Book:Thomas W. Hungerford/Algebra

Subject Matter

 * Set Theory
 * Abstract Algebra

Contents

 * Preface
 * Acknowledgements
 * Suggestions on the Use of This Book


 * Prerequisites and Preliminaries


 * Chapter $I$: Groups


 * 1. Semigroups, Monoids and Groups
 * 2. Homomorphisms and Subgroups
 * 3. Cyclic Groups
 * 4. Cosets and Counting
 * 5. Normality, Quotient Groups, and Homomorphisms
 * 6. Symmetric, Alternating, and Dihedral Groups
 * 7. Categories: Products, Coproducts, and Free Objects
 * 8. Direct Products and Direct Sums
 * 9. Free Groups, Free Products, Generators & Relations


 * Chapter $II$: The Structure of Groups


 * Chapter $III$: Rings


 * Chapter $VI$: Modules


 * Chapter $V$: Fields and Galois Theory


 * Chapter $VI$: The Structure of Fields


 * Chapter $VII$: Linear Algebra


 * Chapter $VIII$: Commutative Rings and Modules


 * Chapter $IX$: The Structure of Rings


 * Chapter $X$: Categories


 * List of Symbols


 * Bibliography


 * Index