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An Introduction to the Theory of Groups (Graduate Texts in Mathematics), by Joseph Rotman
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Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions.
From the reviews:
"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
- Sales Rank: #1083857 in Books
- Published on: 1999-08-13
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.19" w x 6.14" l, 2.04 pounds
- Binding: Hardcover
- 517 pages
Most helpful customer reviews
16 of 16 people found the following review helpful.
Fun but not easy
By Jason Schorn
I am not sure I would take this specific book to a desert island but I would highly recommend it to anyone who is in possession of patience, self-motivation and willingness to spend time working through both the problems and any gaps that may occur within the proofs. This book can be used both by Graduate students or as a topics/independent study course for well prepared and motivated undergraduates.
In general, you can be guaranteed that the exposition present within any book by Rotman is par-excellence and this book is no exception. The material is presented in a sound and definite logical manner, which results in gently directing the reader through an 'introduction' to group theory by presenting the material in well thought out and bite sized portions. The only negative aspect of this book, which is minimal as best, is the authors choice of notation, for example the notation used to define G-sets in chapter 3 does not necessarily do the topic justice since G-sets in their own right are an important concept. But, as stated, this is the only complaint and is easily remedied. Enjoy!
27 of 28 people found the following review helpful.
Solid, but occasionally frustrating
By Adam Glesser
I used this book as a means of writing my senior thesis on the clasification of the projective unimodular groups and the Mathieu groups as being simple. Most of the proofs were well constructed and easy to follow. What this books lacks is a proof reading. Several of the proofs make no sense in the form in which they are written. Also, his notation at times becomes cluttered and not easy to follow. One can imagine how difficult notation can be in general, but when it is full of typographical errors, it can be almost impossible to wade through without the help of someone who knows the material. This book is certainly not a waste of time to read and is very good as a reference for theorems concerning finite groups, however do not put all your eggs in one basket and base your education on this one book.
21 of 21 people found the following review helpful.
Good book but many errors
By A Customer
This is a good book, well-organized and contains many useful materials. However I do not recommend it as an independent study textbook (which is what I did). There are many errors, most of them are typographical but some of them are wrong numbers which are very difficult to correct, especially in the exercises given. And the exercises are very important -- the following discussions and proofs depend on some of them. Springer published a "corrected second printing" in 1999 but obviously they didn't do a good job (I purchased the new one and I got the old one in the library).
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