A Fourier series is a way to represent a periodic function as an infinite sum of sine and cosine terms. These trigonometric functions serve as the fundamental building blocks for many waveforms, allowing complex shapes to be reconstructed using simpler, oscillating components. The key idea is that any reasonable periodic function, no matter how jagged or irregular, can be decomposed into a sum of these smooth waves, each with a specific frequency, amplitude, and phase. This is widely used in fie

A Fourier series is a way to represent a repeating (periodic) function as a sum of simple waves, specifically sines and cosines with different frequencies. The main idea is that even complicated periodic shapes can be built by stacking and combining these basic oscillations. Each term in the series tells you how much of a certain frequency appears in the original function. This viewpoint is especially powerful because it shifts the problem from analyzing shapes in time or space to analyzing freq