Exploring Abstract Algebra with Mathematica
Publisher: Springer-Verlag TELOS
Published: 1999
ISBN-13: 9781461215301
Table of contents: title: Using Symmetry to Uncover a Group; title: Determining the Symmetry Group of a Given Figure; title: Is This a Group?; title: Let’s Get These Orders Straight; title: Subversively Grouping Our Elements; title: Cycling Through the Groups; title: Permutations; title: Isomorphisms; title: Automorphisms; title: Direct Products; title: Cosets; title: Normality and Factor Groups; title: Group Homomorphisms; title: Rotational Groups of Regular Polyhedra; title: Introduction to Rings and Ringoids; title: Introduction to Rings, Part 2; title: An Ideal Part of Rings; title: What Does ℤ[i] / <a + b i> Look Like?; title: Ring Homomorphisms; title: Polynomial Rings; title: Factoring and Irreducibility; title: Roots of Unity; title: Cyclotomic Polynomials; title: Quotient Rings of Polynomials; title: Quadratic Field Extensions; title: Factoring in ℤ[√d]; title: Finite Fields; title: Introduction to Abstract Algebra; title: Groupoids; title: Ringoids; title: Morphoids; title: Additional Functionality