Basic Abstract Algebra / Edition 2

Paperback (Print)
Rent
Rent from BN.com
$19.67
(Save 75%)
Est. Return Date: 11/29/2014
Used and New from Other Sellers
Used and New from Other Sellers
from $38.47
Usually ships in 1-2 business days
(Save 51%)
Other sellers (Paperback)
  • All (15) from $38.47   
  • New (8) from $51.98   
  • Used (7) from $38.47   

Overview

In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new 1993 approach to the celebrated Lasker-Noether theorem.
Read More Show Less

Editorial Reviews

From the Publisher
"...a thorough and surprisingly clean-cut survey of the group/ring/field troika which manages to convey the idea of algebra as a unified enterprise." Ian Stewart, New Scientist
Read More Show Less

Product Details

  • ISBN-13: 9780521466295
  • Publisher: Cambridge University Press
  • Publication date: 11/25/1994
  • Edition description: Revised
  • Edition number: 2
  • Pages: 508
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.14 (d)

Table of Contents

Preface to the second edition
Preface to the first edition
Glossary of symbols
Ch. 1 Sets and mappings 3
Ch. 2 Integers, real numbers, and complex numbers 30
Ch. 3 Matrices and determinants 39
Ch. 4 Groups 61
Ch. 5 Normal subgroups 91
Ch. 6 Normal series 120
Ch. 7 Permutation groups 129
Ch. 8 Structure theorems of groups 138
Ch. 9 Rings 159
Ch. 10 Ideals and homomorphisms 179
Ch. 11 Unique factorization domains and euclidean domains 212
Ch. 12 Rings of fractions 224
Ch. 13 Integers 233
Ch. 14 Modules and vector spaces 246
Ch. 15 Algebraic extensions of fields 281
Ch. 16 Normal and separable extensions 300
Ch. 17 Galois theory 322
Ch. 18 Applications of Galois theory to classical problems 340
Ch. 19 Noetherian and artinian modules and rings 367
Ch. 20 Smith normal form over a PID and rank 392
Ch. 21 Finitely generated modules over a PID 402
Ch. 22 Tensor products 426
Solutions to odd-numbered problems 438
Selected bibliography 476
Index 477
Read More Show Less

Customer Reviews

Average Rating 5
( 1 )
Rating Distribution

5 Star

(1)

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
Sort by: Showing 1 – 2 of 1 Customer Reviews
  • Anonymous

    Posted March 20, 2002

    my favorite

    This is a very elementary book on abstract algebra, clearly written, easy to study from, and thus, suitable for self-study. The authors provide lots of examples, and many solutions to the exercises. All the topics are quite standard for an undergraduate course in abstract algebra. The price of the paperback edition is more than appropriate. A true jewel of algebra. Highly recommended.

    Was this review helpful? Yes  No   Report this review
  • Anonymous

    Posted March 29, 2012

    No text was provided for this review.

Sort by: Showing 1 – 2 of 1 Customer Reviews

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