In approaching the description of a sound wave the mathematics never gives the whole story. The subtleties of thermodynamics are difficult enough to recommend a gradual familiarization with some related problems of vibration such as arise in mechanical sound production [motion of a spring]? [vibration of a string]? [equation of motion]? harmonic?
Besides the the math tools that we will use again, the preceding examples help inform the beginner's physical intuition with analogies to the periodic compression domains transfer function [sound pressure]? [acoustic impedance]? [[acoustic resistance]] law of gases
See [instrumental acoustics]?, [music theory]?
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