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
June 26, 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. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears.
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Publish Date
2013
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Bookboon.com
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An Introduction to Group Theory Applications to Mathematical Music Theory
2013, Bookboon.com
8740303241 9788740303247
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Book Details
Table of Contents
Content
List of Figures
Preface
Introduction
1. Chapter 1
1.1. Binary Operations
1.2. Algebraic Structures
1.3. Elementary Properties
1.4. Cyclic Groups
2. Chapter 2
2.1. Exact Sequences
2.2. Quotient Groups
2.3. Isomorphism Theorems
2.4. Products
3. Chapter 3
3.1. Finitely Generated Abelian Groups
3.2. Permutations, Orbits and Sylow Theorems
3.3. Free Groups
3.4. Tensor Product
4. Chapter 4
4.1. Musical Background
4.2. The T and I Transformations
4.3. The P, L and R Transformations
4.4. The Isomorphism between PLR and TI
4.5. The Duality of the TI and PLR Groups
4.6. Solutions to the Problems of Chapter 4
5. List of Symbols
6. Index
7. Bibliography and References
8. The Authors
9. Endnotes
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