Galois Theory / Edition 3

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $42.12
Usually ships in 1-2 business days
(Save 38%)
Other sellers (Paperback)
  • All (10) from $42.12   
  • New (5) from $60.51   
  • Used (5) from $42.12   

Overview

Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet 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.

Read More Show Less

Editorial Reviews

Booknews
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 booknews.com
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
  • Sales rank: 1,041,307
  • Product dimensions: 9.20 (w) x 6.00 (h) x 0.80 (d)

Table of Contents

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

Read More Show Less

Customer Reviews

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

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com 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 & Noble.com 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 & Noble.com 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 BN.com 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

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com 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 BN.com. 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)