How Imaginary Numbers Were Invented

What started as how to solve the cubic ended up laying the ground work for the wave eq. It's crazy how it's all connected

this is the best video you've ever made.

To be honest, after looking this I also want to know about History of calculas

Question : Why is the imaginary number line perpendicular to the real number line? How do we infer that?

This was so good explained that I'm motivated now

The effort that went into this was not unnoticed (by me, as much as I could lol) Thank you so much on educating me so effectively on this fascinating topic

I dont understand the cube thing but excelent history lesson and great explanations dude

Thank you. Now i finally understand (roughly) how multiplication results in rotation.

4,000 year old genius mathematicians talking about cubic equations the way that we talk about time travel and quantum physics today really puts this stuff into perspective

I had a professor once point out to me that calling them imaginary numbers is really just poor nomenclature, that they do very much exist but are just something that we don't observe by counting

This video felt so short, I was sad when it ended

It blows my mind that you’re able to blow my mind in every single video.

En español latino por favor 🙏🏻❗❗❗

I’ve been in my linear algebra class for a hot minute and I just understood about this adding a square to both sides. Sometimes I just follow a formula and even thought I don’t understand how or why it works I just plug and chug

love BTS for ever

I think the key takeaway from this story is that our observation of “reality” is fundamentally limited in ways that mathematics, and thus the universe, is not

This channel is awesome. Both in terms of video production and, more importantly, selection of inspiring and informative topics for each video. Thank you!

I strongly believe that the visual representations used at the beginning of this video will go a long way in making mathematics considerably easier to understand and more fun. A lot of people just don't have the ability to follow maths based on abstract notations alone

I sometimes try to derive the formula when I'm bored but nothing worked until now

Funny, complex numbers are significantly more geometric than real numbers. Ironic…?

Omar Khayyam is the fellow who wrote the famous Rubaiyat poem. "Wake! For the Sun, who scatter'd into flight
The Stars before him from the Field of Night,
Drives Night along with them from Heav'n,
and strikes
The Sultan's Turret with a Shaft of Light..." etc

Nhận diện thương hiệu mới

Eximbank - Dẫn đầu xu thế

And get theories and explanations with no relevance to reality

Mọi lúc mọi nơi

Thông tin kinh tế, thương mại và Đời sống

Tập đoàn LS

What a marvelous video. Thank you!

Kết nối đam mê

VNPT - Cuộc sống đích thực

Tập đoàn Bưu chính Viễn thông Việt Nam - VNPT

"All these I found, / and not with slow steps / in fifteen hundred thirty four / with firm and vigorous foundations / in the city surrounded by the sea." I love when a truly human element comes out of history. I can practically hear him recognizing his own achievement in real time as he writes that.

Imaginary numbers are as imaginary as infinity. Change my mind.

That is crazy. Geeez!

Thanks!

Epic

Wow what a messed up system that hiding discoveries was actually ENCOURAGED in mathematics back then. I wonder how much progress was lost/slowed down because of it.

❤❤

Math now 1+1=2 WOW, so true Math, then:

😀

Imaginary numbers might be just that - imaginary. God is after all, creative and imaginative.

What kind of sorcery are you yapping about? 😭😭😭

Negative 1, instead of negative 27 at the beginning of the video )

I'm no expert in math and quite frankly, not even in middle school, but isn't 2 raised to the power of 3 equal to 8, instead of 6?

It’s always Italy

The lore of mathematics is very interessing, makes me hyped for the next episodes and seasons, what a banger.

Damn I didn’t know the quadratic