How does e relate to pi?

2 Answers
Zor Shekhtman
Apr 27, 2015

These two numbers are not related. At least, they were not related at inception (pi is much-much older, goes back to the beginning of geometry, while e is a relatively young number related to a theory of limits and functional analysis).

This does not exclude certain not very obvious cases where their relationship does exist. I don't have examples off the top of my head, but allow the possibility of their existence.

There is also a statement (which is not true) that e^pi = pi^e. Admittedly, these two expressions are really close in value, but they are not equal.

Jim H
Apr 27, 2015

The famous equation involving both e and pi is Euler's identity:

e^(i pi) +1 = 0

where i is the imaginary unit. (So i^2 = -1.)

Also rendered as

e^(i pi) = -1

Related questions
See all questions in The Natural Base e
Impact of this question
18767 views around the world
You can reuse this answer
Creative Commons License