An edition of An Introduction to Group Theory Applications to Mathematical Music Theory
(2013)
An Introduction to Group Theory Applications to Mathematical Music Theory
by Flor Aceff-Sánchez , Octavio A. Agustín...
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Last edited by Alice Kirk
November 3, 2015 | History
The success of Group Theory is impressive and extraordinary. Its influence is strongly felt in almost all scientific and artistic disciplines, in Music in particular, as is shown in this text.
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Publish Date
2013
Publisher
Bookboon
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| Edition | Availability |
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An Introduction to Group Theory Applications to Mathematical Music Theory
2013, Bookboon
8740303241 9788740303247
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Book Details
Table of Contents
Sisältö
List of Figures
Preface
Introduction
Chapter 1
Binary Operations
Algebraic Structures
Elementary Properties
Cyclic Groups
Chapter 2
Exact Sequences
Quotient Groups
Isomorphism Theorems
Products
Chapter 3
Finitely Generated Abelian Groups
Permutations, Orbits and Sylow Theorems
Free Groups
Tensor Product
Chapter 4
Musical Background
The T and I Transformations
The P, L and R Transformations
The Isomorphism between PLR and TI
The Duality of the TI and PLR Groups
Solutions to the Problems of Chapter 4
List of Symbols
Index
Bibliography and References
The Authors
Endnotes
Edition Identifiers
Work Identifiers
Links outside Open Library
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