The Most Beautiful Equation

Euler’s Identity

Euler’s Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet. The physicist Richard Feynman called it “the most remarkable formula in mathematics”.

The Five important mathematical constants in Euler’s Identity:

The number ‘0’: Zero is the only integer that is neither negative nor positive. It is also the only number that cannot be divided by itself.

The number ‘1’: The number one is the smallest natural number, the factor of every number and is neither prime nor composite.

The imaginary number ‘i’: An imaginary number denoted by the symbol ‘i’ , is a number that when squared is a negative number. The symbol ‘i’ is equal to the square root of -1: √(-1). The imaginary number is not a real number in mathematics since no number can be multiplied by itself to produce a negative number, but there are situations where one needs to take the square root of a negative number like in electricity, more specifically alternating current (AC) electronics.

The number ‘π’ (Pi): Pi is an irrational number meaning the digits never end. It is the ratio of the circumference of a circle to its diameter: (C/d), and is approximately 3.1415…