🔑Fourier series is a mathematical tool that allows us to approximate periodic functions by adding up sine and cosine terms.
🧮Fourier series has applications in various fields, including physics, engineering, and electrical engineering.
🔄By extending the function periodically, we can use Fourier series to approximate functions beyond their original intervals.
🔗The coefficients in the Fourier series can be found by evaluating the integrals of the original function multiplied by sine and cosine terms.
🎯The convergence of Fourier series depends on the properties of the original function and can lead to Gibbs phenomenon near discontinuities.
