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ROYMECHX clone of ROYMECH

Table of Fourier Expansions

Introduction

The figures below are examples of typical periodic functions with the associated fourier series. I have also included plots generated using Mathcad illustrating what results from the series with a small mumber of terms included.

 1) Plotted from 0 to 2π with A = 4,0 and with 5 terms )

 2) Plotted from 0 to 2π with A = 4 , α =2 and with 6 terms )

 3) Plotted from 0 to 2π with A = 4, b = 1,0 and with 5 terms

 4) Plotted from 0 to 2π with A = 4, and with 5 terms

 5) Plotted from 0 to 2π with A = 4,0, and with 5 terms.

 6) Plotted from 0 to 2π with A = 4,0 and with 5 terms

 7) Plotted from 0 to 2π with A = 4,0 and with 5 terms

 8) Plotted from 0 to 2π with A = 4,0 and with 5 terms

 Useful Related Links Fourier Series ...Very clear cand comprehensive Notes Fourier Series Applet .. Applet Illustrating fourier series for different waveforms.