Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) - Hardcover

Mazzola, Guerino; Mannone, Maria; Pang, Yan

Hardcover

ISBN 10: 3319429353 ISBN 13: 9783319429359

Publisher: Springer, 2016

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.

About this title

About the Author

Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002, its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts, University of Minnesota.

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2016
• Language: English
• ISBN 10: 3319429353
• ISBN 13: 9783319429359
• Binding: Hardcover
• Edition number: 1
• Number of pages: 338