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The set is significant both in the development of the theory of
banking and in terms of documenting the history of banking in the
United States. It examines the development of banking in the United
States in the first half of the nineteenth century. When Congress
first tried to introduce a unified currency to finance a national
army it failed because of the large number of counterfeit notes in
circulation. Similarly two attempts to set up a central bank
resulted in bankruptcy. Even after the Mint was set up, the Federal
government's theoretical monopoly over coinage did not stop states
from using their charter to set up note issuing banks. The
resulting corruption and fraud let to experiments in regulation and
a system of "free banking." The material included examines such
issues as the role of a central bank, banking regulation, banks and
the money supply.
The second volume of a commonsense, self-contained introduction to
the mathematics and physics of music, focusing on the digital and
computational domain; essential reading for musicians, music
engineers, and anyone interested in the intersection of art and
science. Volume 2 of Musimathics continues the story of music
engineering begun in Volume 1, focusing on the digital and
computational domain. Loy goes deeper into the mathematics of music
and sound, beginning with digital audio, sampling, and binary
numbers, as well as complex numbers and how they simplify
representation of musical signals. Chapters cover the Fourier
transform, convolution, filtering, resonance, the wave equation,
acoustical systems, sound synthesis, the short-time Fourier
transform, and the wavelet transform. These subjects provide the
theoretical underpinnings of today's music technology. The examples
given are all practical problems in music and audio. Additional
material can be found at http://www.musimathics.com.
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