Part of the Graduate Texts in Mathematics book series (GTM, volume 148)
We begin this chapter with a brief history of the study of roots of polynomials. Mathematicians of the Middle Ages, and probably those in Babylonia, knew the quadratic formula giving the roots of a quadratic polynomial f(X) = X 2 + bX + c. Setting Open image in new window transforms f(X) into a polynomial g(x) with no x term:
KeywordsNormal Subgroup Finite Group Normal Series Maximal Subgroup Galois Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag New York, Inc. 1995