An Introduction to Group Theory Applications to Mathematical Music Theory
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740303247
Table of contents: title: Content; title: List of Figures; title: Preface; title: Introduction; title: 1. Chapter 1; title: 1.1. Binary Operations; title: 1.2. Algebraic Structures; title: 1.3. Elementary Properties; title: 1.4. Cyclic Groups; title: 2. Chapter 2; title: 2.1. Exact Sequences; title: 2.2. Quotient Groups; title: 2.3. Isomorphism Theorems; title: 2.4. Products; title: 3. Chapter 3; title: 3.1. Finitely Generated Abelian Groups; title: 3.2. Permutations, Orbits and Sylow Theorems; title: 3.3. Free Groups; title: 3.4. Tensor Product; title: 4. Chapter 4; title: 4.1. Musical Background; title: 4.2. The T and I Transformations; title: 4.3. The P, L and R Transformations; title: 4.4. The Isomorphism between PLR and TI; title: 4.5. The Duality of the TI and PLR Groups; title: 4.6. Solutions to the Problems of Chapter 4; title: 5. List of Symbols; title: 6. Index; title: 7. Bibliography and References; title: 8. The Authors; title: 9. Endnotes