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Introduction To Commutative Algebra (Addison-Wesley Series in Mathematics)

3.9 out of 5 stars 16 customer reviews
ISBN-13: 978-0201407518
ISBN-10: 0201407515
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  • Introduction To Commutative Algebra (Addison-Wesley Series in Mathematics)
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Product Details

  • Series: Addison-Wesley Series in Mathematics
  • Paperback: 138 pages
  • Publisher: Westview Press (February 21, 1994)
  • Language: English
  • ISBN-10: 0201407515
  • ISBN-13: 978-0201407518
  • Product Dimensions: 6 x 0.3 x 9 inches
  • Shipping Weight: 7.8 ounces (View shipping rates and policies)
  • Average Customer Review: 3.9 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Best Sellers Rank: #429,576 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

By Pedro L. Ribeiro on October 16, 2001
Format: Paperback
Some people believe that, for getting into algebraic geometry (by this I mean Grothendieck-like AG, with schemes and all that), one needs a monolithic training in commutative algebra (something like both volumes of Zariski-Samuel, for example). I disagree. This little book seems to be specially suited to those who want to learn AG. It's a bit too brisk, specially at the beginning - if you don't already have an acquaintance with the basics of groups, rings and ideals, you may run into trouble - but very illuminating. Masterful choice of topics, great exercises (as a matter of fact, about half the topics of the book, and more specifically the ones that are directly related to AG, are treated in the exercises, some of them quite challenging) - like one said before, it looks like a "chapter 0" of Hartshorne's book on AG. The authors consciously estabilish relations between the commutative algebra and the modern foundations of AG over and over along the way, illuminating both topics.
For the algebra itself, it also gets on well with Rotman's "Galois Theory" and MacDonald's out-of-print introduction to AG, "Algebraic Geometry - Introduction to Schemes", besides being the perfect preamble in commutative algebra to the books of Mumford and Hartshorne. A gem.
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Format: Paperback
This book is a classic of outstanding clarity and there is nothing that needs to be said about the content of this book that has not already been said elsewhere.

I am reviewing this book because of the printing quality of this edition. I am outraged. The cost of the printing is clearly below 2 pounds and the book is barely readable. Yet it is being sold for 40 pounds. This is an insult to both the reader and the authors.

What annoys me most is that I realised too late that I could return it even though it arrived undamaged. I want my money back. This is a disgrace.
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By A Customer on February 8, 1999
Format: Paperback
This book is almost everything you need to gain a solid background in commutative algebra. Moreover, it's trimmed down enough so that it doesn't have the things you don't need. If you're not an algebraic geometer or number theorist, it may be the only commutative algebra book you'll need.
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By A Customer on April 20, 1999
Format: Paperback
This is how mathematics texts SHOULD be written. As in technical writing, the smaller text is the better written text. Everything is clean and direct, with clairity obviously a prime consideration. One never gets mired down. The proofs are always as close to a "THE BOOK" proof as possible, with illuminating examples, and plenty of excercises, many with outlines for solution, which makes the book ideal for self study. This book is a revelation. If I had to take only one math text with me to a desert island, this would be the one.
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Format: Paperback Verified Purchase
Now this is clearly *the* best mathematics text I've come upon. It was the syllabus in my first course in commutative algebra. Taking the course and readig the book was a real pain, but I've never learned so much from so few pages.

In addition to introducing "all" necessary subjects in commutative algebra, the book is stuffed with really good exercises. I always come back to this book - looking up terms and definitions and proofs. And of course, taking it with me on holidays so I can work on the exercises :).
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Format: Kindle Edition Verified Purchase
Wonderful books. But sadly, the Kindle Edition is full of mistakes and typos such as missing a '.
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By DFT on September 10, 2016
Format: Paperback Verified Purchase
Prompt shipping. Product as described
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Format: Paperback
The material and exercises in this book are decent. The organization is so horrendous, that I'm dumbfounded it reached publication.

For example, if you miss a keyterm, virtually the only way to find it is to essentially reread the entirety of the text. Terms are often defined in exercises, only they forget to include them. At least I assume this is the case.
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