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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: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

[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

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