just today cleaning out my desk i found this again http://www.math.jhu.edu/~smahanta/Teaching/Spring10/Stillwell.pdf http://www.math.jhu.edu/~smahanta/Teaching

just today cleaning out my desk i found this again http://www.math.jhu.edu/~smahanta/Teaching/Spring10/Stillwell.pdf http://www.math.jhu.edu/~smahanta/Teaching/Spring10/Stillwel... >The aim of this paper is to prove the unsolvability by radicals of the quintic (in fact of the general nth degree equation for n >= 5) using just the fundamentals of groups, rings and fields from a standard first course in algebra. essentially all of the fundamentals of galois theory in 5 short (very readable!) pages.