Ebook Algebra, by Michael Artin
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Algebra, by Michael Artin
Ebook Algebra, by Michael Artin
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INTERNATIONAL EDITION, Printed in English, Same Contents, Territorial restrictions mentioned on cover, Legal to use
- Sales Rank: #163069 in Books
- Published on: 2011
- Dimensions: .0" h x .0" w x .0" l, 1.06 pounds
- Binding: Paperback
Most helpful customer reviews
64 of 65 people found the following review helpful.
An Excellent Introductory Text
By Reviewer #51413
Since there is currently only one other review, which I find very inaccurate, I will throw in my 2 cents.
First of all, I disagree about the readability of Artin's book. I found the presentations crystal clear, and in particular the proofs are very readable. Artin avoids clever tricks when a straightforward approach is available and does a good job explaining the reasoning behind proofs. There are also enough examples to illustrate the concepts presented.
Second, the exercises in Artin are excellent. They provide a way to become familiar with the definitions and techniques in the chapter, as well as illustrate some interesting applications of the material. There are some easy exercises, and some very difficult ones. I'm not sure what more you could ask for.
As far as Dummit and Foote goes, I agree that it is an excellent text. However, I would prefer Artin as an introductory text, since it is a gentler introduction to all the abstraction. Dummit and Foote is a better for a course beyond an introduction, and also serves as a better reference. Anyway, Artin covers a different set of topics than more "standard" texts such as Dummit and Foote, such as plane symmetries and linear groups.
Overall, I think Artin's book is an excellent introduction to abstract algebra. In fact, the two semester course using Artin that I took (taught by the man himself), was one of the best academic experiences of my life.
31 of 31 people found the following review helpful.
Good, challenging book
By murmillo
I used this book in an advanced algebra course in which the students learned on their own with minimal guidance from the professor and discussed the assigned readings and homework once a week. I found this book difficult for self-learning. Artin aims for concision in his proofs, making the reader prove some things on his own. This is not necessarily bad, and is often very helpful for the student's learning. But it can be tough and frustrating if you need a hint, or get lost in a proof. In other words, it's perfectly good to leave steps for the reader, provided that the reader can actually fill in the gaps. For that reason, I think this book is best used as a supplement to a professor's lectures, rather than for self-learning. This book does a good job of condensing the material, and the theorems are easy to find, so it is useful when reviewing. I like the topics in the book. One of the aims of this book is to introduce the reader to the various applications of algebra. To this end Artin includes not only the typical algebra material, but also symmetry and imaginary quadratic fields. Unfortunately I found the second edition worse than the first edition in its chapters on fields. Artin took out many examples in the first edition, for reasons I don't know. The chapter on fields is full of definitions and theorems, but in my mind it doesn't elucidate the main ideas and themes effectively. I think Dummit and Foote is much better at explaining basic Galois theory. The exercises, though, are very good. Overall, this is a challenging book; when used effectively in a well-taught course (for example, see Benedict Gross's excellent free online videos on algebra), it should prove to be very rewarding.
6 of 6 people found the following review helpful.
Good bargain, but one chapter missing
By wy-reader
Cheaper version printed in India (nothing wrong with that). Warning: the book does not include the last chapter on Galois Theory, so this version is shorter (482 pages instead of 543 pages in the regular 2nd edition). Too bad. Other than that, a good bargain.
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