Front Cover; Contents; List of Figures; List of Tables; Preface; Acknowledgments; About the Author; Symbol Description; Introduction; Chapter 0: Preliminaries; Chapter 1: Understanding the Group Concept; Chapter 2: The Structure within a Group; Chapter 3: Patterns within the Cosets of Groups; Chapter 4: Mappings between Groups; Chapter 5: Permutation Groups; Chapter 6: Building Larger Groups from Smaller Groups; Chapter 7: The Search for Normal Subgroups; Chapter 8: Solvable and Insoluble Groups; Chapter 9: Introduction to Rings; Chapter 10: The Structure within Rings
Chapter 11: Integral Domains and FieldsChapter 12: Unique Factorization; Chapter 13: Finite Division Rings; Chapter 14: The Theory of Fields; Chapter 15: Galois Theory; Appendix: Sage vs. Mathematica®; Answers to Odd-Numbered Problems; Bibliography; Back Cover
Summary
The new edition of Abstract Algebra: An Interactive Approach presents a hands-on and traditional approach to learning groups, rings, and fields. It then goes further to offer optional technology use to create opportunities for interactive learning and computer use
