What follows is a Table of Contents for the book Exploring Abstract Algebra with Mathematica mentioned in the Introduction.

• Preface
• Part I -- Group Labs
  • Lab 1. Using Symmetry to Uncover a Group
  • Lab 2. Determining the Symmetry Group of a Given Figure
  • Lab 3. Is This a Group?
  • Lab 4. Let's Get These Orders Straight
  • Lab 5. Subversively Grouping Our Elements
  • Lab 6. Cycling Through the Groups
  • Lab 7. Permutations
  • Lab 8. Isomorphisms
  • Lab 9. Automorphisms
  • Lab 10. Direct Products
  • Lab 11. Cosets
  • Lab 12. Normality and Factor Groups
  • Lab 13. Group Homomorphisms
  • Lab 14: Rotational Groups of Regular Polyhedra
• Part II -- Ring Labs
  • Lab 1. Introduction to Rings and Ringoids
  • Lab 2. Introduction to Rings, Part 2
  • Lab 3. An Ideal Part of Rings
  • Lab 4. What Does Look Like?
  • Lab 5. Ring Homomorphisms
  • Lab 6. Polynomial Rings
  • Lab 7. Factoring and Irreducibility
  • Lab 8. Roots of Unity
  • Lab 9. Cyclotomic Polynomials
  • Lab 10. Quotient Rings of Polynomials
  • Lab 11. Quadratic Field Extensions
  • Lab 12. Factoring in
  • Lab 13. Finite Fields
• Part III -- User's Guide
  • Introduction to AbstractAlgebra
  • Groupoids
  • Morphoids
  • Ringoids
  • Additional Functionality
• Appendices
  • Appendix A -- Installation Instructions and References
  • Appendix B -- Lab 0 Getting Started with Mathematica
• Index

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