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Cool Math for Hot Music
A First Introduction to Mathematics for Music Theorists. Computational Music Science
Synopsis
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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What Reviewers Are Saying
"The authors try to develop a discourse full of pleasure and fun that in every moment motivates concepts, methods, and results by their musical significance-a narrative that inspires the reader to create musical thoughts and actions. ... The book contains many interesting musical and mathematical examples and exercises, and the last part of the book is devoted to the solutions of exercises. The book has also an interesting list of references for further studies in this field." (Peyman Nasehpour, Mathematical Reviews, September, 2017)
"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)