A (very) Brief History of the Complex Plane

[@stop1189]

Nice work , you could even teach some math in this style and it would be very nice . Keep up the brief historic videos too .

[@saqlainraza2219]

Man you're the best channel I've found! Everything that I'm interested in regarding mathematics I find in this channel and history is always interesting so that makes it even better!!

[@jtgd]

Love math and history together

[@reptilewithsadhumaneyes]

I love your videos and this is my favorite so far, thanks so much for your hard work : )

[@RonaldModesitt]

Echo to Ganatra's comments. Very well done. Please make more videos.

[@lexflow2319]

Thats crazy man. Good explanation.

[@karanmungra5630]

Happy New Year dude. Hope someone will be able to prove the tough Riemann Hypo in this new year.

[@nonbiological]

We can try

[@orgesleka6780]

Great work. Thanks!

[@antonyjames4441]

The fact that square root of a negative number does not exist in the real number system was recognised by the Greeks. But the credit goes to the Indian mathematician Mahavira (850) who first stated this difficulty clearly. “He mentions in his work ‘Ganitasara Sangraha’ as in the nature of things a negative (quantity) is not a square (quantity)’, it has, therefore, no square root”. Bhaskara, another Indian mathematician, also writes in his work Bijaganita, written in 1150. “There is no square root of a negative quantity, for it is not a square.”

[@maxflentge]

Thanks so much for these videos!

[@samueldeandrade8535]

12:00 "oddly enough, Vessel wasn't a professional mathematician". Man, actually, there is NOTHING odd about that. The odd thing is that people forgot Math, and any other branch of knowledge really, can be studied by anyone. Especially Math! I mean, until being Mathematician became a job, a lot of Mathematics were already developed.

[@brooktewolde5775]

thanks for saving my essay :D

[@tonychinnery]

Its strange that Euler, who came up with the famous identity Z = a(cos(thi) + i sin (thi)) did not think of the complex plane, because the formula seems to indicate a triangle.

[@pelasgeuspelasgeus4634]

He found that formula by setting iθ to the e^x Taylor series but was that legit? The e^x Taylor series was created for real numbers. Did euler prove it is also true for imaginary numbers?

[@ethanjensen7967]

Weierstrass next!

[@yizhang7027]

13:57 Legendre's portrait is incorrect. His wikipedia article has info regarding this.

[@durgeshsharma5757]

Great video

[@michaelgonzalez9058]

Current being continue of negative 1 is the √ of π

[@NikolajKuntner]

Thank you.

[@davidshechtman4746]

Complex analysis....of the history of complex analysis

[@renukareddy2280]

Your talking about 4th dimension tha Godwin Childright traveled through his mind

[@KevE]

Very good video

[@mjnyc8655]

The contribution of de Moivre was skipped over here.

[@venusdreams8774]

Do matrices pleassee

[@Nerdwithoutglasses]

I think we discovered it, not invented, like our ancestors only cares about the whole numbers not all real numbers

[@waliaphellps1745]

Complex numbers do not multiply as vectors, or am I wrong?

[@seanshameless0]

Not as vector but you can explain complex numbers as matrixes

[@serhansahin8989]

👍👍

[@pelasgeuspelasgeus4634]

Complex plane is absurd. Why is the imaginary axis unit (i) depicted equal in length to the real axis unit (1)?