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Abstract Algebra
 
 

Abstract Algebra [Hardcover]

David S. Dummit , Richard M. Foote
4.3 out of 5 stars  See all reviews (21 customer reviews)
List Price: CDN$ 111.95
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Product Description

Book Description

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.

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Some results and notation that are used throughout the text are collected in this chapter for convenience. Read the first page
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Front Cover | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

21 Reviews
5 star:
 (13)
4 star:
 (5)
3 star:
 (1)
2 star:    (0)
1 star:
 (2)
 
 
 
 
 
Average Customer Review
4.3 out of 5 stars (21 customer reviews)
 
 
 
 
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3 of 3 people found the following review helpful
5.0 out of 5 stars Comprehensive book, July 9 2004
By A Customer
This review is from: Abstract Algebra (Hardcover)
I'm a graduate student in math. We used this book for the basic year-long abstract algebra sequence: group theory, chapters 1-4 and some of chapter 5; ring/field/galois theory chapters 7-9, 13-14. Some of my fellow students took a module theory course which was at least partially based off chapters 10 and (I think) 11. I'm sure more advanced courses could easily be based off chapters 15-end. Considering the cost of university books, I consider it very nice to buy one book for essentially 3+ courses.

The exercises in some sections are very diverse. My group theory professor made us do a huge number of them, and now I am amazed at how often I see questions similar to those from Dummit-Foote show up on past qualifier exams from many different universities. Regarding lack of answers in the back...well, you shouldn't need too many, and if you get really stuck, that's what the professor is for. And if you're learning it on your own then I'm thinking you should be brainy enough not to need answers!

The text itself is very readable and complete.

I don't think I'd recommend this as an undergrad textbook, although I've no doubt that there are some clever undergrads who could learn from it. I used Herstein's "Topics in Algebra" for my intro-to-abstract course as an undergrad. Herstein is designed to be introductory in nature, though still a wonderful book, while DF is more encyclopedic.

I do have one complaint though: the binding in DF started to crack and pages started to fall out near the end of its first semester of use. It did see some moderate backpack use but not too much, certainly less than many other books I've had in the past. So take care of it!

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5.0 out of 5 stars Best Algebra Book Ever, Jan 17 2006
This review is from: Abstract Algebra (Hardcover)
This is the best abstract algebra I have ever read.
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5.0 out of 5 stars Good intro to the subject, Feb 14 2004
By 
While I haven't read this book beyond the group theory chapters, it has proven invaluable for me already. The writing is clear and flows very well, particularly due to good ordering of topics. The introduction of each concept is followed by a wealth of examples, never leaving the reader completely lost on the purpose of whatever concept is being studied.

However, do not expect to grasp concepts immeadiately unless you have a practical application to relate to (and that's general advice for anyone studying abstract algebra). Reading this hand in hand with a number theory book has helped me immensely, not to mention that number theory is a worthy topic of study on its own.

Overall, the book was certainly worth its price, and I haven't even read a significant chunk of it yet!

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