PROJECT REPORT ON FOURIER SERIES

Abstract

In this report, Fourier Series is extensively discussed to meet expectations. It started with the discovery of trigono metrical series by Daniel Bernoulli and the recognition of the significance of the coefficients by Joseph Fourier, which brought about the series now called Fourier Series to the application of it. The mathematical part in subsequent chapter gave, explicitly though, the definition of some common terminologies and then discuss the calculation of trigonometric series coefficients which later gives the Fourier Series required. There are also good examples to show how Fourier Series may be generat ed depending on the function given. The application of Fourier Series is not left out. This was also discussed exhaustively and buttressed with good exam ples. For credibility sake, a computer result of one of the examples was obtained and compared later to the manually obtained results. The report shows with the aid of diagrams and examples how Fourier Series is involved in the field of engineering and mathematical physics at large. In a nutshell, the role and importance of Fourier Series in the field of technology is discussed.