Cool Math for Hot Music / Computational Music Science (PDF)
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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.
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.
- Autoren: Guerino Mazzola , Maria Mannone , Yan Pang
- 2016, 1st ed. 2016, 323 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 331942937X
- ISBN-13: 9783319429373
- Erscheinungsdatum: 26.10.2016
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 10 MB
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“This textbook in mathematics for music theorists introduces topics such as sets and functions, algebraic structures including groups, rings, matrices and modules, and more. The book includes many illustrations, online sample music files, and exercises with solutions. … Concepts are motivated and supported by examples from composition music theory.” (Tom Schulte, MAA Reviews, maa.org, February, 2017)
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