Real Numbers

Guerino Mazzola; Maria Mannone; Yan Pang

doi:10.1007/978-3-319-42937-3_12

Real Numbers

Guerino Mazzola
, Maria Mannone
, Yan Pang

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We have used the philosophy of the problem being the solution to construct integer and rational numbers when dealing with equations of type a + x = b or a • x = b. But there are many other equations, especially dealing with approximations in music theory, that cannot be solved with Z or Q. In this chapter we apply the above philosophy to find solutions of such problems, namely the real numbers.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	99-105
Number of pages	7
DOIs	https://doi.org/10.1007/978-3-319-42937-3_12
State	Published - 2016

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.

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10.1007/978-3-319-42937-3_12

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AB - We have used the philosophy of the problem being the solution to construct integer and rational numbers when dealing with equations of type a + x = b or a • x = b. But there are many other equations, especially dealing with approximations in music theory, that cannot be solved with Z or Q. In this chapter we apply the above philosophy to find solutions of such problems, namely the real numbers.

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UR - https://www.scopus.com/pages/publications/85136676962#tab=citedBy

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ER -

Real Numbers

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