Abstract Algebra Courseware
Dr. Paulsen has constucted a series of Mathematica notebooks that teaches
abstract algebra. The core of these notebooks are the routines discussed
in the publication "Group Presentations Using Mathematica" (Mathematica in
Education and Research 1995 Vol 4, No. 4, pp. 21-24). The notebooks go all the
way to teaching about Galois theory, and use Mathematica to find the Galois
group of any polynomial. The means by which Mathematica can do this is given
in the article "Computing Galois Group with Mathematica" (Mathematica in
Education and Research 1999 Vol 8, No. 1, pp. 5-11).
The textbook, "Interactive Abstract Algebra," contains two parts,
"Interactive Group Theory," and
"Interactive Ring Theory." Both parts are complete, and the author is
currently looking for a publisher.
Table of Contents.
Download selected
notebooks. (Requires password.)