In this section of the video, the speaker delves into the interpretation of the Fourier series. They explain that each term in the series represents a sine or cosine function with frequencies that are multiples of the fundamental frequency. The coefficients associated with these terms determine the impact of each term on the overall representation of the function. The speaker highlights that the coefficients indicate the similarity between the original function and the corresponding sine or cosine term. Calculating these coefficients involves using integrals over a period. Additionally, the speaker explains that the Fourier series can accommodate a constant term if the original function has a specific average value. The discussion emphasizes the importance of grasping the underlying concepts of the Fourier series and not merely relying on memorizing formulas. The speaker also mentions the existence of another type of Fourier series called the exponential Fourier series, which incorporates complex exponential functions.