The Physics of Euler's Formula | Laplace Transform Prelude
From 3Blue1Brown
The simple harmonic oscillator and the fundamental role of complex exponents for ODEs. Next chapter on the Laplace Transform video: https://youtu.be/j0wJBEZdwLs Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Timestamps: 0:00 - Intro 1:51 - Euler's formula explained dynamically 9:27 - The harmonic oscillator 21:08 - General linear equat...
Mentioned in This Episode
- Laplace transform (concept)
- e^(st) (concept)
- complex plane (concept)
- exponential functions (concept)
- damped harmonic oscillator (concept)
- Fourier series (concept)
- Newton's second law (concept)