Contributions of Leonhard Euler To Mathematics - Complex Analysis

Complex Analysis

Euler made important contributions to complex analysis. He discovered the scientific notation. He discovered what is now known as Euler's formula, that for any real number, the complex exponential function satisfies

This has been called "The most remarkable formula in mathematics " by Richard Feynman. Euler's identity is a special case of this:

This identity is particularly remarkable as it involves e, i, 1, and 0, arguably the five most important constants in mathematics.

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