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Abstract Algebra, 3rd Edition 3rd Edition

52 customer reviews
ISBN-13: 978-0471433347
ISBN-10: 0471433349
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Product Details

  • Hardcover: 944 pages
  • Publisher: Wiley; 3 edition (July 14, 2003)
  • Language: English
  • ISBN-10: 0471433349
  • ISBN-13: 978-0471433347
  • Product Dimensions: 7.8 x 1.4 x 9.5 inches
  • Shipping Weight: 3.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (52 customer reviews)
  • Amazon Best Sellers Rank: #96,640 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

85 of 94 people found the following review helpful By Justin Hilburn on May 18, 2008
Format: Hardcover
(When I wrote this review D+F was almost one hundred and fifty dollars. It seems to have dropped in price significantly since then)

D+F tries to straddle the line between being a book for advanced undergraduates and a book for graduate students and does a decent job. It is fairly readable, with many excellent exercises and lots of examples. The book also covers all the material in the standard graduate algebra sequence. The section on group theory is particularly good.

I think the biggest problem with D+F is that it is bland. The exposition isn't a joy to read and full of motivation like that of Halmos, Stillwell, or Eisenbud and it isn't full of deep insights like that of MacLane, Lang, or Artin. In addition Category Theory is pushed off to an appendix at the end of the book rather than integrated through the text. Finally the book is expensive and the binding is terrible.

If you want to learn algebra I would recommend purchasing some of these cheaper more focused texts since almost everything in D+F is treated better elsewhere:

Basic Algebra - Mac Lane + Birkhoff - Algebra 3rd Edition
Galois Theory: Stillwell - Elements of Algebra, Artin - Galois Theory
Commutative Algebra: Eisenbud - Commutative Algebra With a View Towards Algebraic Geometry
Homological Algebra: Weibel - An Introduction to Homological Algebra, Mac Lane - Homology
Representation Theory - Fulton + Harris - Representation Theory

If on the other hand you are already fairly comfortable with algebra and are looking for a one volume reference I would just buy Lang. It is less than half the price, more advanced, and has more material.
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63 of 69 people found the following review helpful By Michael B Williams on December 11, 2004
Format: Hardcover
I think I would only recommend this book to someone who has already had some exposure to algebra (or one especially gifted in mathematics). The beginning of the book is not too bad, but towards the end of Part I the pace quickens quite a bit. If you are willing to read over the text many times, and do all of the non-trivial exercises (there is an impressive olla podrida of algebra in them, most of which are the beginnings of some very deep ideas), then it should be a very rewarding experience. Namely because this is one of the most readable textbooks which covers everything from groups, rings, and fields to homological algebra and algebraic geometry. It is very rare to see this much material covered in one book, and for it to remain so structured (Rotman is an example of a book that covers a lot of material, but loses its structure somewhere).
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26 of 28 people found the following review helpful By Amazon Customer on September 2, 2004
Format: Hardcover
I am surprised that this book has not got the 5 stars. It is very suitable for advanced undergraduates/first-year graduates. The book is full of examples; and the proofs are amazingly clear and succinct. The book introduces new concepts in the excercises long before the student encounters them in the sections.

This is a beautiful way to teach mathemtatics,--and indeed to learn it. The book is replete with examples that connect concepts from toplogy and real analysis with Algebra.

This book definitely deserves the 5 STARS.
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15 of 15 people found the following review helpful By JS on August 18, 2008
Format: Hardcover Verified Purchase
Dummit and Foote contains just about everything an undergraduate ought to know about abstract algebra. In addition, it is written in a more user-friendly, down-to-earth fashion than, say, Lang's Algebra is.

The pro's have been discussed in other reviews and include: clear development of group, ring, and field theory; tons of exercises at the end of every chapter; numerous examples scattered around the text; sylow theorems (for group theory, imo, it's important, and not every algebra book does sylow stuff!); great introduction to exact sequences (useful if the reader is going into algebraic topology anytime soon. ugh!); galois theory is pretty clearly laid out; and, the third section of the book has some neat topics the reader can check out (which are, I think, commutative algebra, homological algebra, and representation theory introductions, as well as a small section on category theory at the very end).

The con's of D+F are the price (it's very expensive!), the binding (it's horrible!), and some of the sections are much harder than others and D+F doesn't do as well a job at explaining them as in many of the other sections (the tensors section sticks out in my head, and they wait something like 100 pages to explain "tricks" for figuring out the structure of finite groups after explaining some of the sylow stuff (eg., they wait to tell the reader about how to "pin small groups against one-another" and to make use of the sylow n! trick).
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12 of 14 people found the following review helpful By Alexander C. Zorach on June 8, 2006
Format: Hardcover
This is a great book! It's introductory, appropriate for undergrads taking abstract algebra for the first time, but it is very comprehensive, useful for more advanced students as well. Although it explains the material in great depth and at a slow pace, it does so in a logically sound manner. The authors provide rich motivation and always introduce material with an eye towards more advanced material to come later. It is rich in cross-references, helping people to develop connections between the different parts of the material, and allowing the reader to jump around once she has mastered the basics. One of the best aspects of this book is that it contains a wealth of concrete examples in every section; this is critical for helping beginners master such an abstract subject.

I find this book to be ideal for self-study and outstanding as a reference: it is very comprehensive and its presentations are clear. The book is still valuable to advanced students, both as review and for the advanced material; the earlier chapter's exercises may seem easy, but they are a fun challenge if you try to do them in your head. Few graduate students will have already covered all the material in this gets into some galois theory, representation theory, modules, homological algebra, even some algebraic geometry. It covers almost all the topics in algebra that a general mathematician would need (as well as many that she might not need); the only glaring omission is that lattices and boolean algebras are not mentioned, but this material is easy to find elsewhere. This book has a clearer presentation of some of the more advanced material than I have been able to find elsewhere--in particular, it has a gentle (and yet rich) introduction to modules.
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