Ring Theory as Applied to the Three Classical Geometric Construction Problems

References
Before I can continue further I must pause and give credit where it is due.  While some of the interpretations may be new, I learned most of the material discussed on this site while taking an Abstract Algebra course from Dr. Ken Johnson of the North Dakota State University Mathematics Department.  Easily the best math instructor I have ever taken a course from, Dr. Johnson made this naturally challenging material both interesting and understandable.

Also, in researching the history of this subject I have made extensive use of the website created by John J O'Connor and Edmund F. Robertson at the School of Mathematics and Statistics, University of St Andrews, Scotland titled The MacTutor History of Mathematics archive.  An excellent web-reference on the history of several mathematical subjects I recommend it to anyone with an interest in the history of mathematics.

I should also mention that the bulk of this material can be found in any introductory text on Abstract Algebra.  Two good examples are:

  • Topics in Algebra, 2nd Edition by I.N. Herstein, 1975, John Wiley & Sons, New York.
  • Modern Algebra: An Introduction, by John R. Durbin, 1979, John Wiley & Sons, New York.
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