Abstract algebra and famous impossibilities : squaring the circle, doubling the cube, trisecting an angle, and solving quintic equations / Sidney A. Morris, Arthur Jones, Kenneth R. Pearson.
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical ques...
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