Fourier Series Calculator
Free, instant fourier series calculator with step-by-step solutions, transparent formulas, and verification.
Quick answer
A Fourier series approximates a periodic function with a constant term plus sine and cosine harmonics. Increasing the harmonic count improves detail but can produce Gibbs overshoot at jumps.
Formula and calculation method
f(x)≈a₀/2+Σ[aₙcos(nπx/L)+bₙsin(nπx/L)], with coefficients defined by integrals over one period.
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