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Olympiad level counting (Generating functions)

2.4M views · May 23, 2022 · Education

Comments · 2.9K

  • @chaotickreg7024 · 4 years ago

    My walk got interrupted by a cop while I was watching this video. I vaguely matched the description of someone checking door handles. They let me go, but somewhere out there is police body cam footage with audio of you being impressed by complex numbers.

    104

  • @msachin4885 · 4 years ago

    There's teaching math, and then there's this channel. This isn't just math education, its a window into the sublime

    6.3K

  • @johnnath4137 · 4 years ago

    "The shortest path between two truths in the real domain passes through the complex plane" - Jacques Hadamard. Excellent video!

    2.5K

  • @requemao · 4 years ago (edited)

    <a href="https://www.youtube.com/watch?v=bOXCLR3Wric&amp;t=234">3:54</a> &quot;To be clear, this lesson is definitely much more about the journey than the destination&quot;.<br><br>This is the biggest difference between this channel and other channels that show math problems: it doesn&apos;t just show you one correct solution to a specific problem, but it teaches you how to think about a new problem. And that is no small feat. Thank you, Grant.

    1.8K

  • @thereadingcafe7246 · 1 year ago

    *watches video a year ago<br>*a year later doing combinatorics:<br>&quot;Hey didn&apos;t 3b1b make a video about that&quot;

    25

  • @KaedennYT · 4 years ago

    &quot;There&apos;s life before you understand generating functions, and then there&apos;s life after you understand generating functions.&quot; Having taken those courses, I can 100% agree.

    4.9K

  • @robyrogo1843 · 4 years ago

    Fun fact : Titu Andreescu (the author of the book ) was the coach behind the only perfect win of USA in IMO ( all 6 students got perfect scores )

    821

  • @leninpavon7985 · 4 years ago

    I&apos;m an Applied Maths major and sometimes is hard to see why I&apos;m learning about complex numbers, analytic geometry and other things and it&apos;s harder to see how they are connected. It&apos;s truly beautiful to see how it all comes together, thanks.

    356

  • @recreaper1682 · 4 years ago

    As a freshman, I understand only a quarter of the things this man says, but somehow, I still find myself learning. This is mystifying to me.

    561

  • @cgillespie78 · 3 years ago

    Complex numbers give you an extra dimension to play with, turning a number line into a Cartesian plane, like a bird&apos;s eye view.

    5

  • @bbb33748 · 4 years ago

    This channel does not simply teach math, it shows math in all of it’s beauty. I would’ve never knew that I like math so much if not for these videos

    643

  • @patrickwienhoft7987 · 4 years ago

    At exactly <a href="https://www.youtube.com/watch?v=bOXCLR3Wric&amp;t=871">14:31</a> I realized where you were going. I just love this feeling when it &quot;clicks&quot; and your videos never fail to deliver on that, thank you for this great content!

    1.7K

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