Xii CONTENTS Section Four The Grand Synthesis 16 17 18 19 20 21 22 Constmctible Polygons and the Method of Mr. Gauss Cyclotomic Fields and Linear Algebra A Lagrange Theorem for Fields and Nonconstructibility Galois Fields and the Fundamental Theorem of Algebra Revisited Galois' Theory of Equations The Galois Correspondence Constmctible Numbers and Solvable Equations 169 170 177 191 196 207 212 217 Index 223
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