Basic Abstract Algebra | 
 enlarge | Authors: P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul
Publisher: Cambridge University Press
Category: Book
List Price: $65.00
Buy New: $45.99
You Save: $19.01 (29%)
New (17) Used (12) from $27.97
Rating:  8 reviews
Sales Rank: 285755
Media: Paperback
Edition: 2
Pages: 508
Number Of Items: 1
Shipping Weight (lbs): 1.7
Dimensions (in): 8.8 x 6 x 1.3
ISBN: 0521466296
Dewey Decimal Number: 512.02
EAN: 9780521466295
Publication Date: November 25, 1994
Availability: Usually ships in 1-2 business days
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Product Description
This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples.
Book Description
In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem.
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| Customer Reviews: Read 3 more reviews...
 A must for every math library September 12, 2002
Scott M. Feldman (Rockaway Park, NY USA)
7 out of 8 found this review helpful
Bhattacharya is very concise and readable for a very difficult subject, if you are new to abstract algebra. His proofs are complete and expert and his outline is great. Also his problems are useful
An extremely good text book February 18, 2000
Jue Wang (Ankara Turkey)
6 out of 8 found this review helpful
This is an excellent book containing more than enough examples.And the concepts are explained very very clear.The most improtant is that, although this book is easy to follow, but its content is not simple.
Excellent. Don't get thrown off by "Basic" Abstract Algebra September 3, 2008
Mensah Alkebu-lan (Washington, DC USA)
1 out of 1 found this review helpful
This book will get you there if you believe in it. It has examples with solutions and problems with solutions. The only topic that does not have problems with solutions is categories. For this, I have the Hungerford text, and I am presently in the process of finding a better book for this. Otherwise it is the perfect book for self-study.
An extremely good text book February 19, 2000
Jue Wang (Ankara Turkey)
2 out of 3 found this review helpful
This is an excellent book containing more than enough examples.And the concepts are explained very very clear.The most improtant is that, although this book is easy to follow, but its content is not simple.
 too concise in some parts, good elsewhere April 13, 2004
Fourier Jr (Victoria, Canada)
10 out of 10 found this review helpful
I picked this book up at my students' society used bookstore for $10, it turned out to be a pretty good bargain. However, there are some theorems where the authors say something is obvious & I didn't think so. It isn't very often though, the rest of the book is pretty good, and I was a bit surprised because I had only heard of the well-known authors like Gallian, Herstein, Lang, etc. It covers maybe 3 courses worth of material too, including groups, rings, fields, vector spaces & modules, Galois Theory (complete with every possible application!), and more advanced stuff like a separate chapter on modules (in addition to the section with vector spaces), tensor products and principal ideal domains. There are also complete solutions to the odd-numbered problems. This book is surprisingly good except in certain parts, I like it.
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