In 1748, Swiss mathematician Leonhard Euler published his most famous and monumental work of mathematical analysis: Introductio in analysin infinitorum, or Introduction to the Analysis of the Infinite. Through the paper, Euler‘s identity was born.
e^(iπ) + 1 = 0, where e (2.71828...) is the base of natural logarithms, π (3.14159...) is the ratio of the circumference of a circle to its diameter, and i is the imaginary unit that corresponds to the square root of -1 (i=√-1).
Keith Devlin, a Stanford University mathematics professor, once said, "Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence." Considering the applications of this simple identity, mathematicians can't help but agree.
The equation shows that all mathematics, numbers, principles, and formulas are interconnected. If you think about it, it's truly beautiful.
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