Zach Star

Create your own website for free at Wix: https://www.wix.com/go/majorprep STEMerch Store: https://stemerch.com/ Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Books You May Be Interested In (Sources/Motivation for this video) The Drunkards Walk: https://amzn.to/2Zms3gT The Numbers Behind Numb3rs: https://amzn.to/2V8pqjx ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►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

Be sure to watch the previous video first if you haven't yet (https://youtu.be/bDZieLmya_I). This video is a follow up. STEMerch Store: https://stemerch.com/ Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►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 Amazon Store: https://www.amazon.com/shop/zachstar

WARNING: If you haven't see this paradox before (and probability isn't your thing), it may seem like math is broken here. I just want to say that it's not and it took me A LOT of thinking to finally see why. I encourage you to watch the video and see what conclusions you come to, but then check out the follow up video (https://youtu.be/ElB350w8iJo), or pinned comment, for more of an explanation about what's going on. STEMerch Store: https://stemerch.com/ What is the chance that a parent has two daughters, given the fact that they have two children, at least one of which is a girl named Julie? Book that I reference (The Drunkard's Walk): https://amzn.to/2TY8ibO See pinned comment for additional information. ►References (note, even some of the sources don't fully agree) https://en.wikipedia.org/wiki/Boy_or_Girl_paradox https://leightonvw.com/2017/03/03/the-puzzling-problem-of-a-girl-named-florida/ https://math.stackexchange.com/questions/2149812/the-two-daughter-problem https://math.stackexchange.com/questions/4400/boy-born-on-a-tuesday-is-it-just-a-language-trick https://science.slashdot.org/story/10/06/28/2221252/the-tuesday-birthday-problem http://allendowney.blogspot.com/2011/11/girl-named-florida-solutions.html Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►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 Amazon Store: https://www.amazon.com/shop/zachstar

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/ This video goes over the real world applications of parabolas, hyperbolas, ellipses, and circles. Numberphile Video: https://www.youtube.com/watch?v=4KHCuXN2F3I ►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

Create your own website for free at Wix: https://www.wix.com/go/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/ ►Other Videos You May Enjoy My First Internship: https://www.youtube.com/watch?v=Pa7immwyqAQ My First Engineering Job: https://youtu.be/0BS2TMLPyGw Why I Quit My First Job: https://youtu.be/LEU1DfcJg4E ►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

Get free access to over 2000 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up). 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/ ►Resources 3Blue1Brown Collision Video: https://www.youtube.com/watch?v=HEfHFsfGXjs List of Equations Involving Pi: https://en.wikipedia.org/wiki/List_of_formulae_involving_%CF%80 Buffon's Needle: https://www.youtube.com/watch?v=szUH1rzwbAw Stirling's Formula: https://terrytao.wordpress.com/2010/01/02/254a-notes-0a-stirlings-formula/ Stirling's Formula Modification (Gosper's Approximation): https://math.stackexchange.com/questions/2205128/how-is-gospers-approximation-to-factorial-derived Riemann Zeta Function: https://en.wikipedia.org/wiki/Riemann_zeta_function Random Walk: https://en.wikipedia.org/wiki/Random_walk Random Walk (Calculating Pi): https://www.wired.com/2017/03/hey-can-find-pi-random-walk-heres/ ►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

Sign up with Coursera and start learning for free: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%3Futm_term%3Dmajor_prep_post_pi_day_2019 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/ ►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

Get free access to over 2000 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up). 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/ ► Sources The Theory That Would Not Die: https://amzn.to/2F4kmUz Fisherman, Full Story: https://www.nytimes.com/2014/01/05/magazine/a-speck-in-the-sea.html?smid=pl-share Inverse Cube Law: http://www.orsj.or.jp/~archive/pdf/e_mag/Vol.36_02_090.pdf Missing Nuclear Bomb: https://en.wikipedia.org/wiki/1966_Palomares_B-52_crash Air France 447: https://projecteuclid.org/download/pdfview_1/euclid.ss/1399645730 https://www.bea.aero/uploads/tx_elyextendttnews/metron.search.analysis.pdf Federalist Papers: https://priceonomics.com/how-statistics-solved-a-175-year-old-mystery-about SS Central America & USS Scorpion (along with several others): https://www.nps.edu/documents/103424533/106018074/Bayes+Search+for+Missing+Aircraft+NPS+20+Apr+2017.pdf/051a76bc-18cc-47a7-b8b8-52d92d618dfe Alan Turing/Enigma: https://arxiv.org/pdf/1505.04714.pdf Numberphile Video: https://www.youtube.com/watch?v=G2_Q9FoD-oQ ►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

Enroll in Coursera's "Learning How to Learn" Course: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Flearning-how-to-learn%3Futm_term%3Dmajorprep_learning-how-to-learn_jan2019 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/ ►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

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/ ►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

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►Other videos you may enjoy Why we're misinformed about the world: https://youtu.be/ioxWuCd-mn0 When numbers don't tell the full story: https://youtu.be/FUknTs9AzYA The friendship paradox: https://youtu.be/GEjhO65FYks This video is about how misleading statistics can be (even when the numbers are 100% correct). Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Book that Motivated This Video: https://amzn.to/2WEUYLM ►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

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 Traffic Animation (from CGP Grey): https://www.youtube.com/watch?v=iHzzSao6ypE&feature=youtu.be&t=144 Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►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

Click here to enroll in Coursera's "Cryptography I" course (no pre-req's required): https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fcrypto%3Futm_term%3Dmajorprep_cryptography_jan2019 STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT If you missed part 1: https://youtu.be/uNzaMrcuTM0 Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►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

Click here to enroll in Coursera's "Cryptography I" course (no pre-req's required): https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fcrypto%3Futm_term%3Dmajorprep_cryptography_jan2019 STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Watch Part 2: https://youtu.be/xmwxDHX6xUc Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►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

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/ ►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

Get 2 months of Skillshare for FREE using this link: https://skl.sh/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/ ►Explanations of some of the mentioned unexpected patterns https://johncarlosbaez.wordpress.com/2018/09/20/patterns-that-eventually-fail/ ►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

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 This video goes over the topic of group theory and gives a brief overview of how the mathematics of symmetry works. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Versión en español de este video: https://www.youtube.com/watch?v=U2AQqyrMt-M Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Follow MajorPrep on Twitter: https://twitter.com/MajorPrep1 We all know that engineers need mathematics but we often don't talk about this in reverse. In this video I go over how engineering can come into play within problems that seem to be related to just math. ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj 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

Check out the Machine Learning Course on Coursera: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fmachine-learning%3Futm_term%3Dmp_ml_nov18 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/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj 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

Check out the Discrete Mathematics for Computer Science Courses: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Fspecializations%2Fdiscrete-mathematics%3Futm_term%3Dmp_cwm_nov18 STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT The course I am going through is graph theory (meant for complete beginners, mostly basic high school math required as a pre-req). I get through 6 questions in the video which are all put on the screen before attempting them. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Enroll in the Python for Everybody Specialization: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Fspecializations%2Fpython%3Futm_term%3Dmppfe 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/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj 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

STEMerch Store: https://stemerch.com/ If you missed part 1: https://www.youtube.com/watch?v=J6qtNLZIWd0 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/ ►Check out the Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Part 2: https://youtu.be/5Sv-zcHPMbw 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/ Video Topics -Thales of Miletus: 0:36 -4 Elements: 1:11 -Archimedes: 1:46 -Optics: 4:25 -Rainbows: 5:29 -Magnetism/The Compass: 6:10 -Galileo: 7:29 -Isaac Newton: 8:30 -Leyden Jar: 10:20 -Double Slit Experiment: 11:24 -James Joule/Thermodynamics: 12:25 -Maxwell's Equations: 14:06 -X-Rays: 14:39 -Radioactivity: 16:00 -Alpha/Beta Radiation: 17:26 -Gamma Radiation: 17:47 ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Versión en español de este video: https://www.youtube.com/watch?v=Jt30nstd_Sc Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Courses Offered Through Coursera (Affiliate Links) Logic: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fmathematical-thinking Graph Theory: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fgraphs Discrete Math (includes a range of topics meant for computer scientists including graph theory, number theory, cryptography, etc): https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Fspecializations%2Fdiscrete-mathematics Intro to Complex Analysis: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fcomplex-analysis Game Theory: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fgame-theory-1 Cryptography: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fcrypto ►Books (Affiliate Links) Graph Theory: https://amzn.to/2IUXQ0A Logic/Proofs: https://amzn.to/2Cgh2oj Algorithms: https://amzn.to/2Cg0kWg Cryptography: https://amzn.to/2CKIATS Fermat's Last Theorem: https://amzn.to/2yzWNhY Chaos Theory: https://amzn.to/2Cgup83 ►Related Youtube Videos Turning a Sphere Inside Out: https://www.youtube.com/watch?v=-6g3ZcmjJ7k Cutting a Mobius Strip (Visual): https://www.youtube.com/watch?v=XlQOipIVFPk Group Theory Lectures: https://www.youtube.com/watch?v=O4plQ5ppg9c&index=1&list=PLAvgI3H-gclb_Xy7eTIXkkKt3KlV6gk9_ Chaos Theory Lectures: https://www.youtube.com/watch?v=ycJEoqmQvwg&index=1&list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V Geodesics Animation: https://www.youtube.com/watch?v=Wl8--BsbNnA ►Check out my Amazon Store: https://www.amazon.com/shop/zachstar

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/ ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar