Galois Theory / Edition 3

Paperback (Print)
Buy Used
Buy Used from
(Save 37%)
Item is in good condition but packaging may have signs of shelf wear/aging or torn packaging.
Condition: Used – Good details
Used and New from Other Sellers
Used and New from Other Sellers
from $25.41
Usually ships in 1-2 business days
(Save 62%)
Other sellers (Paperback)
  • All (12) from $25.41   
  • New (7) from $25.41   
  • Used (5) from $33.98   


Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. But mathematics education has changed considerably since 1973, when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches. To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals. Reorganization of the material places the concrete before the abstract, thus motivating the general theory, but the substance of the book remains the same.

The third edition preserves and extends the most popular feature of the previous editions -- a wealth of historical storytelling, with the tale of Evariste Galois and his fatal duel as its centerpiece. To provide further motivation, Stewart has also added some of the more technical history. Several newer proofs replace some that were rather obscure or indirect, and some classical topics have been revived. Galois theory is a showpiece of mathematical unification and of "technology transfer" to a range of modern applications. While sacrificing nothing to mathematical rigor, there is simply no more engaging, no more accessible, no more outstanding introduction to the intriguing concepts of abstract algebra than Galois Theory.

Read More Show Less

Editorial Reviews

Beautifully produced text for advanced undergraduates, in which a master expositor takes obvious delight in introducing young mathematicians to the classical aspects of one of the glories of their field. Expanded revision of the edition of 1973. Keeps in nice focus the motivating historical roots of the theory, and treats explicitly its relation to some classic ruler-and-compass construction problems. Nineteen brief chapters, many exercises, with selected solutions and references. A slim treasure. Paper edition unseen, $22.50. NW Annotation c. Book News, Inc., Portland, OR
Read More Show Less

Product Details

  • ISBN-13: 9781584883937
  • Publisher: Taylor & Francis
  • Publication date: 8/28/2003
  • Series: Chapman Hall/CRC Mathematics Series , #24
  • Edition description: REV
  • Edition number: 3
  • Pages: 328
  • Product dimensions: 9.20 (w) x 6.00 (h) x 0.80 (d)

Table of Contents

Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Illustration Acknowledgments
Historical Introduction
1 Classical Algebra 1
2 The Fundamental Theorem of Algebra 17
3 Factorization of Polynomials 31
4 Field Extensions 49
5 Simple Extensions 57
6 The Degree of an Extension 67
7 Ruler-and-Compass Constructions 75
8 The Idea Behind Galois Theory 85
9 Normality and Separability 107
10 Counting Principles 117
11 Field Automorphisms 125
12 The Galois Correspondence 133
13 A Worked Example 137
14 Solubility and Simplicity 143
15 Solution by Radicals 153
16 Abstract Rings and Fields 163
17 Abstract Field Extensions 177
18 The General Polynomial 191
19 Regular Polygons 209
20 Finite Fields 227
21 Circle Division 233
22 Calculating Galois Groups 251
23 Algebraically Closed Fields 261
24 Transcendental Numbers 269
References 279
Index 283
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)