16 Aug 2020
This is a proof of Euler’s Identity using the Taylor Series.
We can write e^iphi as the Taylor Series expansion.
^{n}}{n!})
Let’s visualize this sum. It helps to write out all your terms because you know that the powers of i are going to alternate between 1,-1,i,and -i.
Continue Reading »
15 Aug 2020
This is a quick proof of Euler’s formula without the use of the Taylor Series.
Even with the imaginary number i, this equation is differentiable, so we can take the derivative of :
=\frac{e^{i\phi}}{cos\phi+isin\phi})
Continue Reading »
15 Jul 2020
During quarantine, I decided to make a blog (The Haven) to journal my thoughts and experiences.
Find the source code here.Happy Reading!
Sincerely,
Dylan
Continue Reading »