Euler formula extends the definition of exponential function to complex number, and establishes the relationship between trigonometric function and exponential function. It not only appears in mathematical analysis, but also occupies a very important position in the theory of complex variable functions, and is also called "overpass in mathematics".
The significance of Euler formula:
Euler formula is the most fascinating formula in mathematics, which connects several most important numbers in mathematics: two transcendental numbers: the base e, pi of natural logarithm; Two units: imaginary unit I and natural unit1; And 0 is called one of the great discoveries of mankind. Mathematicians evaluate it as a "formula created by God".