Science and Technology Magazine

For scientist and engineers

Nabaraj Shrestha

  • Derivation of Euler’s formula for imaginary numbers

    Derivation of Euler’s formula for imaginary numbers

    The Euler formula, one of the most remarkable equations in mathematics, elegantly connects complex analysis, trigonometry, and exponential functions. It is named after the Swiss mathematician Leonhard Euler, who first introduced it in the 18th century. The formula is expressed as: $$e^{ix} = \cos{x} + i\sin{x}$$ Where: e is the base of the natural logarithm,…