Maria Mannone

Cool Math for Hot Music

A First Introduction to Mathematics for Music Theorists

Buch

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.

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Produktdetails

Weitere Autoren: Mazzola, Guerino / Pang, Yan

ISBN: 978-3-319-82698-1
EAN: 9783319826981
Produktnummer: 28480207
Verlag: Springer International Publishing
Sprache: Englisch
Erscheinungsjahr: 2018
Seitenangabe: 344 S.
Masse: H23.8 cm x B15.9 cm x D2.2 cm 529 g
Auflage: Softcover reprint of the original 1st ed. 2016
Abbildungen: Paperback
Gewicht: 529

Über den Autor

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.