Cool Math for Hot Music

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A First Introduction to Mathematics for Music Theorists, Computational Music Science

ISBN: 3319429353
ISBN 13: 9783319429359
Autor: Mazzola, Guerino/Mannone, Maria/Pang, Yan
Verlag: Springer Verlag GmbH
Umfang: xv, 323 S., 67 s/w Illustr., 112 farbige Illustr., 323 p. 179 illus., 112 illus. in color.
Erscheinungsdatum: 08.11.2016
Auflage: 1/2017
Produktform: Gebunden/Hardback
Einband: GEB

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.

Artikelnummer: 9532865 Kategorie:

Beschreibung

This textbook approaches topics mainly of musical theory and composition under a new light. The focus is on classical topics such as harmony and counterpoint, but the authors also include references to gestures and global theory. They present ideas in a critical manner, highlighting problems in earlier theories, and showing the advantage of using scientific tools. The book includes many illustrations, and exercises with solutions, and the authors introduce computational tools and software for analysis and composition, such as Rubato.

Autorenporträt

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.

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