Cool Math for Hot Music A First Introduction to Mathematics for Music Theorists /

• Κύριοι συγγραφείς: Mazzola, Guerino (Συγγραφέας), Mannone, Maria (Συγγραφέας), Pang, Yan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Computational Music Science,
• Θέματα: Computer science.; Music.; Computer science > Mathematics.; Artificial intelligence.; Application software.; Mathematics.; Computer Science.; Computer Appl. in Arts and Humanities.; Mathematics in Music.; Mathematics of Computing.; Artificial Intelligence (incl. Robotics).
• Φυσική περιγραφή: XV, 323 p. 179 illus., 112 illus. in color. online resource.
• ISBN: 9783319429373
• ISSN: 1868-0305

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.