e (Euler's Number) is seriously everywhere | The strange times it shows up and why it's so important

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/STEMerch Store: https://stemerch.com/Support the Channel: https://www.patreon.com/zachstarPayPal(one time donation): https://www.paypal.me/ZachStarYTInstagram: https://www.instagram.com/zachstar/Twitter: https://twitter.com/ImZachStarJoin Facebook Group: https://www.facebook.com/groups/majorprep/Animations: Brainup Studios (email: [email protected])Timestamps/Extra Resources2:42 - Derangements (https://en.wikipedia.org/wiki/Derangement)3:11 - Optimal Stopping (https://en.wikipedia.org/wiki/Optimal_stopping)5:25 - Infinite Tetration (https://en.wikipedia.org/wiki/Tetration)6:25 - 1958 Putnam exam question (https://mks.mff.cuni.cz/kalva/putnam/putn58.html)9:33 - Fourier Transform (GIF credit to 3blue1brown, check out his video on the FT here: https://www.youtube.com/watch?v=spUNpyF58BY)10:56 - Gamma Function (https://en.wikipedia.org/wiki/Gamma_function)12:53 - Casimir Effect Paper (https://arxiv.org/pdf/hep-th/9901011.pdf)13:20 - Higher Dimensional Spheres (https://en.wikipedia.org/wiki/Volume_of_an_n-ball)►My Setup:Space Pictures: https://amzn.to/2CC4KqjMagnetic Floating Globe: https://amzn.to/2VgPdn0Camera: https://amzn.to/2RivYu5Mic: https://amzn.to/2BLBkEjTripod: https://amzn.to/2RgMTNLEquilibrium Tube: https://amzn.to/2SowDrh►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar