Book:Ian Stewart/Galois Theory/Third Edition

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Ian Stewart: Galois Theory (3rd Edition)

Published $2004$, Chapman & Hall / CRC

ISBN 1-58488-393-6.


Subject Matter


Contents

Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Illustration Acknowledgments
Historical Introduction
1 Classical Algebra
2 The Fundamental Theorem of Algebra
3 Factorization of Polynomials
4 Field Extensions
5 Simple Extensions
6 The Degree of an Extension
7 Ruler-and-Compass Constructions
8 The Idea Behind Galois Theory
9 Normality and Separability
10 Counting Principles
11 Field Automorphisms
12 The Galois Correspondence
13 A Worked Example
14 Solubility and Simplicity
15 Solution by Radicals
16 Abstract Rings and Fields
17 Abstract Field Extensions
18 The General Polynomial
19 Regular Polygons
20 Finite Fields
21 Circle Division
22 Calculating Galois Groups
23 Algebraically Closed Fields
24 Transcendental Numbers
References
Index