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Mathematics

Euler's Formula and the Unity of Exponential and Trigonometric Functions

Quick fact

Euler's formula, e^(iπ) = -1, links the most important constants in mathematics (e, i, π, 1, and 0) into a single, surprising statement, often called the most beautiful equation in mathematics.

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You know that multiplication and rotation seem like different operations, but what if they were actually the same? What if the exponential function, the master of growth, could also describe the rhythm of a circle?

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Euler's Formula and the Unity of Exponential and Trigonometric Functions

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