Euler's Formula
Entity6 videos from 3 channels
A formula in complex analysis that establishes the fundamental relationship between trigonometric functions and complex exponentials, attributed to mathematician Leonhard Euler.
18:53Accepting Complex Numbers: Hamilton vs Euler
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor…
14:29De Moivre's Formula for Complex Numbers: A Precursor to Euler's Formula
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor…
20:11Euler's Formula
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor…
27:49The Physics of Euler's Formula | Laplace Transform Prelude
The simple harmonic oscillator and the fundamental role of complex exponents for ODEs. Next chapter on the Laplace…
1:46The dynamics of e^(πi)
A fuller version of this explanation, also including the reason we care about complex exponents in the first place:…
7:41Sum of n/2^n*cos(n*pi/3) using complex numbers
We will see how to evaluate the infinite series of n/2^n*cos(n*pi/3) by using Euler’s formula 0:00 The trick is to use…