Introducing mathematics for music theorists, this book covers basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus and gestures. Each concept is illustrated by examples from music theory, composition and gestural performance. Exercises are included.
Introducing mathematics for music theorists, this book covers basic topics such as sets and functions, universal properties, numbers and recursion, gr...
This book explains music's comprehensive ontology, its way of existence and processing, as specified in its compact characterization: music embodies meaningful communication and mediates physically between its emotional and mental layers. The book unfolds in a basic discourse in everyday language that is accessible to everybody who wants to understand what this topic is about. Musical ontology is delayed in its fundamental dimensions: its realities, its meaningful communication, and its embodied utterance from musical creators to an interested audience.
The authors' approach is...
This book explains music's comprehensive ontology, its way of existence and processing, as specified in its compact characterization: music embodie...
This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context.The mathematical...
This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surv...
