Fourier coefficients are the numerical values that represent the amplitude of each sinusoidal component in a Fourier series, which is a way to express a periodic function as a sum of sine and cosine functions. These coefficients are essential in Fourier analysis, as they allow us to decompose complex periodic signals into simpler harmonic components. By analyzing these coefficients, one can gain insight into the frequency content of the original function, which is crucial in various applications like signal processing and solving differential equations.
congrats on reading the definition of Fourier coefficients. now let's actually learn it.