. I really like that the first lesson reviewed linear algebra because I took that course 25 years ago when I was a "proper" college student. My intro course spend more time on Sn permutations, and I hope I learn more about matrices and vector spaces as groups here.

@tianqilong8366 Ай бұрын

lecture ends at 39:00

@tianqilong8366 Ай бұрын

🤯🤯🤯🤯🤯🤯

@tianqilong8366 Ай бұрын

For the last part about gaussian integers and the related ideals to have isomorphism with Z/pZ, where p = 4m+1, the part about f(i) has order 4 is slightly misleading I believe, because although we necessarily have (f(i))^4=1, it does not imply f(i) has order 4, it could have order 2, or 1, because homomorphism does not necessarily preserves the ring structure. Nonetheless it does not affect the flow of the proof overall, can directly start by observing the existence of an element of order 4 in the multiplicative group of Z/pZ, and proceed to use that to construct an ideal to satisfy the isomorphism.

@yopenzo Ай бұрын

The guy may be a genius, but he's boring, dry and unpleasant. Maybe he's simply shy, but they are characters like him. that make you abandon the desire to study mathematics.

@MenaGpt Ай бұрын

Thank you for the resource. I wish the titles were descriptive. It is not convenient to open every video to understand specific concept.

@joetursi9573 2 ай бұрын

Ridiculously hard as scores show. I surprised that the prof., with all his experience , handed this out. Oh, he does say it's too hard. What a guy. Some confidence builder!!

@alexandralaw1476 2 ай бұрын

hey I m here for the semiring definitions, which is need for me to understand signed measures and bounded variations...but I m an economist so I have absolutely no idea what I am saying

@petereden9224 2 ай бұрын

These lectures are marvellous. I studied group theory many years ago but fro a more abstract point of view: axiom, theorem, proof. Here we have discovery driven by example where the theorems just pop out, well motivated. Enjoying this immensely, thank you. Great lecturing style combining talk and text with real enthusiasm for the subject.

@Hank-ry9bz 2 ай бұрын

25:50

@Hank-ry9bz 2 ай бұрын

17:55 parameterizations/coordinate patch; 23:00 mobius

@BolasDear 2 ай бұрын

it looks frightening.

@mehrdadassar2542 3 ай бұрын

Here we clearly see what ''expert'' is.

@AbdelmajidKhadari 3 ай бұрын

thanks

@AbdelmajidKhadari 3 ай бұрын

Thanks

@AbdelmajidKhadari 3 ай бұрын

Thanks.

@bobf9749 3 ай бұрын

Another movie example: Ron Lola Run. We see essentially the same events several times, each with minor changes that lead to vastly different outcomes.

@sg04f 3 ай бұрын

14:58 "you cannot learn too much linear algebra" -- so true!!

@phill4337 3 ай бұрын

sim is wrong

@sjdONEAPE 4 ай бұрын

Man, I would've failed the hell out of that test

@robertlbray 5 ай бұрын

The DFW book he references at 14:45 is Infinity and More, and it’s extremely good.

@SophySongTan Ай бұрын

what's the name of the book ?🙂

@tianqilong8366 5 ай бұрын

gem of the human race, both referring to algebra and this lecture series

@jaytravis2487 5 ай бұрын

I admire his composure after scolding the talkers...but he's out of breath for like 30 secs afterward. Not DRILL SARGENT MATERIAL!!! LOL

@tianqilong8366 5 ай бұрын

HAHAH, 3 hours in and I am at 36:30 right now

@dtung2008 5 ай бұрын

51:36 the professor doesn't seem to derive property in a logical order, instead try to recite a lot of facts. For example Inn(G) is the collection of conjugate (group) defined earlier which are isomorphisms thus inside Aut(G). Why not derive the property formally instead scatter the same thing informally all over the place?

@dtung2008 5 ай бұрын

34:55 ~ 44:43 The proof of f: G->Aut(G) has a homomorphism is frankly a mess, because the professor didn't seem to explain what does the theorem mean, instead just exercise some mechanism. After some study I think this is a better explanation: there are two homomorphisms involved, one is f, another is Automorphism (Aut). First of all, let's focus on Aut. As shown in the textbook, conjugate such as g*x*g^{-1} for some g in G and x in G, is a special kind of isomorphism. That is there are some other isomorphisms in Aut that may not be a conjugate. (That is why when we choice conjugate as morphism of f it is a homomorphism not isomorphism). With such clarification now you need to prove conjugate is an isomorphism from G to G (as shown in textbook, also in the lecture). Then show f is homomorphism (because conjugate is only examples of Aut) as shown in the lecture.

@dtung2008 5 ай бұрын

Great summary, great examples and great lecture except some missing and obvious oral mistake or typo. Probably is too fast for new learners, but one can always use the pause. 😄

@tianqilong8366 5 ай бұрын

His delivery quality is improving compared to the beginnings

@tianqilong8366 5 ай бұрын

it started to dive....., lesss go!!!

@robertlbray 5 ай бұрын

He explains the part around 39:00 better in the next lecture.