Selected Product:
| Abstract Algebra
Hardcover
Edition: 3
Author: David S. Dummit, Richard M. Foote
Publisher: Wiley
Release Date: 2003-07-14
ISBN-10: 0471433349
ISBN-13: 9780471433347
List Price: $118.64
Average Customer Rating:
  | |
Counterexamples in Analysis (Dover Books on Mathematics)
ISBN-10: 0486428753
ISBN-13: 9780486428758
List Price:$14.95
Principles of Mathematical Analysis, Third Edition
ISBN-10: 007054235X
ISBN-13: 9780070542358
List Price:$143.00
Real Analysis (3rd Edition)
ISBN-10: 0024041513
ISBN-13: 9780024041517
List Price:$143.40
Topology (2nd Edition)
ISBN-10: 0131816292
ISBN-13: 9780131816299
List Price:$132.80
Algebra (Graduate Texts in Mathematics)
ISBN-10: 0387905189
ISBN-13: 9780387905181
List Price:$59.95
|
To use our price comparison to get the cheapest price, please click on the "Find the Cheapest Price" button located above for Abstract Algebra by David S. Dummit, Richard M. Foote (ISBN-10: 0471433349, ISBN-13: 9780471433347).
At this time we have not yet written a review for Abstract Algebra by David S. Dummit, Richard M. Foote (ISBN-10: 0471433349, ISBN-13: 9780471433347). Please continue to keep checking back to this page as we are constantly adding reviews.
Summaries and Customer Reviews are supplied by Amazon.com
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.
* The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
Good referernce for Abstract Algebra courses
| Customer Rating: | | I don't know what I'm gonna do without this book for my H590! And it's cheaper here than used ones in a physical bookstore. |
Were love meets lust.
| Customer Rating: | 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). Also, D+F introduce modules before vector spaces which I have mixed feelings about --- as a student who's already taken an algebra class, I love the "flow" of the lessons; as a student who remembers what it was like to try to imagine what modules "looked like", it makes me cringe to think that they didn't introduce vector spaces first.
Overall, wonderful book. One of my favorites of all time. DEFINITELY have it, and if you study from it, you may feel more comfortable supplimenting it with Herstein's Algebra, Artin's Algebra (which are just as hard) or Fraleigh's Abstract Algebra, Gallian's Abstract Algebra, or Rotman's Abstract Algebra (which are much, much easier). |
Excellent Problems, Mediocre Exposition, Overpriced
| Customer Rating: | 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
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. |
Love the presentation of the material
| Customer Rating: | This text will freak you out at first if you have never done proofs, or linear algebra at a rigorous level. My professor said that linear algebra and mathematical maturity are definitively things to possess before attempting to deal with this text, and not having those two things was a disadvantage.
However, if you're on your own (as I have been in my study of math), I can recommend some great preparatory books.
I am working on some analysis and algebra and the following have helped me:
Modern Algebra and Trigonometry - Moore (may be out of print - great book though)
Elementary Real and Complex Analysis - Shilov (calculus, basic measure)
Linear Algebra - Shilov
those three texts should get you to a point of mathematical independence where you may conquer dummit. |
Great graduate algebra text
| Customer Rating: | | Compare this book to certain other ones (like Lang's Algebra, Hungerford's Algebra, etc.) and you'll agree, this one is way better. Most other books are too terse to study from, especially if you're studying on you own. But this one seems to cover the material pretty well, without falling into that trap. |
|
