Authors:
- 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 exercises with solutions
- Includes supplementary material: sn.pub/extras
Part of the book series: Computational Music Science (CMS)
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Table of contents (34 chapters)
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Front Matter
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Introduction and Short History
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Front Matter
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Sets and Functions
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Front Matter
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Graphs and Nerves
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Front Matter
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About this book
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.
Reviews
“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)
Authors and Affiliations
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School of Music , University of Minnesota, Minneapolis, USA
Guerino Mazzola, Yan Pang
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School of Music, University of Minnesota, Minneapolis, USA
Maria Mannone
About the authors
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.Bibliographic Information
Book Title: Cool Math for Hot Music
Book Subtitle: A First Introduction to Mathematics for Music Theorists
Authors: Guerino Mazzola, Maria Mannone, Yan Pang
Series Title: Computational Music Science
DOI: https://doi.org/10.1007/978-3-319-42937-3
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-42935-9Published: 08 November 2016
Softcover ISBN: 978-3-319-82698-1Published: 22 April 2018
eBook ISBN: 978-3-319-42937-3Published: 26 October 2016
Series ISSN: 1868-0305
Series E-ISSN: 1868-0313
Edition Number: 1
Number of Pages: XV, 323
Number of Illustrations: 67 b/w illustrations, 112 illustrations in colour
Topics: Computer Appl. in Arts and Humanities, Music, Mathematics in Music, Mathematics of Computing, Artificial Intelligence