The Most Beautiful Equation in the World of Mathematics
Euler’s identity equation is considered the most beautiful equation in the field of mathematics. But why?
We all know about π, the magical ratio of a circle’s circumference to its diameter. It is represented as 22/7 (approximation). The speciality of the value of π is that, when represented in decimals, the numbers after the decimal point never stop. It is approximately 3.141592653589793238… This is why π is an irrational number — you can’t write it down as a non-infinite decimal.
Let me tell you about another interesting irrational number, e. e literally stands for Euler’s number, and we’re gonna learn a lot about e in this article. It is also an irrational number. The first few digits of e are 2.7182818284590…
Despite being just a cool number, it holds a ton of significance in the field of mathematics. It is also used in logarithmic functions and when used as the base for a logarithm, we call that logarithm the natural logarithm and write it as ln x.
Now, what does this mean? It means, for a natural logarithm f(x)=ln(x), is the power to which e must be raised to obtain x. Now, you might ask how is the value of e calculated. Well, there are several definitions.
