Abstract Algebra for Beginners: A Rigorous Introduction to Groups, Rings, Fields, Vector Spaces, Modules, Substructures, Homomorphisms, Quotients, Permutations, Group Actions, Polynomials, and Galois Theory

Abstract Algebra for Beginners consists of a series of basic to intermediate lessons in abstract algebra. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Abstract Algebra for Beginners is perfect for

• 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.

The material in this pure math book includes:

• 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.

Abstract Algebra Book Table Of Contents (Selected)
Here's a selection from the table of contents:

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