

Algebra: A Computational Introduction
John Scherk, 2000, CRC Press, 319 pp.,
hardcover.
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  RulerandCompass Constructions  Appendix: Mathematica
Commands
This book is available in the Wolfram Research bookstore.
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