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Algebra: A Computational Introduction
John Scherk, 2000, CRC Press, 319 pages, hardbound.
Algebra: A Computational Introduction is an algebra text for readers with a solid background in linear
algebra. Each chapter builds on previous ones, from permutation groups, then linear groups, and finally abstract groups.
Mathematica is integrated throughout the book, with numerous exercises and downloads available to provide references for complex problems encountered in the field.
Chapters include: Congruence; Permutations; Permutation Groups; Linear Groups; Groups; Subgroups; Symmetry Groups; Group Actions; Counting Formulas; Cosets; Sylow Subgroups; Simple Groups; Abelian Groups; Polynomial Rings; Symmetric Polynomials; Roots of Equations; Galois Groups; Quartics; The General Equation of the nth Degree; Solution by Radicals;| Ruler-and-Compass Constructions; plus an appendix of Mathematica commands.
This book is available from The Mathematica Bookstore.