Cool Math for Hot Music

A First Introduction to Mathematics for Music Theorists

著者：Guerino Mazzola, Maria Mannone, Yan Pang
出版社：Springer International Publishing Switzerland
出版时间：2016年
ISBN号：978-3-319-42935-9
页数：323页
包装：hbk
索书号：J614/M0174
所在库室：武侯校区图书馆9楼教参阅览室1册
内容简介：
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.
著者简介：
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.
目录：
Part I Introduction and Short History
Part II Sets and Functions
Part III Numbers
Part IV Graphs and Nerves
Part V Monoids and Groups
Part VI Rings and Modules
Part VII Continuity and Calculus