Computational Music Science

Cool Math for Hot Music

A First Introduction to Mathematics for Music Theorists

Authors: Mazzola, Guerino, Mannone, Maria, Pang Clark, Yan

  • 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
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Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-42937-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-42935-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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 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.

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)


Table of contents (34 chapters)

  • The ‘Counterpoint’ of Mathematics and Music

    Mazzola, Guerino (et al.)

    Pages 1-3

    Preview Buy Chapter 30,19 €
  • Short History of the Relation Between Mathematics and Music

    Mazzola, Guerino (et al.)

    Pages 5-34

    Preview Buy Chapter 30,19 €
  • The Architecture of Sets

    Mazzola, Guerino (et al.)

    Pages 37-48

    Preview Buy Chapter 30,19 €
  • Functions and Relations

    Mazzola, Guerino (et al.)

    Pages 49-59

    Preview Buy Chapter 30,19 €
  • Universal Properties

    Mazzola, Guerino (et al.)

    Pages 61-68

    Preview Buy Chapter 30,19 €

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-42937-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-42935-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Cool Math for Hot Music
Book Subtitle
A First Introduction to Mathematics for Music Theorists
Authors
Series Title
Computational Music Science
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42937-3
DOI
10.1007/978-3-319-42937-3
Hardcover ISBN
978-3-319-42935-9
Series ISSN
1868-0305
Edition Number
1
Number of Pages
XV, 323
Number of Illustrations and Tables
67 b/w illustrations, 112 illustrations in colour
Topics