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.
- ISBN13 9783319429359
- Publish Date 8 November 2016
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition 1st ed. 2016
- Format Hardcover
- Pages 323
- Language English