## Book description

Since 1973, **Galois Theory** has been educating undergraduate students on Galois groups and classical Galois theory. In **Galois Theory, Fifth Edition**, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students.

## Table of contents

- Cover Page
- Half-Title Page
- Title Page
- Copyright Page
- Contents
- Acknowledgements
- Preface to the Fifth Edition
- Historical Introduction
- 1 Classical Algebra
- 2 The Fundamental Theorem of Algebra
- 3 Factorisation 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 Worked Examples
- 14 Solubility and Simplicity
- 15 Solution by Radicals
- 16 Abstract Rings and Fields
- 17 Abstract Field Extensions and Galois Groups
- 18 The General Polynomial Equation
- 19 Finite Fields
- 20 Regular Polygons
- 21 Circle Division
- 22 Calculating Galois Groups
- 23 Algebraically Closed Fields
- 24 Transcendental Numbers
- 25 What Did Galois Do or Know?
- 26 Further Directions
- References
- Index

## Product information

- Title: Galois Theory, 5th Edition
- Author(s):
- Release date: September 2022
- Publisher(s): Chapman and Hall/CRC
- ISBN: 9781000644081

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