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Symmetries of Equations: An Introduction to Galois Theory
www-users.york.ac.ukThus Galois theory was originally motivated by the desire to understand, in a much more precise way than they hitherto had been, the solutions to polynomial equations. Galois’ idea was this: study the solutions by studying their “symmetries” .
AN INTRODUCTION TO GALOIS THEORY - University of …
faculty.missouri.eduAN INTRODUCTION TO GALOIS THEORY STEVEN DALE CUTKOSKY In these notes we consider the problem of constructing the roots of a polynomial. Sup-pose that F is a subfield of the complex numbers, and f(x) is a polynomial over F.