Music: a mathematical offering
Humans can hear frequencies from 20 to 20000 HZ. The maximum frequency that can be represented by digital signal is half the sampling rate. Compact disc is based on the sample rate of 44100 HZ, slightly more than double 20000 HZ, the highest frequency humans can hear. This is an example that technology standard is set according to human physiology.
P 73. Work out the correspondence with Heisenberg uncertainty principle.
P 80. Figure out why square is energy density. This is similar to quantum mechanics, where square is probability.
Read more about Fourier transform. This is the key to understand quantum mechanics.
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