1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What your favorite variation of : Euler's Formula

  1. Feb 17, 2008 #1
    "What your favorite variation of" : Euler's Formula

    I generally find that mathematicians always have a preferred way of writing an expression, whether be it because to them it's more aesthetic pleasing or easier to memorize. Few expressions, however, lend themselves to many forms as thus Euler's famous equation: [tex]e^{ix} = cos(x) + isin(x)[/tex].

    I've seen it written with pi, infinite series, limits, derivatives, etc.
    Here is my personal favorite
    [tex]\sqrt{e^{-\pi}} = i^i[/tex]

    You turn. =)
  2. jcsd
  3. Feb 19, 2008 #2
    I would have to stick with the classic:

    e^(ipi) +1 = 0

    It has multiplication, addition and exponents which are the three major operations, the multiplicative identity, the additive identity, equality, as well as two transcendental numbers and i, the imaginary unit.

    I mean, after all, what more do you need that that? I think it is so beautiful I am going to have it tatooed on my ankle.

    (yes, major geeky, but worth it.)
  4. Feb 19, 2008 #3
    I also find this mathematical equation beautiful...but i wouldnt have it tatooed on me, i have poster of it on my wall
  5. Feb 20, 2008 #4
    how about:
    [tex]e^{i\pi} = 1 + i\pi - \frac{\pi^2}{2!} - \frac{i\pi^3}{3!} + \frac{\pi^4}{4!} + \frac{i\pi^5}{5!}...[/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - favorite variation Euler's Date
I Question on Calculus of variations formalism May 29, 2016
Systems of Equations: What's your favorite way to solve them? Jul 31, 2015
Favorite Equation Of All Time? Feb 12, 2010
Favorite Proof? Jan 25, 2009
Favorite equation Feb 9, 2007