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Algebra 1st Edition
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Top Customer Reviews
How to read it:
With a cup of coffee, or tea, and a notepad of paper for you to make comments on. Do not take notes; anyone knows that simply rewriting things doesn't do anything for learning. You should do the proofs in different ways, if you can see how, and try to make some of the aside remarks he makes into theorems or more precise ideas (this is not to say that Artin lacks rigor; this is just talking about the general commentary. When he makes commentary, it always seems to be enough to actually dig out exactly what to do after a little scratching). He also leaves a lot of easier proofs to the reader, so do them.
Is non-standard a less-rigorous approach?
No. Artin is definitely doing his own thing here, but I think it works really well.Read more ›
If Bourbaki is your god and you believe axiomatization is the only way to present this material, then you won't like this book. But remember that this work is written by the son of the great Emil Artin, and Michael is a first-rate mathematician as well.
The ordering of topics and the approach are non-standard but this emphasis on the concrete before the abstract and the use of a function motivated development make this book stand apart from the competition. It is not only the best undergraduate abstract algebra text that I have seen but it can be very useful for graduate students. My undergraduate major was not in math, I HAD NO UNDERGRADUATE COURSE IN ABSTRACT ALGEBRA but I jumped into a really heavy-duty graduate level abstract algebra course with Hungerford as the text. Now, I feel that Dummit and Foote is much better than Hungerford and Artin is even better than the aforementioned and much better - and more thoughtful -than Gallian. I wish I had Artin to give me enlightenment and perspective when I was struggling with this material having had no prior exposure to it.
This is a silly argument, but it is telling of the pedagogical philosophy and communication bias in the book. The purpose of a text book is to communicate, but Artin's lazy stream-of-consciousness style will leave many out in the cold.
Indeed, the book does seem to be written for those who do not need it, an enormous sequence of casual asides to a lost conversation between students already versed in the field and a professor intent on communicating in fits and starts, short growls and nods.
As one reviewer noted, the text derives from Artin's lecture notes. This is not uncommon, but the book shows little evidence of any thought put into making the book useful as a reference. Rather it has many gaps both large and small. It is what one might expect from putting in the least amount of editorial work and hastily typesetting the notes for publication.
In terms of original content, Artin provides important insights. Still, while I can imagine thinking "what does Artin have to say about (blank)", I cannot imagine bothering to search a book so deliberately and thoroughly written to make the reader ask and answer their own questions.
Most Recent Customer Reviews
International shipment is pretty fast. Quality is just normal.Published 17 months ago by Bae Jae Kuk
This book was everything the seller said it would be. It is also nice that its paperback with the heavy load of huge math books I like that it isn't so heavy and bulky. Read morePublished 23 months ago by Chess
As a High School Mathematics Teacher, I used Matrices to give Advanced students an example of an algebraic system. What a wonderful book.Published on April 14, 2014 by James L. McKay
Many excellent texts on abstract algebra exist. I would recommend Artin to an absolute beginner however along with Pinter, or Saracino, or Fraleigh or Herstein's Abstract Algebra... Read morePublished on April 17, 2013 by Stuart Leviton
This book has an approach that is not intuitive. One commenter suggests to change how the chapters are organized. I heartily agree.Published on May 20, 2012 by Lulu Cerne
Book is in good shape as advertised. Don't particularly like the big USED sticker right across the middle of the front cover but the rest is fine. Read morePublished on February 8, 2012 by Thomas Cleary
This text provides a very nice treatment of abstract algebra; most proofs are in the book and the ones that aren't are straightforward. Read morePublished on September 15, 2011 by Anonymous
This book is useless for students enrolled in a college or university. As others mention, this book mimics lecture notes and doesn't follow the theorem-proof-example-excercise... Read morePublished on November 25, 2010 by Chris