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A Book of Abstract Algebra

4.34  ·  Rating details ·  458 ratings  ·  23 reviews
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math ...more
Paperback, Second Edition, 400 pages
Published January 14th 2010 by Dover Publications (first published March 1st 1982)
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David Mario Mendiola
Nov 17, 2017 rated it it was amazing
Holy morphism, this book is great. I can't wait until they inevitably publish the gilded-leaf KJV of it.

The first chapter is enough to get you psyched about Abstract Algebra. He makes it perfectly clear what our motivation is, so when groups and rings start coming, they feel so natural rather than like arcane math objects. I've been evangelizing to friends and coworkers the spirit of algebra with (very) limited success.

If I may be so bold as to skirt on the edges of blasphemy, some other peopl
Drew Henry
Jul 01, 2015 rated it it was amazing
A Book of Abstract Algebra gives an excellent introduction to abstract algebra. The contents cover groups, rings, and fields as well as some history and additional related topics (such as a brief introduction to number theory). It is one of the most accessible books published by Dover and reads like a novel. Solutions to selected exercises are available in the back of the book.
Jul 25, 2020 rated it really liked it
good for if u stopped taking algebra in second year but then decide to do a PhD in it
Jul 20, 2019 rated it really liked it
Shelves: math-stats-cs
A really useful book for those interested in learning algebra through self-study as a first exposure! The book is good in that it contains a big variety of topics (groups, rings, even a material on number theory and Galois theory), but is still very straightforward in its exposition, and builds on more conceptually straightforward concepts to bridge the gap between a person used to more computational math to someone who could learn abstract algebra.

Main gripes with the book is that the exercises
Lance Johnson
Mar 05, 2019 rated it liked it
Shelves: math
Generally a good book, it does have some downsides. The explanations are good and start out with a minimum of assumed knowledge. The exercises are generally good and interesting, but only a few of them have solutions provided, making it very difficult to know when you have made a mistake. Additionally, there are a number of small errors in the book, some of which are difficult to catch. There is no published errata so the reader is on their own in trying to avoid these errors. In short, this boo ...more
Yash Patel
Mar 06, 2020 rated it it was amazing
Great book on abstract algebra! There were a number of things that I either did not understand or find strong motivation for when I originally learned the subject, but this book walked through these for all the material it presented extremely well! Coverage of groups, rings, field extensions, FHT, and applications to polynomials followed roughly what I did in class, so this book served as a really nice cover-up. There are also a TON of exercises in the book, though they generally weren't especia ...more
Kevin K. Gillette
Jul 09, 2014 rated it it was amazing
Shelves: mathematics
Despite the title, I found this monograph by Pinter surprisingly accessible! It would make an excellent accompanying text for any upper-level undergraduate or graduate-level course in modern algebra, to go along with (for example) Herstein's legendary text. ...more
Apr 29, 2017 rated it really liked it
Positives: This is a lovely book, making algebra (groups, rings, isomorphisms...) less scary.

Negatives: The lack of solutions to most of the exercises means I've no idea if I'm getting any of this right or not. Sometimes I don't even understand what the question is :-(
Kent Sibilev
Mar 13, 2020 rated it it was amazing
I had so much pleasure of reading this textbook. It is a perfect introduction to such a beautiful topic.
Maaz Muhammad
Oct 25, 2020 rated it really liked it
Fantastic introduction to abstract algebra at the senior undergrad or beginner grad level. Pinter writes with passion and transforms what may seem like a too-abstract field into a lively study. My motivation for reading this book was to better understand the fundamental ideas behind things like “addition” and “multiplication” on different “objects”: schoolchildren know how to do them for numbers, and later we learn how to do them for more complex objects like matrices and functions. The amazing ...more
Sebastian/S.T. Veje
Feb 03, 2020 rated it really liked it
Probably the best book on the subject I've found so far. Other books of comparable size (it's not a huge book) don't seem to cover as much ground, or as effectively. Concise but still very readable, and it doesn't skimp on exercises. In fact, a lot of its conciseness probably comes from the fact that it explains a lot of its material more in-depth through exercises. ...more
Thomas Bell
Aug 24, 2019 rated it it was amazing
Very good introduction to abstract algebra. Puts it on a very simple level, but that's good for students who are seeing this level of abstraction for the first time in their lives. By the end of the book it does get more difficult, but by then they've had more time to get used to everything. ...more
Ian Finlay
My teacher really likes this book. As a student, it's pretty clear and enjoyable to read when I get the concepts. ...more
May 06, 2020 rated it liked it
Shelves: leido
Se entiende bien pero no es nada formal, y tampoco profundiza nada en los temas interesantes.
Jan 19, 2021 rated it it was amazing
A great intro book, although the last few chapters leave much to be desired.
Feb 17, 2020 rated it it was amazing
Phenomenally written book. I especially enjoyed the history of Algebra at the beginning.
Gregory Reshetniak
May 05, 2020 rated it it was amazing
Great book for self study of the subject.
Effy Feng
May 21, 2020 rated it it was amazing
Feb 09, 2017 rated it really liked it
Shelves: february-books
Good book about the modern algebra. I really enjoyed it and am looking forward to learning more on this subject. I recommend this book to nerds like me.
R.r. Hildebrand
Dec 31, 2010 rated it it was amazing  ·  review of another edition
Excellent introduction to the subject matter. The first chapter alone opened my eyes and helped me understand some things I had been puzzling over for years.
Nov 21, 2011 rated it it was amazing
Better than Wikipedia!
Randy Hildebrand
Dec 31, 2010 rated it it was amazing
Excellent introduction to the subject matter. The first chapter alone cleared up questions I had had for years.
Jul 10, 2015 rated it really liked it
Readable at beginner or advanced level.
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Jul 02, 2017
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