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 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 ...
(7442 views)
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 ...
(7442 views)
The Mathematics of Investment
by William L.Hart - D.C Heath and Company
This book provides an elementary course in the theory and the application of annuities certain and in the mathematical aspects of life insurance. The book is particularly adapted to the needs of students in colleges of business administration.
(38558 views)
by William L.Hart - D.C Heath and Company
This book provides an elementary course in the theory and the application of annuities certain and in the mathematical aspects of life insurance. The book is particularly adapted to the needs of students in colleges of business administration.
(38558 views)
Voting, Arbitration & Fair Division: Mathematics of Social Choice
by Marcus Pivato - Trent University
An introduction to social choice theory, which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra.
(17301 views)
by Marcus Pivato - Trent University
An introduction to social choice theory, which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra.
(17301 views)
Mathematics and Biology: The Interface, Challenges, and Opportunities
by Simon A. Levin
This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.
(18759 views)
by Simon A. Levin
This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.
(18759 views)