
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
Music: A Mathematical Offeringby Dave Benson - Cambridge University Press
An introduction to the subject of music and mathematics, which includes physics, psycho-acoustics, biology, and the history of science and digital technology. It covers the structure of the human ear, Fourier analysis, musical instruments, and more.
(21919 views)
Business Mathematics: A Textbookby Edward I. Edgerton, Wallace E. Bartholomew - The Ronald Press Co.
The course in this book is much more advanced than the usual course in commercial arithmetic. The attempt has been made to construct a practical course which will contain all the essential mathematical knowledge required in a business career.
(23015 views)
Math Aliveby Ingrid Daubechies, Shannon Hughes - Princeton University
Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
(14402 views)
Mathematical Linguisticsby Andras Kornai
The book introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed.
(21404 views)