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Galois Theory, 4th Edition
book

Galois Theory, 4th Edition

by Ian Nicholas Stewart
March 2015
Intermediate to advanced content levelIntermediate to advanced
344 pages
10h 18m
English
Chapman and Hall/CRC
Content preview from Galois Theory, 4th Edition
Chapter 7
Ruler-and-Compass Constructions
Already we are in a position to see some payoff. The degree of a field extension
is a surprisingly powerful tool. Even before we get into Galois theory proper, we
can apply the degree to a warm-up problem—indeed, several. The problems come
from classical Greek geometry, and we will do something much more interesting and
difficult than solving them. We will prove that no solutions exist, subject to certain
technical conditions on the permitted methods.
According to Plato the only ‘perfect’ geometric figures are the straight line and
the circle. In the most widely known parts of ancient Greek geometry, this belief ...
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Publisher Resources

ISBN: 9781482245837