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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