Mathematics and Group Theory in Music
by Athanase Papadopoulos
Publisher: arXiv 2014
Number of pages: 33
Description:
The purpose of this paper is to show through particular examples how group theory is used in music. The examples are chosen from the theoretical work and from the compositions of Olivier Messiaen (1908-1992), one of the most influential twentieth century composers and pedagogues.
Download or read it online for free here:
Download link
(420KB, PDF)
Similar books
Fractional Dynamicsby Carlo Cattani, et al. - De Gruyter Open Ltd
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.
(7151 views)
The Craft of Fractional Modelling in Science and Engineeringby Jordan Hristov (ed.) - MDPI AG
Fractional calculus has performed an important role in the fields of mathematics, physics, electronics, mechanics, and engineering in recent years. The modeling methods involving fractional operators have been continuously generalized and enhanced...
(5782 views)
On 2D Inverse Problems- Wikibooks
This book is about the inverse problems that take its roots in medical imaging and similar imaging methods from geophysics. The study was motivated by the needs of non-destructive and non-intrusive methods for imaging of hidden objects.
(8222 views)
Mathematical Methods of Engineering Analysisby Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
(18305 views)