Fourier transform and fast fourier transform

1. What is the difference between Fourier transform and fast Fourier transform?
2. What is meant by fast Fourier transform?
3. Which is better FFT or DFT?

What is the difference between Fourier transform and fast Fourier transform?

The only difference between FT(Fourier Transform) and FFT is that FT considers a continuous signal while FFT takes a discrete signal as input. DFT converts a sequence (discrete signal) into its frequency constituents just like FT does for a continuous signal.

What is meant by fast Fourier transform?

A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa.

Which is better FFT or DFT?

FFT algorithms are faster ways of doing DFT. It is a family of algorithms and not a single algorithm. How it becomes faster can be explained based on the heart of the algorithm: Divide And Conquer.