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Topics in Algebra, 2nd Edition 2nd Edition

by I. N. Herstein (Author)
4.4 4.4 out of 5 stars 199 ratings
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New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.
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Previous page
  1. ISBN-10
    0536010900
  2. ISBN-13
    978-0471010906
  3. Edition
    2nd
  4. Publisher
    John Wiley & Sons
  5. Publication date
    June 6, 1975
  6. Language
    English
  7. Dimensions
    6 x 0.91 x 9 inches
  8. Print length
    388 pages
  9. See all details
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Editorial Reviews

About the Author

Israel Nathan Herstein was a mathematician, appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books.

Product details

  • ASIN ‏ : ‎ 0471010901
  • Publisher ‏ : ‎ John Wiley & Sons; 2nd edition (June 6, 1975)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 388 pages
  • ISBN-10 ‏ : ‎ 0536010900
  • ISBN-13 ‏ : ‎ 978-0471010906
  • Item Weight ‏ : ‎ 1.44 pounds
  • Dimensions ‏ : ‎ 6 x 0.91 x 9 inches
  • Customer Reviews:
    4.4 4.4 out of 5 stars 199 ratings

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I. N. Herstein

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Customer reviews

4.4 out of 5 stars
4.4 out of 5
199 global ratings

Top reviews from the United States

Otto Scroggs
5.0 out of 5 stars Still an absolute must to get a real sense of how - and why - algebra works
Reviewed in the United States on September 9, 2015
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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.
4 people found this helpful
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bach
5.0 out of 5 stars perhaps you'll feel better starting with Hungerford
Reviewed in the United States on November 25, 2017
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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.
6 people found this helpful
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James M. Cargal
5.0 out of 5 stars Classic Text but not the Most Elementary
Reviewed in the United States on July 12, 2000
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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.
26 people found this helpful
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Alex
4.0 out of 5 stars If I could relearn algebra, this would be my text.
Reviewed in the United States on February 4, 2011
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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.
24 people found this helpful
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Ryan
5.0 out of 5 stars Required Textbook
Reviewed in the United States on September 6, 2011
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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.
One person found this helpful
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N. Callister
5.0 out of 5 stars Five Stars
Reviewed in the United States on July 20, 2017
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Wonderful Topics in Algebra, 2nd Edition. My husband was jubilant to have this book again!
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Deif
3.0 out of 5 stars Three Stars
Reviewed in the United States on October 26, 2014
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good
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Angélica
5.0 out of 5 stars Five Stars
Reviewed in the United States on June 19, 2015
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Excelente!
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Top reviews from other countries

Suprotim
5.0 out of 5 stars This is best for Indian universities
Reviewed in India on October 8, 2023
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This book is good to understand the concepts of Linear Algebra
Only drawback is the font which is smaller and street the eyes more.
Best for Msc and bsc syllabus of indian universities, this is at par with almost all syllabuses.
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Amazon Customer
5.0 out of 5 stars This is a great book, and I’m happy I purchased it
Reviewed in Canada on March 5, 2018
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This is a great book, and I’m happy I purchased it. It certainly is an introduction to abstract algebra, which one would follow after a typical course in linear algebra. After this book I will read Jacobson’s Basic Algebra, and I think this book really will prepare me to learn more advanced abstract algebra.
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Anmol Davesar
5.0 out of 5 stars Good one
Reviewed in India on August 18, 2023
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Anmol Davesar
5.0 out of 5 stars Good one
Reviewed in India on August 18, 2023
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Amazon Customer
5.0 out of 5 stars Excellent moderate difficulty book
Reviewed in India on October 23, 2018
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I've used this book mainly for group theory. The material is presented well and the proofs are elegant. The exercises are very fun to do and the problems range in difficulty.
I've used Artin before this and I love that book too (you should grab that book if you'd rather have a more matrix oriented approach).
Overall, this is my favourite book for group theory at an undergrad level. Pick this book up if your proof ability is above average. Couldn't recommend this book strongly enough!
5 people found this helpful
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Davees C. J.
5.0 out of 5 stars Good Book
Reviewed in India on September 12, 2022
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This is very useful book.
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