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An Introduction to Algebraic Structures (Dover Books on Mathematics) Paperback – September 20, 2010

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Joseph Landin (Author)
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Joseph Landin (Author)
4.2 out of 5 stars 4 customer reviews
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  • An Introduction to Algebraic Structures (Dover Books on Mathematics)
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 272 pages
  • Publisher: Dover Publications; Revised edition (October 18, 2010)
  • Language: English
  • ISBN-10: 0486659402
  • ISBN-13: 978-0486659404
  • Product Dimensions: 8.5 x 5.4 x 0.5 inches
  • Shipping Weight: 9.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #863,901 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

37 of 37 people found the following review helpful
Excellent, readable introduction to abstract algebra
By David Elder on April 15, 2003
Format: Paperback
Landin's book is a great introduction to abstract algebra. It is written at about a 3rd year undergraduate level, so it should be easily accessible to interested readers. Mathematicians will probably find this book a bit easy, but for those of use who are not mathematicians by training, the ease of this book is welcome. The topics covered are set theory, the number systems, groups, group homomorphisms, rings, and polynomial rings. Landin provides plenty of definitions, theorems and proofs, but he is kind enough to also build intuition about the theory with incisive prose and illustrative examples. It is also great for self study, but does not include solutions to the problems. However Landin gives the reader the equipment necessary to solve the problems with little difficulty. Overall I highly recommend this book to anyone interested in learning the basics of abstract algebra.
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3 of 3 people found the following review helpful
pretty good intro for a non-mathematician
By abe on February 13, 2009
Format: Paperback Verified Purchase
I found this book pretty good. I used to think that algebra was what came before calculus. Then I took a class about mathematical logic and I realized I was missing something. I think this book does a good job of explaining what modern/abstract algebra is about. I thought the sequence of topics helped me "get it", even though it does progress slowly. I'm about 2/3's of the way through and so far I think it has served it's purpose of introducing me to the topic of abstract algebra.
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Good Intro for Undergrads
By D. Afonso on March 22, 2013
Format: Paperback
This is a good intro to "Modern Algebra" for undergrads. I first read it about 18 years ago before taking my first class in Modern Algebra but after taking the standard courses in linear algebra. It's not overly difficult but does introduce you to the basic concepts of Set, Group, Ring, Field, etc... It doesn't cover Galois Theory and doesn't go into any great depth, but, for such an inexpensive book it really is a good intro to the subject. As a word of warning though (based on what a previous reviewer wrote) this is not an introduction to modern algebra for the layman. You really should be comfortable with the abstractness of modern mathematics as well as the standard methodology of:

1. definition
2. theorem (or lemma)
3. proof

This book does a pretty good job of easing you into it, but it is a mathematics textbook written at an undergrad level and that's the audience for which it is an "intro" for.
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10 of 20 people found the following review helpful
Not my introduction
By dragondazd on August 19, 2008
Format: Paperback
I bought this book because I wanted to explore entry into abstract algebra. I don't consider this book a very good introduction to any area of math. This book is very heavy on the definitions, theorems and proofs. While the examples are good, they are little raisins amidst the hard tack that comprises the meat of the book.

This book might be great for a math person who just needs the facts or someone who wants a concise listing of pertinent information, but if you want to learn the subject, there's surely something more engaging and less terse. It is not difficult, but it does not motivate me to read the 8th type of group in a 2-page section much like the last one. I don't use a dictionary as my textbook when learning French, but that might be all someone else needs.

So some people might find it useful, but I didn't. Maybe I'll have a use for it one day.
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