Final answer:
The Fourier Series represents periodic signals with discrete spectral components, while the Fourier Transform represents non-periodic signals with a continuous frequency spectrum.
Step-by-step explanation:
The difference between Fourier Series and Fourier Transform lies in the type of signals they are used to analyze and represent. A Fourier Series is used to represent periodic signals, decomposing them into a sum of sines and cosines with discrete frequencies that are integer multiples of a fundamental frequency. In contrast, the Fourier Transform deals with non-periodic signals and expresses them as a continuous integration of sines and cosines over all possible frequencies. Essentially, a Fourier Series is applicable when the signal is periodic and the representation is comprised of a discrete spectral components, whereas the Fourier Transform is used when the signal is aperiodic or non-periodic and requires a continuous frequency spectrum for representation.