An Algebraic Postscript

  • Arthur Jones
  • Kenneth R. Pearson
  • Sidney A. Morris
Part of the Universitext book series (UTX)


We have completed the proof that the three famous constructions are impossible. In this chapter we introduce some purely algebraic results which extend results in the earlier chapters. These new results will enable you to construct fields that you have not seen before.


Ordinary Multiplication Boxed State Algebraic Result Early Chapter Division Theorem 
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Additional Reading for Chapter 8

  1. [AC]
    A. Clark, Elements of Abstract Algebra, Wadsworth, Belmont, California, 1971.Google Scholar
  2. [JF]
    J.B. Fraleigh, A First Course in Abstract Algebra, 3rd edition, Addison-Wesley, Reading, Massachusetts, 1982.Google Scholar
  3. [WG]
    W.J. Gilbert, Modern Algebra with Applications, Wiley, New York, 1976.zbMATHGoogle Scholar
  4. [CH]
    C.R. Hadlock, Field Theory and its Classical Problems, Carus Mathematical Monographs, No. 19, Mathematical Association of America, 1978.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Arthur Jones
    • 1
  • Kenneth R. Pearson
    • 1
  • Sidney A. Morris
    • 2
  1. 1.Department of MathematicsLa Trobe UniversityBundooraAustralia
  2. 2.Faculty of InformaticsUniversity of WollongongWollongongAustralia

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