This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. These include mathematicians, music... Læs mere
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics.
This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and... Læs mere
The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation.
This is the first volume of the second edition of the now classic book “The Topos of Music”. The author... Læs mere
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.
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.
This book offers a new approach to musical creativity, dealing with software and the semiotics and mathematical principles of creativity. The text is supported with musical score examples, and the authors' sound and video examples are freely available online.
This book is a first sketch of what the overall field of performance could look like as a modern scientific field but not its stylistically differentiated practice, pedagogy, and history.