First Course in Abstract Algebra, A (3rd Edition) | 
enlarge | Author: Joseph J. Rotman Publisher: Prentice Hall Category: Book
List Price: $73.33 Buy New: $38.99 You Save: $34.34 (47%)
New (22) Used (16) from $29.99
Rating: 5 reviews Sales Rank: 606440
Media: Hardcover Edition: 3 Pages: 640 Number Of Items: 1 Shipping Weight (lbs): 2.3 Dimensions (in): 9.2 x 7.2 x 1.1
ISBN: 0131862677 Dewey Decimal Number: 512.02 EAN: 9780131862678
Publication Date: October 8, 2005 Availability: Usually ships in 1-2 business days
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Product Description This spectacularly clear introduction to abstract algebra is is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for readers encountering the subject for the first time. Number Theory. Groups. Commutative Rings. Modules. Algebras. Principal Idea Domains. Group Theory II. Polynomials In Several Variables. For anyone interested in learning abstract algebra.
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| Customer Reviews:
Excellent Introduction To Algebra March 20, 2006 Adam O. Roslund (State College, PA USA) 5 out of 6 found this review helpful
Rotman's book is a standard for first courses in Abstract Algebra. The book is easy to read and includes plenty of problems to work on. He even includes several standard syllabi in the preface, depending on the type of course that may be taught with it. It begins with some number theory, then goes into the traditional group and ring concepts. The only reason I would say to not buy this book is if you really don't like the theorem-proof, theorem-proof kind of writing, but if you don't, you're likely not interested in Abstract Algebra anyway. An excellent book for learning as well as reference.
Excellent and aproacheable! November 9, 1999 2 out of 12 found this review helpful
This is an excellent bookto use fo an introduction to modren algebra. It is clear and very accessible, with many useful examples. I highly recommend it.
no better than the first edition October 8, 2002 Song, Hong-Yeop (Seoul, South Korea) 4 out of 5 found this review helpful
It is always easy to add something to than to get rid of something from the book. I guess this is the case of the author when he prepares the second edition. However, I prefer the first edition because it is more readable, enjoyable, and most importantly, contains just enough information for the introduction to abstract algebra. There are huge number of textbooks on abstract algbra, and making another would not be the author's purpose of the revision, I hope, but it looks it is. By adding more subjects in detail to the second edition, now it looks the same as any other, only to loose its expository and conversational style of writings, and became a reference-style textbook.
Boo March 27, 2001 Bryan Cooley (University of Virginia) 11 out of 11 found this review helpful
Before taking an abstract algebra course this semester I studied the material on my own using the introductory texts by Gallian and Hungerford. These books were very useful because they actually completed proofs instead of leaving them as exercises for the reader. Someone new to abstract algebra is also typically new to higher mathematics. This means a book should have clear and full explanations, not skip major points like Rotman does. Rotman commits another sin by failing to provide homework problems which correspond with the material he presents. One nice thing is that the book does provide a wide array of material (much more than most other introductory texts). This virtue soon turns astray however because by providing so much preliminary material on congruences, functions, divisibility, .... you'll be lucky if your teacher gets to groups by halfway through the semester.
I'd skip this one... May 7, 2000 4 out of 5 found this review helpful
I was very disapointed with Rotman's attempt fix his first edition of this book. The wording is still overly dense, the topics skip around too much, and the examples are less than illuminating. At least he fixed the 10 by 10 orthogonal latin square on the cover to be correct this time. I think Hernstien's classic "Topics in Algebra" is a much better introduction
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