Overview: Based on authors‘ experience teaching mathematics to music theorists.Presents ideas in a critical manner, highlighting problems with earlier teaching approaches.Includes many illustrations and exercis.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
|