Using Maxima to plot error in Fourier series

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SUMMARY

This discussion focuses on using Maxima, specifically with the WxMaxima interface, to analyze the error in Fourier series as the number of terms increases. The user has successfully generated a Fourier series and plotted partial sums but is seeking assistance with error analysis. Experienced users of Maxima are encouraged to provide insights or solutions to enhance understanding of error behavior in Fourier series.

PREREQUISITES
  • Familiarity with Maxima Computer Algebra System (CAS)
  • Understanding of Fourier series concepts
  • Experience with plotting in WxMaxima
  • Basic knowledge of error analysis in mathematical series
NEXT STEPS
  • Explore error analysis techniques in Fourier series
  • Learn how to use Maxima's plotting functions for error visualization
  • Investigate the convergence properties of Fourier series
  • Review documentation on WxMaxima for advanced plotting options
USEFUL FOR

Mathematicians, educators, and students interested in Fourier analysis, as well as users of Maxima and WxMaxima looking to deepen their understanding of error behavior in series approximations.

Allan McPherson
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I'm trying to use Maxima to examine the error in a Fourier series as the number of terms increases. I've figured out how to produce a Fourier series and plot partial sums, but this has me stumped.

If anyone experienced with the Maxima CAS has some insight into this, I would greatly appreciate the help.
 
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Allan McPherson said:
I'm trying to use Maxima to examine the error in a Fourier series as the number of terms increases. I've figured out how to produce a Fourier series and plot partial sums, but this has me stumped.

If anyone experienced with the Maxima CAS has some insight into this, I would greatly appreciate the help.
Hi Allan,
I use Maxima with WxMaxima a lot so possibly I can help if you post or send me what you've done so far.

M
 

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