Euler’s Formula
by Marshall on February 24, 2005
So my Physics professor jarred my memory and mentioned Euler’s Formula, specifically this case:
. What is interesting about this identity is that it involves the fundamental numbers i, pi, e, 1, and 0.
One comment
This is probably my favorite mathematical identity. It is an instance of this math formula:
e^(a+bi) = e^a ( cos b + i sin b )
which links together the exponential function and the trigonometric functions.
You can also represent cos and sin in terms of e in a way very similar to hyperbolic trig functions, which is why they hyperbolics are named sinh and cosh.
by donnie on February 28, 2005 at 12:21 pm. #