diff --git a/guide/english/mathematics/eulers-formula/index.md b/guide/english/mathematics/eulers-formula/index.md
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--- a/guide/english/mathematics/eulers-formula/index.md
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@@ -1,17 +1,17 @@
---
title: Eulers Formula
---
-## Eulers Formula
+## Euler's Formula
-Eulers Formula is a mathematical identity which states that (for any value of x):
- e^(ix)=cosx+isinx
-
-This is of interest because of the following case:
-When x=pi, Euler's Formula gives the beautiful identity invovling pi, e, and i.
+Euler's Formula is a mathematical identity which states that, for any value of x (and where e is the base of the natural logarithm and i is the square root of -1):
- e^(ipi)+1=0,
+ eix = cos x + i sin x
-A famous joke for mathematicians is "How many mathematicians does it take to change a light bulb?" and answers "-e^(ipi)"
+Furthermore, when x = π, Euler's Formula results in the following beautiful identity relating π, e, and i:
+
+ eiπ + 1 = 0
+
+A famous joke for mathematicians answers the question "How many mathematicians does it take to change a light bulb?" with "-eiπ".
Can you tell what the answer is?
This is often used when dealing with complex numbers in exponential form.