The Cauchy-Riemann Equations - Complex Analysis By A Physicist

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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 YouTube Audio Library
  1. Nick Space Cowboy
  2. complex analysis
  3. cauchy-riemann
  4. complex differentability
  5. c-r equations
  6. cauchy riemann equations
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Комментарии
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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!

MichaelMarteens
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"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.

douglasstrother
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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

rookie
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Nice job with this Nick. A much clearer presentation than the other videos I've seen. Physicists really do make better teachers than mathematicians :)

dantethunderstone
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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!

strugglingPstudent
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why talented guy like you have to struggle on youtube . Your content is lit man

KaranSharma-ewio
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WOW sir, really mad emy life easier. Thank you so much, please keep on posting.

midnightmadness
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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.

yurigansmith
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Thank you, seems really easy the way you explained it now! Something my professor couldn‘t do.

yanisberger
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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?

lasithathilakarathne
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Excuse me please, may you answer this question please.
I really need the answer.💔
Express the Cauchy Remainn equation in the complex form.
If f(z) is an analytic function, express f`(z) in the complex form.

Hadeerkhafagy
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