Overview

provides both students and instructors working in the area of abstract algebra with a heretofore not available set of powerful computational tools and visual aids to readily deal with these very complex mathematical concepts.

Full Product Details

Author:   Allen C. Hibbard ,  Kenneth M. Levasseur
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Dimensions:   Width: 17.00cm , Height: 2.40cm , Length: 24.40cm
Weight:   0.939kg
ISBN:  

9780387986197

ISBN 10:   0387986197
Pages:   467
Publication Date:   19 February 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

I Group Labs.- 1 Using Symmetry to Uncover a Group.- 2 Determining the Symmetry Group of a Given Figure.- 3 Is This a Group?.- 4 Let’s Get These Orders Straight.- 5 Subversively Grouping Our Elements.- 6 Cycling Through the Groups.- 7 Permutations.- 8 Isomorphisms.- 9 Automorphisms.- 10 Direct Products.- 11 Cosets.- 12 Normality and Factor Groups.- 13 Group Homomorphisms.- 14 Rotational Groups of Regular Polyhedra.- II Ring Labs.- 1 Introduction to Rings and Ringoids.- 2 Introduction to Rings, Part 2.- 3 An Ideal Part of Rings.- 4 What Does ?[i](a + b i) Look Like?.- 5 Ring Homomorphisms.- 6 Polynomial Rings.- 7 Factoring and Irreducibility.- 8 Roots of Unity.- 9 Cyclotomic Polynomials.- 10 Quotient Rings of Polynomials.- 11 Quadratic Field Extensions.- 12 Factoring in ?[?d].- 13 Finite Fields.- III User’s Guide.- 1 Introduction to Abstract Algebra.- 2 Groupolds.- 3 Ringoids.- 4 Morphoids.- 5 Additional Functionality.

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