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Abstract Algebra: A Geometric Approach | 
 enlarge | Author: Theodore Shifrin
Publisher: Prentice Hall
Category: Book
List Price: $73.33
Buy New: $58.59
You Save: $14.74 (20%)
New (9) Used (4) from $51.00
Rating:  5 reviews
Sales Rank: 684350
Media: Paperback
Pages: 416
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 9 x 6.9 x 1.1
ISBN: 0133198316
Dewey Decimal Number: 412.02
EAN: 9780133198317
Publication Date: August 24, 1995
Availability: Usually ships in 1-2 business days
Condition: SHIPS FAST! via UPS(AK/HI Priority Mail) within 24 hours/ NEW book
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Product Description
This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.
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| Customer Reviews:
 an excellent book for a student who will work hard October 19, 2005
twit
7 out of 7 found this review helpful
This is a very intelligent book, by a gifted expositor and teacher. The organization is based on thoughtful pedagogy rather than imitating other standard texts. E.g. it makes sense to begin with integers and polynomials and fields, instead of groups as most books do, because these are simpler and more familiar objects, and most people will find them more useful.
The abstract ideas that will occur in studying groups (and general rings) come up here in a more familiar setting. The author is always mindful of the interest of the material and gives significant applications as soon as they are feasible.
A particularly strong feature is the excellent sets of problems. Students should try all of them. The use of algebra to do some interesting projective geometry offers a fine glimpse of the more advanced use of the topic usually denied beginning students.
The book is written in a style suitable to a reader who has some mathematical sophistication, clear but not spoonfed. Shifrin never talks down to the student, and tends to present proofs in an articulate, but somewhat succint, rigorous, elegant style. A student with no experience at proofs will be challenged to understand some arguments, where parts are left for the student to fill in.
Thus reading this book is intended to be an active endeavor, pencil in hand, as it should always be.
A clear and well organized book. August 24, 2000
Russ Webb (San Jose, CA)
6 out of 8 found this review helpful
I took Ted Shifrin's Abstract Algebra course at UGA using the lecture notes that eventually became this book. Shifrin is one of the most decorated mathematics teachers around; his skill at presentation and his concern for student understanding come through in this book.A course taught from this book will, of course, reflect its instructors abilities and compatibility with the text. As a book to read yourself this is an outstanding text. The geometric flavor of the book works extremely well for the geometrically inclined. Because of its focus on clear instruction, its weakest role is as a reference book. If they'd only release a second edition fixing the books typos this would be more solid five star text. [...]
For esoteric minds September 23, 2008
Fanny Chin Kleisler (Huntington Station, NY)
0 out of 1 found this review helpful
Only on chapter 2, but I can see that the text jumps several steps in the equations. Need to fill them in for yourself. If you're a career changer like myself who is coming back to this level math after several years, search the internet for math examples or look up other texts that fill in the holes.
 see below April 3, 2000
skeezer (Salem, Massachusetts)
2 out of 23 found this review helpful
I took a course which used this text, and I must say that that class was the least interesting class I have taken in my life. I think that looking at algebra from a geometric standpoint (and vice versa, an equivalent statement) ruins both algebra and geometry. Algebra is beautiful. Geometry is beautiful, but for a different reason. The intersection of their beauty (also, the beauty of their intersection) is the null set.
 The Worst Book of my Studies in Mathematics December 22, 2004
Math Girl (Oregon)
1 out of 9 found this review helpful
This is the worst math book I have ever encountered. It is counterintuitative moving backwards compared to other text books teaching the same content. This book could have been so much more informative, however, there are little theorems that are missing. It could have had more pictures illustating the bigger ideas! There is no solutions to odd numbered exercises. I struggled to find other books to help me through this one, but no other book I found approaches the material in the same manner.
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