**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

**Conformal Fractals: Ergodic Theory Methods**

by

**F. Przytycki, M. Urbanski**-

**Cambridge University Press**

An introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments.

(

**10827**views)

**Fractional Calculus: Theory and Applications**

by

**Francesco Mainardi (ed.)**-

**MDPI AG**

Fractional calculus is allowing integrals and derivatives of any positive order. It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type ...

(

**3536**views)

**Mathematical Methods**

by

**Mihir Sen, Joseph M. Powers**-

**University of Notre Dame**

Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. Directed at first year graduate students in engineering and undergraduates who wish to become better prepared for graduate studies.

(

**20467**views)

**A Short Course on Approximation Theory**

by

**N. L. Carothers**-

**Bowling Green State University**

The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.

(

**8911**views)