Topics in Algebra [Paperback]

I. N. Herstein (Author)

Book Description

ISBN-10: 0471010901 | ISBN-13: 978-0471010906 | Publication Date: June 20, 1975 | Edition: 2nd

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.

Product Details

• Paperback: 400 pages
• Publisher: Wiley; 2nd edition (June 20, 1975)
• Language: English
• ISBN-10: 0471010901
• ISBN-13: 978-0471010906
• Product Dimensions: 6 x 0.9 x 9 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars  See all reviews (25 customer reviews)
• Amazon Best Sellers Rank: #307,980 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

32 of 34 people found the following review helpful:

5.0 out of 5 stars The greatest introduction to algebra, April 4, 2000

By 

Chan-Ho Suh (California) - See all my reviews
(REAL NAME)   

This review is from: Topics in Algebra (Paperback)

I knew before I read Herstein that it was a very famous book known for its exposition and interesting problems. But I had no idea of the reality: it IS amazing! Herstein's approach is to just concentrate on a few basic notions and take it as far as possible before introducing new ideas. This results in very simple-seeming proofs which flow elegantly into the next theorem and proof. Incidentally, Herstein's approach is to also have a bunch of problems that are more meant to be 'tackled rather than solved.' He hopes that by trying to solve hard problems, the reader will come across ideas which are later explained in the book. At that stage, the new ideas are natural. This means these problems are very difficult, and even if you read ahead, they remain difficult. Not to say there aren't some easy ones, but I'd say somewhat less than 50% are difficult. But it's all worth it. I recommend studying out of this book in conjunction with a more standard reference type textbook. Then you get the best of both worlds.

By the way, this book contains an intro to Galois Theory! How many books intended for undergraduates have such topics and such a prestigious reputation?

18 of 19 people found the following review helpful:

5.0 out of 5 stars A classic text for intermediate level abstract algebra, July 22, 1999

By 

Alexis Humphreys ([e-mail]) (Virginia) - See all my reviews

This review is from: Topics in Algebra (Paperback)

A very engaging book. The proofs are very carefully written and the flow of logic and ideas is impeccable. I once crammed before an exam and read about 120 pages in a single evening and it just "clicked", enjoying the book more and more as I read on. The definitions and proofs flow very nicely and are always at the right level of rigor. In my opinion, this is a classic of exposition in Abstract Algebra.

19 of 21 people found the following review helpful:

5.0 out of 5 stars Classic Text but not the Most Elementary, July 11, 2000

By 

James M. Cargal (Montgomery, AL USA) - See all my reviews
(REAL NAME)   

This review is from: Topics in Algebra (Paperback)

I wonder if all the reviews I see are of "Topics in Algebra", 2nd ed. or "Abstract Algebra", 3rd ed. The second book is a good undergraduate introduction. However, Topics could be use at the graduate level. I. N. Herstein was a great authority and his writing has unusual clarity. Topics is not only more advanced than the other but I think it is simply the better book. The first edition helped me in graduate school some thirty years ago. The treatment of group theory is particularly rich, with a thorough explication of the Sylow theorems.