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An Introduction to Essential Algebraic Structures.
A reader-friendly introduction to modern algebra with important examples from various areas of mathematicsFeaturing a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a ce...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken :
Wiley,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- An Introduction to Essential Algebraic Structures; Copyright; Contents; Preface; Chapter 1 Sets; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings and Permutations; Exercise Set 1.3; 1.4 Operations on Matrices; Exercise Set 1.4; 1.5 Binary Algebraic Operations and Equivalence Relations; Exercise Set 1.5; Chapter 2 Numbers; 2.1 Some Properties of Integers: Mathematical Induction; Exercise Set 2.1; 2.2 Divisibility; Exercise Set 2.2; 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic; Exercise Set 2.3.
- 2.4 Rational Numbers, Irrational Numbers, and Real NumbersExercise Set 2.4; Chapter 3 Groups; 3.1 Groups and Subgroups; Exercise Set 3.1; 3.2 Cosets and Normal Subgroups; Exercise Set 3.2; 3.3 Factor Groups and Homomorphisms; Exercise Set 3.3; Chapter 4 Rings; 4.1 Rings, Subrings, Associative Rings; Exercise Set 4.1; 4.2 Rings of Polynomials; Exercise Set 4.2; 4.3 Ideals and Quotient Rings; Exercise Set 4.3; 4.4 Homomorphisms of Rings; Exercise Set 4.4; Chapter 5 Fields; 5.1 Fields: Basic Properties and Examples; Exercise Set 5.1; 5.2 Some Field Extensions; Exercise Set 5.2.