Harmonics and periodic functions: a computer-aided path to introduce Fourier analysis

• María Teresa Galiza ^[1] ; María Mascarelo
  1. [1] Polytechnic University of Turin

     Polytechnic University of Turin

     Torino, Italia

     
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 41, 1995, págs. 33-49
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this work we will show a computer-aided path, leading from basic trigonometric concepts to periodic functions and Fourier polynomials. This path has been developed at the Politecnico of Torino, and it is given in the second course of Mathematical Analysis to 20 year-old students, as introduction to Fourier analysis. Having experimented it successfully for several years, we are encouraged to show it to colleagues, believing it useful in standing some fundamental concepts that are applied mainly to Fourier analysis, but also to many other topics, as Physics, Mechanics, Electronics and Computer Sciences.

    This path can be performed in any basic mathematics course, with the help of a P.C., using a Symbolic Mathematical System; we carry it out by DERIVE.