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Schaum's Outline of Group Theory Paperback – June 22, 1968

ISBN-13: 063-9785300502 ISBN-10: 0070041245 Edition: 1st

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Product Details

  • Series: Schaum's Outline Series
  • Paperback: 288 pages
  • Publisher: McGraw-Hill; 1 edition (June 22, 1968)
  • Language: English
  • ISBN-10: 0070041245
  • ISBN-13: 978-0070041240
  • Product Dimensions: 8.2 x 0.5 x 10.8 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #225,065 in Books (See Top 100 in Books)

Editorial Reviews

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Customer Reviews

From the book, I appreciate that there are readable examples!
Ng Kwok Wai
I am going back to Milne now, but this book is good if you are learning group theory on your own, and just for fun.
Antoine J. Bruguier
It's got, in my opinion, too much content, and its content could've been explained more efficiently.
Ben C.

Most Helpful Customer Reviews

41 of 43 people found the following review helpful By pedro navaja on June 4, 2000
Format: Paperback
This book is well organized and broad for a problem-solver, and has several useful features for beginners such as classification of groups up to order 15 and complete multiplication tables for A4 and S4 (no one would take the time to actually write and print these out, but they did in this book).
I also find the problems very well-selected and are frequently used later on, so you feel you didn't just go randomly solving problems.
The authors give many examples of groups and
groupoids, ranging from isometries to Moebius transformations, and a bit of free groups and group presentations are also covered.
The Sylow Theorems are proved in the usual way, as well as the Cauchy Theorem for abelian groups, even though it is not explicitly called by that name.
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17 of 18 people found the following review helpful By D. R. Greenfield on June 21, 2006
Format: Paperback Verified Purchase
I had been studying group theory on my own independently using this book for the last seven months when I misplaced it while at work - along with the notebook which I had painstakingly and carefully created from my hundreds of hours of study in this book. To say the least, I've been absolutely devastated at losing my notes; but the Schaum Outline I can easily replace.

I had thought, after the book was lost, of trying another text. But most of the introductory textbooks on abstract algebra cover a lot of other things besides group theory. And as a result, they do not go very deeply into any one algebraic structure, but just scratch the surface. I want to focus on groups because this will bring me into the advanced areas of more quickly as a result of the narrowness of focus.

The notation in this book is initially peculiar. I was not used to seeing the notation xf for a function instead of f(x). The lack of parentheses was confusing, so when making my notes I simply added them, creating the notation (x)f. In fact this backward notation does seem to work better for abstract algebra, and after a while it becomes natural, and the standard notation f(x) becomes odd. So expect to see such things as this for automorphisms: (a*b)f = (a)f*(b)f.

Another problem with the book that I've encountered is a number of typos. They are few but still enough to cause some real confusion. The first four chapters are, in my opinion, outstanding. As the author states, chapters 5-8 cover a variety of intermediate-level topics and can be studied in any order whatsoever. Going into chapter 5, I encountered an increasing difficulty understanding this text just prior to presenting proofs of the Sylow theorems. In particular, I did not feel that conjugacy classes were very well presented. On the plus side, however, there is a thorough coverage of cyclic and finite groups, and a strong emphasis throughout the text on proving the various theorems and lemmas.
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15 of 20 people found the following review helpful By Ben C. on June 4, 2004
Format: Paperback
I know maths books aren't meant to be fun to read, but this book is *extremely* boring. It's got, in my opinion, too much content, and its content could've been explained more efficiently.
Most of the notation used in this book (it was published 36 years ago) is out of date, which can be annoying as it makes the confusion subject of group theory even more confusing.
The good thing about this book is that it's great value for money. However, as said above, it might contain too much if you're an undergraduate student like myself who just wants to understand the basic stuff.
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3 of 3 people found the following review helpful By Antoine J. Bruguier on October 25, 2010
Format: Paperback Verified Purchase
I first started to look at J.S. Milne's class notes:
[...]

However, I wasn't able to truly understand them. The book by Baumslag and Chandler is a good introduction. The writing is clear, the examples showed me how to use the theorems. According to the authors, the required level is high-school math. That may be true, but I guess having a little backgroud in group, rings, field, etc... helped me.

I am going back to Milne now, but this book is good if you are learning group theory on your own, and just for fun.
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12 of 16 people found the following review helpful By Mr. Europe on September 13, 2005
Format: Paperback
This is a reprint of a book that's been around since the sixties. It needs an update, especially the exercises, which are somewhat disorganized. The authors, like many mathematicians, have difficulty with the spoken language and do not adequately motivate the material, on an historical or intellectual basis. That said, this is still one of the best introductions to the subject available, at less than 20% the going cost of a textbook.
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6 of 8 people found the following review helpful By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on July 7, 2008
Format: Paperback
This is another of the Schaum's outline books that helped me launch my career. I was taking a master's level course in abstract algebra and was loaded down with homework problems. After struggling to get one assignment done, I went to the local bookstore and purchased this book. My performance immediately improved. I found a few of the homework problems in this book, but the main advantage was that there were similar problems that I could work through and understand. From this, it was a relatively simple matter to execute a similar proof to solve the problem I was given. My final grade was an A and it wasn't even close.
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