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Abstract Algebra Hardcover – January 5, 2006

ISBN-13: 978-1577664437 ISBN-10: 1577664434 Edition: 3rd

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Editorial Reviews

From the Publisher

Titles of related interest from Waveland Press: Hillman-Alexanderson, Abstract Algebra: A First Undergraduate Course, Fifth Edition (ISBN 9781577660828) and Saracino, Abstract Algebra: A First Course, Second Edition (ISBN 9781577665366).

From the Back Cover

"The book has a great selection of exercises. There are enough good ones to make it possible to use the book several semesters in a row without repeating too much. They come in a nice mix from easy computations to warm the students up to more difficult theoretical problems. A few have solutions, but most don't. I like this balance very much." -- Will Murray, California State University, Long Beach

"I like the gradual introduction to abstraction by starting with examples rather than abstract groups or rings. Many nice examples, as well as good theorems often omitted from undergraduate courses." -- William M. McGovern, University of Washington

"A well-written text with plenty of opportunity for students to get involved in the learning process." -- Francis T. Hannick, Minnesota State University, Mankato

"This book moves from concreteness to abstraction more skillfully than any text I have ever seen. A completely convincing and student-oriented presentation of the `why' of abstract algebra as well as the `how.'" -- Vic Camillo, University of Iowa

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Product Details

  • Hardcover: 484 pages
  • Publisher: Waveland Pr Inc; 3 edition (January 5, 2006)
  • Language: English
  • ISBN-10: 1577664434
  • ISBN-13: 978-1577664437
  • Product Dimensions: 1.2 x 7 x 9.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Best Sellers Rank: #410,635 in Books (See Top 100 in Books)

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Customer Reviews

Examples are very well chosen and provide a lot of detail.
John W.
The authors also have a wonderful web site with scores of resources on the subject.
G. D. Roche
I highly recommend this text to anyone interested in higher mathematics.
From Detroit

Most Helpful Customer Reviews

35 of 35 people found the following review helpful By Bruce Atwood on December 23, 2000
Format: Hardcover
This excellent book was my textbook for 2 semesters of senior level abstract algebra. The unique feature of this book is that elementary number theory, equivalence relations, and permutations are carefully introduced at the beginning. Other books launch right into groups and then have to make long digressions to cover these topics. Comparing this book to the best-selling Contemporary Abstract Algebra by Joseph Gallian, I like that Gallian's book adds many applications which students will find interesting. However, Beachy and Blair's book puts a greater emphasis on developing student's ability to do proofs. The book also incorporates more number theory than many other texts. Answers to selected problems are included, so I recommend this book for self study as well as a textbook for any undergraduate abstract algebra course.
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13 of 13 people found the following review helpful By G. D. Roche on January 28, 2004
Format: Hardcover
Not only is the best book I have seen on Abstract Algebra, this is the best mathematics book I own. I have used it as a suppliment while studying, in research, and in teaching. It is clear and readable. The authors also have a wonderful web site with scores of resources on the subject.
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9 of 10 people found the following review helpful By From Detroit on February 10, 2006
Format: Hardcover
This is the best introductory text I've read. I like it much better than Durbin. The author takes a lot of time explaining proofs in the beginning. Over time, they leave more to the reader. The exercises are bountiful, and I often find a few interesting ones in each section. I highly recommend this text to anyone interested in higher mathematics. It's very thorough, yet very readable.
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5 of 5 people found the following review helpful By John W. on April 3, 2012
Format: Hardcover Verified Purchase
I have read several introductory algebra books but it was not until I read this book that I really began to understand algebra at the level that I needed to. As the authors state, this book is meant for people who are 1. just beginning to learn to write proofs and 2. taking an algebra class for the first time. The organization of the book very clearly attempts (and in my opinion succeeds) to help a person who is new to proofs and taking algebra for the first time.

To someone who has already taken algebra and is quite comfortable, you may be annoyed by some of the development. For example, in the chapter on polynomials, there is a proof that a particular set satisfies some random properties, only later do you find out that it was a proof that the ring of polynomials [over a field!] is a pid. Some people may object to this style of presentation, but it reflects the authors awareness of the mathematical maturity of their audience.

That is a lot of blabber so here are the reasons this book gets 5 stars:
1. The authors are EXTREMELY aware of their audience and know how to write to them.
2. There is a lot of exposition which motivates the subject and puts it into a historical context.
3. Examples are very well chosen and provide a lot of detail.
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4 of 4 people found the following review helpful By Christian on March 12, 2010
Format: Hardcover
I am midway through my second semester of undergraduate algebra using this textbook, but I have been reading ahead and just finished the final chapter. While it gets a little rocky at some points in the later chapters, overall it is very clear and well written. I don't have a lot to write about this book, but part of the reason for that is that when reading textbooks, the bad stands out a lot more than the good does, and so a good textbook leaves you with little to review. The book takes a very number-theoretic approach to algebra, which I personally find somewhat dry, but that's simply a matter of opinion.

I don't think there are any prerequisites to this book beyond familiarity with basic operations on matrices.
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2 of 2 people found the following review helpful By Cameron on January 29, 2013
Format: Hardcover Verified Purchase
I am using this book for a first course in Modern Algebra, so I have not read it all the way through, but according to my professor there are various errors in the book. Particularly, I think he said after Chapter 3 there were quite a few mistakes, typos, etc. The price for this book was relatively low, which was definitely a good thing.

As far as recommendations go, I cannot say whether or not I would recommend this to someone until I read more. That being said, however, I would not recommend it as "leisure reading" unless you are a Math professor, or something, because if there are mistakes, they might not be apparent to someone first learning about the topic.
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Format: Hardcover Verified Purchase
Use it to my abstract algebra course, not easy. Need to spend a lot of time on it. Good book though
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Format: Hardcover
This book is one of the clearest, easiest to understand math books I own. I love that there is an online study guide for this book online (easily found through a google search). This book, paired with that guide, truly helped me through this material and the course.
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