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.
