Topics in Algebra, 2nd Edition 2nd Edition

by I. N. Herstein (Author)

29 customer reviews

ISBN-13: 978-0471010906

ISBN-10: 0471010901

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Product details

Paperback: 388 pages
Publisher: John Wiley & Sons; 2nd edition (June 20, 1975)
Language: English
ISBN-10: 0471010901
ISBN-13: 978-0471010906
Product Dimensions: 6.3 x 1 x 9.4 inches
Shipping Weight: 1.5 pounds (View shipping rates and policies)
Average Customer Review: 29 customer reviews
Amazon Best Sellers Rank: #256,560 in Books (See Top 100 in Books)
- #334 in Books > Textbooks > Science & Mathematics > Mathematics > Algebra & Trigonometry
- #437 in Books > Science & Math > Mathematics > Pure Mathematics > Algebra

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Otto Scroggs

Still an absolute must to get a real sense of how - and why - algebra works

September 9, 2015

Format: PaperbackVerified Purchase

Apparently one of the wellsprings to the previous generation of algebraists, this remains the ultimate introduction to modern abstract algebra and key topics like group theory, rings etc. While it doesn't focus upon category theory and such modern topics it gives a really thorough and discursive introduction to the core topics and constantly gives direction and motivation - and excellent well integrated examples that the vast majority of modern algebra books totally lack. The discussion is conversational and gives a real sense of why methods are developed and used. And while few diagrams are used the commentary is so clear and helpful that it nonetheless brings the whole subject to life.

But sad to see that scarcity value is clearly limiting access by the outlandish prices for available copies.

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Alex

If I could relearn algebra, this would be my text.

February 4, 2011

Format: PaperbackVerified Purchase

Ok, as of now, I'm not a huge fan of algebra. I feel that this is a result of using Artin's algebra text (which has a very strong flavor that you may or may not like) and the fact that algebra feels like a collection of topics as opposed to a coherent theory. However, this book makes me tolerate algebra, and I must certainly applaud it for doing so.

Herstein is one of the best mathematical writers I have read. I feel that he tops Spivak, Stillwell, and possibly even Rudin. I'd probably rank him with Axler. He writes with clarity and enthusiasm, and his obvious love for the subject is dripping off every page. Hertein is somehow able to take a very typical algebra book, and make it into something enjoyable. One important thing to note is that this book is not quite as flavored as Artin's is, and this is the result of Herstein treating conventional topics in a rather conventional way. People tend to either love or absolutely hate Artin, but no one could truly hate this book's presentation.

As commented on by many reviewers, this book is especially strong in group theory. This book takes time to build up more theory than most other books, and it does so in an exciting way. However, after Herstein's discussion of groups, this book becomes quite shallow in many areas. He dedicates only one subsection to modules, and many reviewers have commented on the skimpiness of his field and Galois theory sections. This is a book that will be easily outgrown by anyone who uses it, and this is the reason I have given it four stars. I cannot really comment on what good references for undergrads would be on modules, but Stillwell's Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics) is a good introduction to field and Galois thorey. The sheer fact that a student would need to supplement an already expensive book with others is quite annoying. Artin, on the other hand, spends a chapter on rings, and chapter on modules, a chapter of fields, and then finally a chapter on Galois thoery. The fact that Artin gives decent discussions of each of these topics has caused me to begrudgingly return to his book and start looking for buyers of this one. I feel that this is the reason that so many more classes will opt to use Artin as opposed to this book.

However, I don't think that this book is useless or will become obsolete. I feel that anyone who works through this book will easily be able to begin using a book like Lang's Algebra. So I guess the choice of whether to use this book or Artin's will come down to the professor's (or buyer's) preferences in what should be covered and where to put the emphasis.

Like I said before, I'm not a huge fan of algebra, but I did enjoy this book. So I'm guessing that if anyone who actually likes algebra picks this book up, then they would probably view this book as the greatest thing ever. One word of caution, this is a more beefed up version of his Abstract Algebra, and so only stronger undergraduates should consider using this. This book is, after all, conventionally used in honors sequences.

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bach

perhaps you'll feel better starting with Hungerford

November 25, 2017

Format: PaperbackVerified Purchase

Herstein's Topics is the clearest, most naturally motivated exposition of abstract algebra. At any point in the text, the reader can sense the careful development of the whole. The exercises aren't a grad student's hodgepodge or filter that satisfies the publisher's urging to justify the latest edition. Dummit and Foote come across as confused and rushed in comparison. If you're absolutely new you abstract algebra, perhaps you'll feel better starting with Hungerford, then moving on to Herstein, or maybe working with them in tandem. Then cap off your journey with Van den Waerden.

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N. Callister

Five Stars

July 20, 2017

Format: HardcoverVerified Purchase

Wonderful Topics in Algebra, 2nd Edition. My husband was jubilant to have this book again!

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James Maxwell

Good book at a moderate mathematical level.

May 9, 2017

Format: PaperbackVerified Purchase

Large selection of topics. Assumes that nebulous quality called mathematical maturity, but the math is manageable for readers committed to learning this beautiful branch of mathematics.

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Angélica

Five Stars

June 19, 2015

Format: PaperbackVerified Purchase

Excelente!

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Ryan

Required Textbook

September 6, 2011

Format: PaperbackVerified Purchase

Required Textbook, but at Amazon you get new condition at half the bookstore price, arrives on time (fast) and in great condition. Easy and quick transaction with a source you can trust. I never worry about being ready the first day of class.

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Lawrence J. Winkler

Still Crazy (good) After All These Years

September 18, 2017

Format: Paperback

I gave it 4 stars because there maybe another newer better book out there, though unlikely. I bought and used this book in 1975 for an Astract Algebra course I took just for fun. I kept all the seminal books I used at university -- this is one of them. It makes math beautiful and enjoyable.

Missing is an Ebook version.

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Most recent customer reviews

Deif

Three Stars

good

Published on October 26, 2014

Michael C. Wilson

Easy to read, covers basic concepts

Topics is good for a first taste of Abstract Algebra. It seems very elementary to me, as I took a look at this after having gone through the book by Michael Artin.Read more

Published on October 18, 2007

math_grad

Disadvantages, Advantages Depending on Reader's Needs

While this book may have deserved 5 stars when it first came out, as it is very well written, it has disadvantages for students today.Read more

Published on July 15, 2006

Math Lover

Very nice book

This book is very nice. As an undergraduate I try to study this book to have a glimpse of abstract algebra. So far this is a pleasant experience.Read more

Published on January 21, 2006

PST

Good Introduction, useful for self study

I am an engineer by training and a sales man by profession, with a a strong liking for mathematics.
I found this book to be an very readable introduction to a subject...Read more

Published on April 23, 2004

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