Fields and Galois Theory

By John M. Howie

This book provides a gentle introduction to this popular subject. Assuming a background of a first course in abstract algebra, the book covers rings, ideals, quotients and homomorphisms, introduces polynomials, field extensions and splitting fields, gives a description of finite fields, and includes a brief account of the use of such fields in coding theory. It provides a readable, "student-friendly" introduction that takes a more "natural" approach to its subject (compared to the more formal introductions by Stewart and Garling), and that features clear explanations and plenty of worked examples and exercises - with full solutions - to encourage independent study.

• Format: Paperback
• Language: English
• ISBN: 1852339861
• ISBN13: 9781852339869
• Release Date: December 2005
• Publisher: Springer
• Length: 226 Pages
• Weight: 0.15 lbs.
• Dimensions: 0.5" x 7.1" x 9.3"