An Introduction to Group Theory Applications to Mathematical Music Theory
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740303247
Table of contents: title: Sisältö; title: List of Figures; title: Preface; title: Introduction; title: Chapter 1; title: Binary Operations; title: Algebraic Structures; title: Elementary Properties; title: Cyclic Groups; title: Chapter 2; title: Exact Sequences; title: Quotient Groups; title: Isomorphism Theorems; title: Products; title: Chapter 3; title: Finitely Generated Abelian Groups; title: Permutations, Orbits and Sylow Theorems; title: Free Groups; title: Tensor Product; title: Chapter 4; title: Musical Background; title: The T and I Transformations; title: The P, L and R Transformations; title: The Isomorphism between PLR and TI; title: The Duality of the TI and PLR Groups; title: Solutions to the Problems of Chapter 4; title: List of Symbols; title: Index; title: Bibliography and References; title: The Authors; title: Endnotes