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Abstract Algebra, 3rd Edition, by David S. Dummit, Richard M. Foote
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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.
- Sales Rank: #15286 in Books
- Published on: 2003-07-14
- Original language: English
- Number of items: 1
- Dimensions: 9.20" h x 1.30" w x 7.30" l, 3.54 pounds
- Binding: Hardcover
- 944 pages
Most helpful customer reviews
4 of 5 people found the following review helpful.
A classic
By mojambo
I used this book in an advanced undergraduate/master's level algebra course. I mostly used this book for exercises but on the occasion that I read the chapters they were friendly enough and readily digestible. The real pro about this book is the high number of non-trivial exercises. There are more than enough to get a good feeling out of any topic in the book and problems range from relatively straightforward to moderately sophisticated. There are also a good deal of computational problems of varying difficulty and many worked out examples in the book. As for the book's organization: the sections on group theory don't follow the best pattern, to me, but there is nothing seriously wrong with it. Sometimes D+F's proofs can be excessively wordy or miss proper quantifiers, but for the most part everything is easy enough to follow. D+F's exposition is decent, but I've read better. I seldom used this book to teach myself a subject without first learning about it in lecture, so I can't comment too much here.
The price is fairly high, but the book is huge. There is plenty of material here and it's arguably one of the few math books worth the list price. Nevertheless, you'd be better off finding a used copy as there are most likely many people who could not handle the subject and returned the book. If you're serious about learning algebra this is a must-have book. It will prepare you well for more advanced studies. There also seems to be a problem with the binding as my book and many of my classmates had problems with the cover ripping or spine splitting.
0 of 0 people found the following review helpful.
Best Darn Book on Abstract Algebra I've seen!
By Roy Fultun
Provides the basis for the integration of all the crazy subdivisions of abstract algebra under the unifying context of Category Theory. The algebraically initiated reader wanting to learn CT from scratch can start with Appendix II, hammer the axioms, definitions and concepts while referring back to the body of the text for examples and exercises. What may have been a confusing hodgepodge of variations on a few basic themes can begin to correlate like the pieces of a puzzle coming together to form an integrated single construct: a beautiful painting.
0 of 0 people found the following review helpful.
Great Book. I'm about half way through and the ...
By mtnbilly
Great Book. I'm about half way through and the amount of material presented is quite extensive. I consider my self well educated (BA, MA, MS and PhD) but I am astounded at what I have learned.
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