What is the relationship between Fourier transformation and Fourier series? Is there any connection between Fourier transformation of a function and its Fourier series of the function? I only know the formula to find Fourier transformation and to find Fourier coefficients to find the corresponding Fourier series.

The series and the transform are related. The series occurs when we transform a periodic signal. 
Informally speaking, the transform of a periodic function looks like a comb and the spikes in that comb correspond to the terms of the series.
The transforms of nonperiodic functions are not like this. They contain a continuum of frequencies, not just discrete multiples.
