Galois Theory, the theory of polynomial equations and their
solutions, is one of the most fascinating and beautiful subjects of
pure mathematics. Using group theory and field theory, it provides
a complete answer to the problem of the solubility of polynomial
equations by radicals: that is, determining when and how a
polynomial equation can be solved by repeatedly extracting roots
using elementary algebraic operations. This textbook contains a
fully detailed account of Galois Theory and the algebra that it
needs and is suitable both for those following a course of lectures
and the independent reader (who is assumed to have no previous
knowledge of Galois Theory). The second edition has been
significantly revised and re-ordered; the first part develops the
basic algebra that is needed, and the second a comprehensive
account of Galois Theory. There are applications to ruler-and-
compass constructions, and to the solution of classical
mathematical problems of ancient times. There are new exercises
throughout, and carefully-selected examples will help the reader
develop a clear understanding of the mathematical theory.
|Country of origin:
||229 x 151 x 18mm (L x W x T)
||Paperback - Trade
||2nd Revised edition
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