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 | Ruler-and-Compass Constructions | Appendix: Mathematica Commands

This book is available in the Wolfram Research bookstore.

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