Mathematics and Group Theory in Music
by Athanase Papadopoulos
Publisher: arXiv 2014
Number of pages: 33
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.
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by Sanjoy Mahajan - The MIT Press
The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.
by David Wright - Washington University in St. Louis
This book is an investigation of the interrelationships between mathematics and music, reviewing the needed concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music.
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.
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The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway. The class has, during its existence, drawn participants from both applied mathematics and physics.