Summary: Galois Theory is a showpiece of mathematical unification and "technology transfer." Abstract algebraic techniques, such as group theory and field theory, answer important questions in geometry and the theory of equations. Applications include:
the possibility of constructing regular polygons with 17, 257, or 65537 sides
This revised edition of a popular text includes an introductory overview, a chapter on the calculation of Galois groups, further clarification of proofs, extra motivating examples, and modified exercises.
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