Exploring Abstract Algebra With Mathematica®

Table of Contents

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   Book Overview
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   Chapter 1 Using Symmetry to Uncover a Group
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   Chapter 2 Determining the Symmetry Group of a Given Figure
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   Chapter 3 Is This a Group?
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   Chapter 4 Let’s Get These Orders Straight
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   Chapter 5 Subversively Grouping Our Elements
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   Chapter 6 Cycling Through the Groups
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   Chapter 7 Permutations
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   Chapter 8 Isomorphisms
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    Chapter 9 Automorphisms
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    Chapter 10 Direct Products
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    Chapter 11 Cosets
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    Chapter 12 Normality and Factor Groups
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    Chapter 13 Group Homomorphisms
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    Chapter 14 Rotational Groups of Regular Polyhedra
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    Chapter 15 Introduction to Rings and Ringoids
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    Chapter 16 Introduction to Rings, Part 2
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    Chapter 17 An Ideal Part of Rings
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    Chapter 18 What Does ℤ[ i ] / < a + b i > Look Like?
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    Chapter 19 Ring Homomorphisms
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    Chapter 20 Polynomial Rings
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    Chapter 21 Factoring and Irreducibility
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    Chapter 22 Roots of Unity
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    Chapter 23 Cyclotomic Polynomials
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    Chapter 24 Quotient Rings of Polynomials
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    Chapter 25 Quadratic Field Extensions
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    Chapter 26 Factoring in ℤ[√<Emphasis Type="Italic">d</Emphasis>]
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    Chapter 27 Finite Fields
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    Chapter 28 Introduction to Abstract Algebra
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    Chapter 29 Groupoids
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    Chapter 30 Ringoids
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    Chapter 31 Morphoids
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    Chapter 32 Additional Functionality