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I just discovered the millenium problems, is this probleem not similiar to the P vs NP problem?

I didn't understood a sh** about the firt page of the first book. Not my level at all 😂

Now I have something to do for the next 4 to 6 years 😂

I LOVE YOU LUCIANO

Nice animation

This is an excellent video, with wonderful graphics that really make the ideas behind Galois theory come to life. There's only one thing that threw me. At around 7:42, you state that Aut F is "a little too big", so we restrict our attention to Aut F/Q. I spent a good hour trying to figure out what could possibly be in Aut F but not in Aut F/Q. At the end of it, I proved to myself that any field automorphism of any field containing Q must fix Q, so it ended up being an hour well spent. It doesn't detract from the main point you're making there, which is essentially, "this is the notation we use", and when we have Q<K<F, it's nice to have consistent notation for comparing Aut F/Q, Aut F/K, and Aut K/Q. Making the subfield Q explicit is a little bit like writing integers as n/1, just to make them look like the other rationals, perhaps for calculating mediants or something.

Oh no, the Clay Institute took him away! (Abrupt video ending)

you forgot step 1. Be a genius.

I have one question: In the last example, why are the even powers of zeta not conjugates over Q with zeta?

I wouldnt recommend this linear algebra book. Determinants are a major part in almost every field connected to linear algebra, for example functional analysis, cryptography, numerical mathemathics, algebraic number theory, linear differential equations in multiple variables, and the list keeps going. Learning them early on and getting a feeling for it is in my opinion quite important. And sure, you can teach linear algebra without them, but so you can do a lot of things. But these tools were developed for a very specific reason, so dont take them away..

Thank you. That was excellent

Thank you!

I'm currently in my second year of marketing and realized i enjoy solving math problems more than studying marketing ( i love marketing but the thing is that when studying math, i lose track of time. Whereas when studying marketing which i love doing, i just find it hard to lose track of time like when studying math). Currently thinking of majoring in math after graduating marketing but i don't know if it's worth it or not 😭

2:18

IMHO it makes no sense to wait so much to learn about Algebraic Topology, it's a fairly easy subject and already viable after Point Set Topology and Group Theory/Abstract Algebra, but it paves the way to readily understand several applications in both Complex Analysis and Differential Geometry!

complete beginner?

No sé absolutamente nada sobre matemáticas, (solo sumar, dividir y multiplicar) de ahí más nada, ya que perdí 4to y 5to año por la cuarentena, de igual manera nunca es tarde

Thank you for immersing such a thoughtful insight into me

Huh?

What a wonderful way of teaching. Bravo!

Man, your video is fascinating. What an age to live in

I think this is one of the videos that got me to switch from physics to maths. Thank you!

Good video bhai. You have good boxing technique here but remember to return your hand to your face so you don't get countered! I wish you the best of luck in your upcoming fight!!

Sir please provide lectures on sieve theory

Well, I don't know why I have studied some commutative algebra though, but I really can't understand some popularizations like this or even some books, which really phrases what the algebraic geometry is

thanks for the nice video and the literature list. perfect 🙂

Thank youuu. I am interested in maths but I have a very different life so I can't just go and study it. But self learning guide is what I needed so far because that's what I was doing. Found some books and was checking youtube to learn it but this video will be so helpful. Thank you so much❤❤

I got my degree in pure math next year, but i just found this video :(

So it’s a neat twist on a binary system ? Just 1,0

Great video explained very well ❤

neat to see Dhruv's name again in an unexpected place

Man i love doing pure meth.

God the first “equally” spaced circle of 5ths that’s used a couple times drove me nuts 😂

Hands down the best introduction to algebraic geometry and rings I’ve seen on RUclips! 👏🏼

What car do you have? It looks really sleek and clean. If it’s a Tesla could you specify which model? Thanks.

Group theory is already Greek to me.

Coming back to this video when I understand it properly

Idiotic garbage content. Adblocker totally justified.

Check out the math sorcerer

Great video

There is an absolute truth in math, but we haven't reached it yet

难怪看代数几何里面都是抽象的证明, 人都看懵逼了, 感谢这个视频. 后面介绍的数都翻烂了, 厉害❤

How in the name of fuck does GRH tell you about class numbers

You saved me 10 days of reading through proofs and many books to get this intuitivly 🤣 For some reasons books ussually skip this intuitive part and its most important part for some of us :(

loved it!

The Axler book is quite Bourbakian. If teachers run around shouting `down with determinants' one ends up with students that can neither do calculations nor solve problems.

i came here because another video said that the quintic hypersurface was cause for why there are additional dimensions, that somehow a 3 dimensional shape proved there were 5 dimensions instead of 4, and i get here and all i see is ramblings of methed out mathematicians... does any of this actually correspond to the natural world? like does any of this actually exist somewhere outside your mind?

this is why handing out hard drugs in a math class is a bad idea...

Yes Humans… this is a beautiful argument. Ceasefire NOW… Everything is Connected 🎈🪬🇺🇸🛸🐇🛰️🪤🛼🧣🚀