- #1

- 23

- 0

ok, here it goes, why is e^(pi.i)=-1 ?

Last edited:

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter sebasalekhine7
- Start date

- #1

- 23

- 0

ok, here it goes, why is e^(pi.i)=-1 ?

Last edited:

- #2

Integral

Staff Emeritus

Science Advisor

Gold Member

- 7,212

- 56

It comes form Eulers relationship

[tex] e^{ix} = \cos(x) + i \sin(x) [/tex]

Edit: LOL, I fixed it already!

Now I am moving this to Math.

[tex] e^{ix} = \cos(x) + i \sin(x) [/tex]

Edit: LOL, I fixed it already!

Now I am moving this to Math.

Last edited:

- #3

freemind

- #4

- 23

- 0

- #5

freemind

- #6

Integral

Staff Emeritus

Science Advisor

Gold Member

- 7,212

- 56

In addition it uses each of the fundamental mathematical operations, addition, multiplication, exponentiation, and equality. It is consider mathematical poetry.freemind said:It is commonly regarded to be one of the most (ahem) beautiful and elegant mathematical relationships in our universe (yes,our). C'mon, wouldn't you agree that it is beautiful, succinctly relating the 5 most important numbers in mathematics?!?! ([tex] e^{\pi i} + 1 = 0 [/tex])

Share: