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lgli/Emilio Lluis-Puebla; Flor Aceff-Sánchez; Janine du Plessis; Mariana Montiel; Octavio A. Agustín-Aquino - An Introduction to Group Theory (2018, ).pdf
An Introduction to Group Theory Applications to Mathematical Music Theory 🔍
Emilio Lluis-Puebla; Flor Aceff-Sánchez; Janine du Plessis; Mariana Montiel; Octavio A. Agustín-Aquino Bookboon.com, 2018
英语 [en] · PDF · 4.9MB · 2018 · 📘 非小说类图书 · 🚀/lgli/zlib · Save
描述
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.
You can download the book via the link below.
备用文件名
zlib/no-category/Emilio Lluis-Puebla; Flor Aceff-Sánchez; Janine du Plessis; Mariana Montiel; Octavio A. Agustín-Aquino/An Introduction to Group Theory_5445678.pdf
备选作者
Flor Aceff-Sánchez, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, Mariana Montiel, Janine du Plessis
备用版本
Denmark, Denmark
备用版本
2013
备用描述
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
备用描述
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
备用描述
Innhold
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
备用描述
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.
You can download the book for free via the link below.
开源日期
2020-04-12
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