General purpose of this lecture is to presentation on Fourier Analysis. Fourier analysis may be the study of just how general functions might be represented or approximated by sums involving simpler trigonometric capabilities. Fourier analysis grew in the study of Fourier series, and is referred to as after Joseph Fourier, who showed that will representing a be a sum involving trigonometric functions greatly simplifies the analysis of heat exchange. Here alsobrily discuss on Frequency analysis as a powerful tool, tour of Fourier Transforms, Discrete Fourier Series and Continuous Fourier Series etc. with examples.