Galois Theory and Its Algebraic Background (Hardcover) (ISBN-13: 9781108838924)

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.

Author: D. J. H. Garling
ISBN-10: 1108838928
ISBN-13: 9781108838924
Publisher: Cambridge University Press
Language: English
Published: 09/30/2021
Pages: 204
Format: Hardcover
Weight: 1.00lbs
Size: 9.20h x 8.00w x 0.80d