An Algebraic Postscript
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.
KeywordsOrdinary Multiplication Boxed State Algebraic Result Early Chapter Division Theorem
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Additional Reading for Chapter 8
- [AC]A. Clark, Elements of Abstract Algebra, Wadsworth, Belmont, California, 1971.Google Scholar
- [JF]J.B. Fraleigh, A First Course in Abstract Algebra, 3rd edition, Addison-Wesley, Reading, Massachusetts, 1982.Google Scholar
- [CH]C.R. Hadlock, Field Theory and its Classical Problems, Carus Mathematical Monographs, No. 19, Mathematical Association of America, 1978.Google Scholar