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Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels (Hardcover)
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Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels (Hardcover)
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During the past 40 years, mathematical music theory has grown and
developed in both the fields of music and mathematics. In music
pedagogy, the need to analyze patterns of modern composition has
produced Musical Set Theory, and the use of Group Theory and other
modern mathematical structures have become almost as common as the
application of mathematics in the fields of engineering or
chemistry. Mathematicians have been developing stimulating ideas
when exploring mathematical applications to established musical
relations. Mathematics students have seen in Music in Mathematics
courses, how their accumulated knowledge of abstract ideas can be
applied to an important human activity while reinforcing their
dexterity in Mathematics. Similarly, new general education courses
in Music and Mathematics are being developed and are arising at the
university level, as well as for high school and general audiences
without requiring a sophisticated background in either music nor
mathematics. Mathematical Music Theorists have also been developing
exciting, creative courses for high school teachers and students of
mathematics. These courses and projects have been implemented in
the USA, in China, Ireland, France, Australia, and Spain.The
objective of this volume is to share the motivation and content of
some of these exciting, new Mathematical Theory and Music in
Mathematics courses while contributing concrete materials to
interested readers.
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