How Imaginary Numbers Were Invented

I wholeheartedly believe that giving context to the history and slowly guiding students through the mindset of mathematicians is objectively better than spoon-feeding them equations.

Imagine minding your own business as a mathematician and suddenly someone challenges you to MATH DUEL, that can make you lose your job. Man, the older times were really intense for mathematicians.

I can't believe that now, a decade after struggling to understand it, I finally know what "completing the square" means.

It's shocking how thoroughly you managed to deceive me into thinking I almost understood this topic. You, sir, are phenomenal!

Man, change "depressed quadratic" to an obscure magic spell and you literally get a fantasy duel story, complete with a sage old mentor, an underdog protagonist, an enchantment and a boastful proud villain wtf

"I did not deem him capable of finding such a rule on his own." Savage 😂

Visualizing "i" as describing a value that cancels itself out and seeing the CG of e^ix described as a spiraling 3-dimensional waveform with the X & Y functions 90° out of phase may have contributed more to my understanding of physics and mathematics than the entirety of my college calculus courses.

I have a masters degree in physics, so I'm confident in saying I'm pretty good at maths. You describing the completing the square method of solving a quadratic just genuinely blew my mind. I never understood where any of it was coming from and opted instead just to use the quadratic formula and ignore completing the square. I just thought it was entirely irrelevant. But holy wow it makes so much sense now, I see where the steps all come from, and it's actually extraordinarily elegant. It makes soo much more sense now! Just goes to show how much influence a teacher has on their students and why so many people think they're bad at maths. I hope more teachers start teaching things they way you did there. Thank you!

"Anyone who's passed 8th grade knows the general solution." Yes yes, of course, heh... *starts sweating*.

As someone who's really bad with math, these visuals have helped me realize a lot of what I didn't understand with basic algebra and trig functions from school as a kid.

I was one of the worst math graduates in my highschool class but recently I had a spark of love for maths and reteach myself everything. This video is nothing short of amazing. Its just mindblowing!!

It just feels like I've uncovered some chunk of fundamental knowledge of absolute purity. Thank you for letting us fools taste the beauty of maths in a 23-minute video.

History of mathematics should be taught as early as in middle school, and this video tells exactly the reason why it would immensely help students appreciate what they are taught.

I love it when complex equations come down to something elementary like 2+2=4

"Only by giving up maths' connection to reality could it guide us to a deeper truth about how the universe works." Bravo! A thoroughly professional presentation from algebraic dependence on visual geometry through Mediterranean ego vignettes segueing into physics, with remarkable insights along the way, culminating in the quote above.

This video was incredible, I cannot put into words the fantastic journey I experienced in these last few minutes, thinking about the realities of mathematicians, how problems that have been considered to be impossible for thousands of years are solved, and how we naturalize the legacy of these incredible minds. Thanks my friend

We need a Netflix series based on Math history.

Math teachers, please, please, show this kind of stuff during class. It would've changed my life.

I thought I was just going to browse the video but here am i going through it all and even rewinding. Thanks it was very engaging and brilliantly undertaken.

This video is so impressively well made! The storytelling, the animation, the music, the drama, the education!! What triumph!