Abstract Algebra for Beginners: A Rigorous Introduction to Groups Rings Fields Vector Spaces Modules Substructures Homomorphisms Quotients ... 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 forprofessors 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) Heres a selection from the table of contents: Introduction Lesson 1 - Sets and SubsetsLesson 2 - Algebraic StructuresLesson 3 - Relations and PartitionsLesson 4 - Functions and EquinumerosityLesson 5 - Number Systems and InductionLesson 6 - SubstructuresLesson 7 - Homomorphisms and IsomorphismsLesson 8 - Number TheoryLesson 9 - Number Theoretic ApplicationsLesson 10 - QuotientsLesson 11 - Structure TheoremsLesson 12 - Permutations and DeterminantsLesson 13 - Sylow Theory and Group ActionsLesson 14 - PolynomialsLesson 15 - Field TheoryLesson 16 - Galois Theory