Mathematica Illustrations for Abstract Algebra

A collection of Mathematica notebooks to accompany Paul Bland's Abstract Algebra, published by WH Freeman

Introduction

The Abstract Algebra text by Paul Bland has a collection of Mathematica notebooks to supplement the text. These notebooks require (in addition to the Mathematica program itself) a suite of packages called AbstractAlgebra that empower Mathematica to compute with groups, rings, and fields. (These packages were written by Allen Hibbard and Ken Levasseur and are also foundational for their book Exploring Abstract Algebra with Mathematica. More information can be found at their EAAM site.)

To incorporate the Mathematica notebooks with the Bland text, you need to download the appropriate notebooks and place them into the proper Mathematica directory. This, of course, assumes that you have Mathematica available to you.

Instructions

Below are a variety of links to files in several formats/platforms that contain the notebooks. Choose the one that works for your platform and your decompression capabilities. In each case, you will be downloading a single file. Usually your browser is equipped to automatically decompress this file. After decompression, read the README file (which will lead you to a README file in each of the two subdirectories).

After doing so, follow the step-by-step instructions for downloading, installing, and testing the respective packages. The instructions are all contained within the downloaded notebooks. After doing so, you can begin by reading an introduction to the Hibbard/Bland packages in the Mathematica Help Browser (use the Add Ons button and look for Bland and the Bland Overview). The remaining instructions are given there.

Best wishes and enjoy your explorations into abstract algebra.

Biographies

You will note that your text contains short biographies on many mathematicians who had some impact on abstract algebra. Further on-line information can be found for many of these mathematicians.

Other Information

Other topics that may be of interest:


These materials, and this web site, were created by Allen Hibbard, Professor of Mathematics at Central College. Questions about downloading these materials and implementing them can be addressed to him at hibbarda@central.edu.