Galois Theory

ISBN-10: 1584883936
ISBN-13: 9781584883937
Edition: 3rd 2003 (Revised)
Authors: Ian Stewart
List price: $67.95
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Description: Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973This edition brings the presentation in line with more modern  More...

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Book details

List price: $67.95
Edition: 3rd
Copyright year: 2003
Publisher: CRC Press LLC
Publication date: 7/28/2003
Binding: Paperback
Pages: 328
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.572
Language: English

Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973This edition brings the presentation in line with more modern approaches. While preserving and extending the most popular features of the previous editions, the author reorganized the material to place the concrete before the abstract. He also added more technical history, incorporated several newer proofs, and revived some classical topics. There is simply no more engaging, no more accessible, no more outstanding introduction to the intriguing concepts of abstract algebra than Galois Theory.

Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Illustration Acknowledgments
Historical Introduction
Classical Algebra
The Fundamental Theorem of Algebra
Factorization of Polynomials
Field Extensions
Simple Extensions
The Degree of an Extension
Ruler-and-Compass Constructions
The Idea Behind Galois Theory
Normality and Separability
Counting Principles
Field Automorphisms
The Galois Correspondence
A Worked Example
Solubility and Simplicity
Solution by Radicals
Abstract Rings and Fields
Abstract Field Extensions
The General Polynomial
Regular Polygons
Finite Fields
Circle Division
Calculating Galois Groups
Algebraically Closed Fields
Transcendental Numbers
References
Index

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