Galois Theory

Ian Stewart

Publisher:

Chapman Hall/CRC

Publication Date:

2003

Number of Pages:

328

Format:

Paperback

Edition:

3

Series:

Chapman Hall/CRC Mathematics Series 24

Price:

49.95

ISBN:

1584883936

Category:

Textbook

BLL Rating:

BLL**

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

MAA Review
Table of Contents

[Reviewed by

BLL Committee

, on

12/12/2008

]

Historical Introduction
Classical Algebra
The Fundamental Theorem of Algebra
Factorization of Polynomials
Field Extensions
Simple Extensions
The Degree of an Extension
Ruler-and-Compass Constructions
The Idea Behind Galois Theory
Normality and Separability
Counting Principles
Field Automorphisms
The Galois Correspondence
A Worked Example
Solubility and Simplicity
Solution by Radicals
Abstract Rings and Fields
Abstract Field Extensions
The General Polynomial
Regular Polygons
Finite Fields
Circle Division
Calculating Galois Groups
Algebraically Closed Fields
Transcendental Numbers
References
Index