Abstract Algebra

Rating:
Summary: to slow
Review: In trying to teach students algebra, I tried to use this book to teach them from, but I found that all the concepts were introduced at what is seemingly high school level. I think that a moderate high school student (with some curiosity) could teach himself the basics of algebra with this book. As an undergraduate text, though, it is way too slow and way too elementary.

Rating:
Summary: to slow
Review: In trying to teach students algebra, I tried to use this book to teach them from, but I found that all the concepts were introduced at what is seemingly high school level. I think that a moderate high school student (with some curiosity) could teach himself the basics of algebra with this book. As an undergraduate text, though, it is way too slow and way too elementary.

Rating:
Summary: Buy this book!!
Review: 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.

Rating:
Summary: Carefully develops proof writing skills
Review: 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.