Can I read The Topos of Music : Geometric Logic of Concepts, Theory, and Performance on EtoBox?

The Topos of Music : Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola; in collaboration with Stefan Göller and Stefan Müller is a nonfiction available to read on EtoBox.

What is The Topos of Music : Geometric Logic of Concepts, Theory, and Performance about?

The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory i

Who reads The Topos of Music : Geometric Logic of Concepts, Theory, and Performance?

Author

Guerino Mazzola; in collaboration with Stefan Göller and Stefan Müller

Publisher

Birkhäuser Basel

Published

2003

Language

EN

ISBN

9780817657314

Category

nonfiction

Subjects

Mathematics, Science, Philosophy