Book:Ian Stewart/Galois Theory/Third Edition
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Ian Stewart: Galois Theory (3rd Edition)
Published $\text {2004}$, Chapman & Hall / CRC
- ISBN 1-58488-393-6
Subject Matter
Contents
- Preface to the First Edition: University of Warwick, Coventry, April 1972
- Preface to the Second Edition: University of Warwick, Coventry, December 1988
- Preface to the Third Edition: University of Warwick, Coventry, April 2003
- 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
Further Editions
- 1972: Ian Stewart: Galois Theory
- 1989: Ian Stewart: Galois Theory (2nd ed.)
Source work progress
- 2004: Ian Stewart: Galois Theory (3rd ed.) ... (previous) ... (next): Historical Introduction: Polynomial Equations