Euler's Formula Beyond Complex Numbers Published 2023-05-13 Download video MP4 360p Recommendations 25:03 Finding Velocity On a Sphere Using a 3D Euler's Formula 21:46 Complex Numbers Have More Uses Than You Think 23:34 Is this one connected curve, or two? Bet you can't explain why... 31:51 Visualizing quaternions (4d numbers) with stereographic projection 31:17 What Gear Shape Meshes With a Square? 18:07 18 year old students just discovered a proof of Pythagoras that mathematicians said was impossible 45:04 Why There's 'No' Quintic Formula (proof without Galois theory) 18:38 Navigating an Infinitely Dense Minefield | Why Measure Infinity? 22:08 When CAN'T Math Be Generalized? | The Limits of Analytic Continuation 38:52 Let's Invent the Triplex Numbers 20:47 The Concept So Much of Modern Math is Built On | Compactness 38:33 Number Systems Invented to Solve the Hardest Problem - History of Rings | Ring Theory E0 24:28 Euler's formula with introductory group theory 22:38 How To Catch A Cheater With Math 19:14 The strange cousin of the complex numbers -- the dual numbers. 14:47 An Exact Formula for the Primes: Willans' Formula 08:24 |i Factorial| You Won't Believe The Outcome 08:49 Euler vs Quaternion - What's the difference? 47:06 It Took 2137 Years to Solve This 36:51 Why are there no 3 dimensional "complex numbers"? Similar videos 04:41 Euler's Formula 00:12 Visualizing Euler's formula. 21:23 Euler's Formula - Numberphile 03:57 Proof of Euler's Formula Without Taylor Series 04:08 e^(iπ) in 3.14 minutes, using dynamics | DE5 20:54 Euler's formula and continuous rotations | Complex numbers episode 3 05:47 Imaginary Numbers Are Real [Part 1: Introduction] 13:08 Why do Electrical Engineers use imaginary numbers in circuit analysis? 13:11 Why do trig functions appear in Euler's formula? 26:07 Deriving Euler's formula four ways! 12:29 The hidden link between Prime Numbers and Euler's Number 01:45 Euler's Method scene in Hidden Figures 00:35 Euler's Identity 22:11 But what is the Riemann zeta function? Visualizing analytic continuation 13:42 The beauty of complex numbers 15:51 e (Euler's Number) is seriously everywhere | The strange times it shows up and why it's so important 00:54 3D Visualization and Animation of Euler's Formula using Python and Manim More results