Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics) | 
 enlarge | Author: B.a. Sethuraman
Publisher: Springer
Category: Book
List Price: $59.95
Buy New: $39.96
You Save: $19.99 (33%)
New (19) Used (10) from $33.00
Rating:  3 reviews
Sales Rank: 969359
Media: Hardcover
Edition: 1
Pages: 212
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.3 x 6.2 x 0.7
ISBN: 0387948481
Dewey Decimal Number: 512.02
EAN: 9780387948485
Publication Date: November 26, 1996
Availability: Usually ships in 24 hours
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Product Description
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
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| Customer Reviews:
 A must for all math majors and aspiring math teachers! August 20, 2004
C. D. Goodman (Northridge, CA)
10 out of 10 found this review helpful
I used this book for two classes and found it to be tremendously helpful. In both cases, it was a supplement to the required text. First, in my Foundations of Higher Mathematics course, I found it to be an excellent resource for understanding some of the basic concepts of divisibility in integers, gcds, primes and the Fundamental Theorem of Arithmetic. When first learning to understand and write proofs, one must have good understanding of the basic material. B. A. Sethuraman leaves no stone unturned when it comes to this. The text helps you learn how to learn mathematics, and this can easily translate into better proof writing.
Next, I found the book to be a valuable supplement to Algebra: Abstract and Concrete by Frederick M. Goodman, used in my Elementary Modern Algebra course. The explanations of rings and fields were excellent, but beyond this is a book replete with examples. When first discovering abstract algebra, one can never have too many examples!
This book is a beautiful combination of close attention to details, without being pedantic, as well as a broad overview of abstract algebra. I highly recommend it for all beginning math majors and aspiring math teachers!
From the abstract to the concrete March 6, 2003
rburra (CA, USA)
6 out of 7 found this review helpful
The value of this book becomes apparent when you miss a class. You can make it up by directly referring to the book and reading the chapters. Another thing I like about the book is that there are no dangling ends.. the information required to understand the book is found in the book itself. It is a book I would like to permanently keep on my bookshelf. It rocks.
 Rings, Fields, and Vector Spaces February 9, 2007
Mauro Enriquez (California, USA)
0 out of 4 found this review helpful
This book is aimed to prospected High School teachers. The author's main area of study is Algebra. I would not recommend this book to someone looking for rigorous mathematics.
"Rings, Fields, and Vector Spaces" is a detailed book so much that I found myself lost while following proofs. This book is also outdated and is sold as quick-xeroxed copies at the bookstore of California State University Northridge for the price of about $12. I would recommend the newest edition along with "Introduction to Abstract Algebra" by Neal H. McCoy.
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