TY - GEN N2 - 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. AB - 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. T1 - Cool math for hot musica first introduction to mathematics for music theorists / DA - c2016. CY - Cham : AU - Mazzola, G. AU - Mannone, Maria. AU - Pang, Yan. CN - ML3800 CN - NX280 PB - Springer, PP - Cham : PY - c2016. ID - 763711 KW - Music KW - Music. KW - Computer science KW - Artificial intelligence. KW - Application software. KW - Mathematics. SN - 9783319429373 SN - 331942937X TI - Cool math for hot musica first introduction to mathematics for music theorists / LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42937-3 UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42937-3 ER -