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/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Animations: Brainup Studios (email: mail@brainup.in) Timestamps/Extra Resources 2:42 - 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/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar