Abstract Algebra for Beginners: A Rigorous Introduction to Groups, Rings, Fields, Vector Spaces, Modules, Substructures, Homomorphisms, Quotients, ... Group Actions, Polynomials, and Galois Theory
Product Description
Abstract Algebra for Beginners: A Rigorous Introduction to Groups, Rings, Fields, Vector Spaces, Modules, Substructures, Homomorphisms, Quotients, ... Group Actions, Polynomials, and Galois Theory
- professors teaching an undergraduate course or basic graduate course in abstract algebra.
- high school teachers working with advanced math students.
- students wishing to see the type of mathematics they would be exposed to as a math major.
- 16 lessons consisting of basic to intermediate topics in abstract algebra.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Sets and Subsets
Lesson 2 - Algebraic Structures
Lesson 3 - Relations and Partitions
Lesson 4 - Functions and Equinumerosity
Lesson 5 - Number Systems and Induction
Lesson 6 - Substructures
Lesson 7 - Homomorphisms and Isomorphisms
Lesson 8 - Number Theory
Lesson 9 - Number Theoretic Applications
Lesson 10 - Quotients
Lesson 11 - Structure Theorems
Lesson 12 - Permutations and Determinants
Lesson 13 - Sylow Theory and Group Actions
Lesson 14 - Polynomials
Lesson 15 - Field Theory
Lesson 16 - Galois Theory
Technical Specifications
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