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. . .
Is it really necessary to define waves in "the most general
mathematical way" when they are introduced for the first time.
What is wrong with saying "many kinds of waves exist but
TO BEGIN WITH we will limit our attention to harmonic
waves"? That is good enough for ordinary acoustics, for
explaining diffraction phenomena, for Fourier synthesis
or analysis, etc. In other words, what is wrong with the
traditional approach used in textbooks?
Ludwik Kowalski