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Rings and Fields

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Cool Math for Hot Music

Part of the book series: Computational Music Science ((CMS))

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Summary

Rings are the basic structures for algebra. We already have many examples of rings: the integers, real and complex numbers, and the structure of addition and multiplication that was defined on ℤn in the chapter about the third torus and its geometry.

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Authors and Affiliations

  1. School of Music University of Minnesota, Minneapolis, Minnesota, USA

    Guerino Mazzola, Maria Mannone & Yan Pang

Authors
  1. Guerino Mazzola
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  2. Maria Mannone
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  3. Yan Pang
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© 2016 Springer International Publishing Switzerland

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Mazzola, G., Mannone, M., Pang, Y. (2016). Rings and Fields. In: Cool Math for Hot Music. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-42937-3_24

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  • DOI: https://doi.org/10.1007/978-3-319-42937-3_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42935-9

  • Online ISBN: 978-3-319-42937-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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