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The Cauchy-Riemann Equations - Complex Analysis By A Physicist 

Nick Space Cowboy
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In this video we do 8 examples where we test complex functions for complex differentiability with the Cauchy-Riemann Equations. The Cauchy-Riemann equations are crucial in testing for complex differentiability, and are incredibly important in complex analysis.
Intro Song: Mirror Mind - Bobby Richards, Obtained through the RU-vid Audio Library

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25 фев 2021

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Комментарии : 31   
@MichaelMarteens
@MichaelMarteens
FELLOW MATH MAJORS: Hi, I am also a math major, and I'm nearing the end of my complex analysis course. I can vouch that these videos are great and applicable to those interested in pure mathematics. Don't let the title scare scare you away. Do well!
@douglasstrother6584
@douglasstrother6584 Год назад
"Complex Variables" by John W. Dettman is a great read: the first part covers the geometry/topology of the complex space from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective.
@KaranSharma-ew7io
@KaranSharma-ew7io 2 года назад
why talented guy like you have to struggle on youtube . Your content is lit man
@adiba5237
@adiba5237 Год назад
Please remove bg music
@yurigansmith
@yurigansmith 2 года назад
I like the analogy where analicity is equivalent to rotation freeness. Then it's very intuitive that closed path integrals must vanish, as long as the region is simply connected.
@crystal_royal3405
@crystal_royal3405 2 года назад
remember me when you get famous
@CreamyFucker
@CreamyFucker Год назад
I love you. Thank you for saving my grade
@strugglingP6student
@strugglingP6student
thanks a lot! I didn't understand the discussion of this topic in math methods by arfken but this video gave me many insights. thanks again!
@dantethunderstone5766
@dantethunderstone5766 2 года назад
Nice job with this Nick. A much clearer presentation than the other videos I've seen. Physicists really do make better teachers than mathematicians :)
@sherrywang4233
@sherrywang4233 2 года назад
thank u for saving my life
@ayeflippum
@ayeflippum 2 года назад
10:07
@rookie2128
@rookie2128 Год назад
HUGE thanks man this video allowed me to understand the topic 1 hour right before a test from this very thing so it really saved my ass
@KhangLe-hc4sw
@KhangLe-hc4sw Год назад
thank for your lesson
@brandonhines9816
@brandonhines9816 2 года назад
great vid man, thank you
@midnightmadness1714
@midnightmadness1714 2 года назад
WOW sir, really mad emy life easier. Thank you so much, please keep on posting.
@yanisberger1476
@yanisberger1476 2 года назад
Thank you, seems really easy the way you explained it now! Something my professor couldn‘t do.
@lasithathilakarathne3205
@lasithathilakarathne3205 2 года назад
In the second example, you say 3 = 3xy^2 is only possible for x=1 and y=+1 or y=-1, what if x = 4 and y = 1/2? something like that?
@SamsungA04e-dp7kj
@SamsungA04e-dp7kj
1.Global
@nopepae
@nopepae
how 'bout z^n
@Hadeerkhafagy24699
@Hadeerkhafagy24699 3 года назад
Excuse me please, may you answer this question please.
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