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Contemporary Abstract Algebra Hardcover – January 8, 2009

ISBN-13: 978-0547165097 ISBN-10: 0547165099 Edition: 7th

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Product Details

  • Hardcover: 640 pages
  • Publisher: Cengage Learning; 7 edition (January 8, 2009)
  • Language: English
  • ISBN-10: 0547165099
  • ISBN-13: 978-0547165097
  • Product Dimensions: 9.2 x 6.5 x 1.1 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 3.8 out of 5 stars  See all reviews (12 customer reviews)
  • Amazon Best Sellers Rank: #341,698 in Books (See Top 100 in Books)

Editorial Reviews

About the Author

Joseph Gallian earned his PhD from Notre Dame. In addition to receiving numerous awards for his teaching and exposition, he served, first, as the Second Vice President, and, then, as the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.

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Customer Reviews

I love this book b/c this is my first Abstract Algebra course "Self Teaching".
Math Education College Student
There are many places where the proof will say "clearly" or another similar phrase when it is most definitely not clear to any one but the author.
Allison S.
There are exercises that are easy enough to where you get a good understanding of the material and others hard enough to present a nice challenge.
kippy

Most Helpful Customer Reviews

6 of 6 people found the following review helpful By Steven Skees on March 24, 2012
Format: Hardcover Verified Purchase
Gallian's Contemporary Abstract Algebra is a decent text for the topic, and is one of the few texts out there which manages to be a the standard for many universities, but also manages to remain accessible, readable, and enjoyable for students at all levels.

The book contains 33 chapters, of which the first (roughly) 22 make up the core of a two semester undergraduate algebra course covering groups, rings, and fields. Most of the chapters are rather short (10-20 pages it seems on average), but this thorough breakdown of chapters makes each and every one rather simple to read and understand, without introducing too much at one time (refer to Herstein's Topics in Algebra if you want to see a book which doesn't have enough chapters, teaching what is essentially an entire semester worth of group theory in one overbloated chapter, which is easy to get lost in). Gallian is great at providing examples, and gives definitions and theorems with very clear and concise language. For the most part, he tends to try to use standard terminology and provides plenty of examples and diagrams to aid students with the learning.

The final nine chapters of the book, making up roughly 1/3 of the textbook, contains many special topics. Some of these are very standard chapters for abstract algebra texts which are sometimes skipped (even if they really shouldn't be) such as the Sylow Theorems and Finite Simple Groups, but you'll also find chapters on coding theory, Galois theory, Frieze groups, and more.
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Format: Hardcover
This is a good book. It starts with a clear example of a group and develops a wonderul theory of groups and rings. There are exercises that are easy enough to where you get a good understanding of the material and others hard enough to present a nice challenge. The book presents the material well. It also gives us a nice history of major figures in abstract algebra.
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By A on December 15, 2013
Format: Hardcover
Good book. Easy to understand, gentle enough as a first text but advanced enough to make you work. This text was required for an introductory abstract algebra course I took.

Another user complained about the difficulty of the book and the fact that some of the proofs are not self contained. In particular he mentioned caleys theorem as an example. I had no problem competing the extra steps required not listed in the theorem when I read it. Also, he mentioned that the exercises were difficult. That's because abstract algebra is an inherently difficult subject at this level you are not doing students any favors by babying them.

And most surprisingly, he claims that professors ask too much from students generally. This couldn't be farther from the truth. If anything most schools practically hand out undergraduate math degrees.
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By Kirkum on January 23, 2013
Format: Hardcover Verified Purchase
I love this book. It is really well organized, easy to follow along, but still taught in pretty good depth. I recommend it!
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By M. Casanova on September 20, 2012
Format: Hardcover
I'm a grad student in pure maths and I have more or less read this book cover to cover while doing many of the exercises. This book is very easy to read and covers a one year undergraduate course in algebra. If you want to learn the basics about groups, rings and fields, this book will teach you all you need to know as an undergraduate. What this book is not: maths for grad students.
It comes with lots of exercises (do them!) and solutions to odd numbered ones.
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12 of 19 people found the following review helpful By Daniel Miller on August 3, 2010
Format: Hardcover Verified Purchase
Abstract algebra is an inherently abstract, formal, non-intuitive subject, and while it can be made less difficult, it cannot be made easy. Gallian's book is a valiant attempt at the latter. The book shies away from precise definitions, formal proofs, and that elusive thing known as "mathematical maturity." However, abstract algebra simply cannot be satisfactorily taught without at least a minimum of these things, and is best taught in as formal of an environment as possible. As such, I cannot recommend Gallian's book to those who wish to learn abstract algebra on a late undergraduate/beginning graduate level. However, for the advanced high school student who wishes to study abstract algebra early, Gallian's book is excellent in that it does not presume that the student has had much prior exposure to advanced mathematics.
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