- 353 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Galois Theory
About this book
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.
New to the Fifth Edition
- Reorganised and revised Chapters 7 and 13
- New exercises and examples
- Expanded, updated references
- Further historical material on figures besides Galois: Omar Khayyam, Vandermonde, Ruffini, and Abel
- A new final chapter discussing other directions in which Galois theory has developed: the inverse Galois problem, differential Galois theory, and a (very) brief introduction to p-adic Galois representations
This bestseller continues to deliver a rigorous, yet engaging, treatment of the subject while keeping pace with current educational requirements. More than 200 exercises and a wealth of historical notes augment the proofs, formulas, and theorems.
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Yes, you can access Galois Theory by Ian Stewart in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
Information
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