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Exploring Abstract Algebra With Mathematica®

  • Allen C. Hibbard
  • Kenneth M. Levasseur

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Group Labs

    1. Front Matter
      Pages 1-1
    2. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 3-10
    3. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 11-16
    4. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 17-19
    5. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 20-31
    6. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 32-44
    7. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 45-52
    8. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 53-63
    9. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 64-73
    10. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 74-80
    11. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 81-87
    12. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 88-94
    13. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 95-100
    14. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 101-110
    15. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 111-116
  3. Ring Labs

    1. Front Matter
      Pages 117-117
    2. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 119-126
    3. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 127-133
    4. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 134-139
    5. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 140-147
    6. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 148-155
    7. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 156-166
    8. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 167-181
    9. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 182-189
    10. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 190-199
    11. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 200-208
    12. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 209-214
    13. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 215-226
    14. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 227-233
  4. User’s Guide

    1. Front Matter
      Pages 235-235
    2. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 237-251
    3. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 252-320
    4. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 321-392
    5. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 393-413
    6. Allen C. Hibbard, Kenneth M. Levasseur
      Pages 414-443
  5. Back Matter
    Pages 445-469

About this book

Introduction

• What is Exploring Abstract Algebra with Mathematica? Exploring Abstract Algebra with Mathematica is a learning environment for introductory abstract algebra built around a suite of Mathematica packages enti­ tled AbstractAlgebra. These packages are a foundation for this collection of twenty-seven interactive labs on group and ring theory. The lab portion of this book reflects the contents of the Mathematica-based electronic notebooks con­ tained in the accompanying CD-ROM. Students can interact with both the printed and electronic versions of the material in the laboratory and look up details and reference information in the User's Guide. Exercises occur in the stream of the text of labs, providing a context in which to answer. The notebooks are designed so that the answers to the questions can either be entered into the electronic notebook or written on paper, whichever the instructor prefers. The notebooks support versions 2. 2 and 3. 0-4. 0 and are compatible with all platforms that run Mathematica. This work can be used to supplement any introductory abstract algebra text and is not dependent on any particular text. The group and ring labs have been cross­ referenced against some of the more popular texts. This information can be found on our web site at http://www . central. edu/eaarn. htrnl (which is also mirrored at http://www . urnl. edu/Dept/Math/eaarn/eaarn. htrnl). If your favorite text isn't on our list, it can be added upon request by contacting either author.

Keywords

Mathematica Permutation Sage abstract algebra algebra computer data structures

Authors and affiliations

  • Allen C. Hibbard
    • 1
  • Kenneth M. Levasseur
    • 2
  1. 1.Department of Mathematics and Computer ScienceCentral CollegePellaUSA
  2. 2.Department of Mathematics and Computer ScienceUniversity of Massachusetts LowellLowellUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1530-1
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98619-7
  • Online ISBN 978-1-4612-1530-1
  • Buy this book on publisher's site