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Cool Math for Hot Music

A First Introduction to Mathematics for Music Theorists


This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.

Portrait

Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002, its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts, University of Minnesota.

Maria Caterina Mannone is completing her Ph.D. in the School of Music of the University of Minnesota.


Yan Pang Clark is completing her Ph.D. in the School of Music of the University of Minnesota.

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Produktdetails


Einband gebundene Ausgabe
Seitenzahl 323
Erscheinungsdatum 08.11.2016
Sprache Englisch
ISBN 978-3-319-42935-9
Reihe Culture, Mind and Society
Verlag Springer
Maße (L/B/H) 24,1/16,1/2,5 cm
Gewicht 678 g
Abbildungen 62 schwarz-weiße und 108 farbige Abbildungen, Bibliographie
Auflage 1st ed. 2016
Buch (gebundene Ausgabe, Englisch)
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