2 ridiculously awesome log integrals solved using contour integration

Comments · 81

• DO

  @douglasstrother6584 · 3 years ago · pinned

  "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.

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• MA

  @manstuckinabox3679 · 3 years ago (edited)

  &quot;he wakes up amd becomes a real man, until he realizes contour integration is not defined on his feild.&quot;<br><br>Oh, my lord I&apos;m crying, this is the most beautiful string of words a youtuber ever said, I feel so involved in the scriptwriting process, the moment you started the video I knew you were going to reference the complex man, The Integral, the complex, the complex. the whole shebang, fills me with determination for my complex analysis exam (not a traditional one, but still challenging and &quot;graded&quot; non the less). Thank you so much for a beautiful explanation through an example of how this works technically.<br><br>oh and at <a href="https://www.youtube.com/watch?v=STk7zystRP0&amp;t=395">6:35</a> it would have been nice if you explained a bit more why it is a simple pole, I hilariously have my faith in a little conjecture that I&apos;m working to prove or disprove, that given a function of the form (F(z))/Product(Pvn(z))), &nbsp;where Pvn is a polynomial of the first order, the order of the pole depends on the power of Pvn (or by &quot;how much it appears in the product &quot;).

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• MA

  @Matematicand01 · 1 year ago

  Integrals of real variables that must be solved by complex integration are my favorite type

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• BA

  @bauskliedermann9174 · 7 months ago

  How Can a Video be so incredibly chaotic and ugly notated Yet so easy to follow and so well and clear explained. I love it!!! <br>Really great application for Jordans Lemma!

• WO

  @wowbagger7168 · 3 years ago

  Nice introduction and entertainment.

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• BA

  @BadAss_691 · 2 years ago

  What a introduction….MAN to REAL MAN to COMPLEX MAN …. Whoaaaa…

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• KR

  @KramRemin · 2 years ago

  Yes; getting into complex analysis is like puberty for mathematicians.<br>&quot;Today I am a man.&quot;

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• TH

  @theelk801 · 3 years ago

  finally we’re doing the good techniques

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• TR

  @travelnostalgia23 · 10 months ago

  <a href="https://www.youtube.com/watch?v=STk7zystRP0&amp;t=873">14:33</a> dude almost had a heart attack on my brain❤😂😂😂

• MA

  @mariothethird5624 · 3 years ago

  Thank you so much!<br> What you&apos;ve demonstrated in this video is a totally new concept for me. And you explained it so well!!<br><br>I can finally have a slight understanding of how to use complex analysis of integrals thanks to you, so thank you!!<br><br>I love your videos and with each video of yours my ability to deal with all sorts of integrals improves significantly. thank you so much!!

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• SO

  @solitonacademy · 3 years ago

  Great channel...! &nbsp;challenges define the man behind the channel!

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• JU

  @justeon2000 · 3 years ago

  listening to the opening like eye of the tiger before my exam tmrw. great stuff

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