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Description
A Concrete Approach to Abstract AlgebraBrief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school level algebra. Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite
Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school-level algebra.Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite arithmetic, an analogy between integers and polynomials, an application of the analogy, extending fields, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields regarded as vector spaces. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Exercises appear throughout the book, with complete solutions at the end.
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/15/2018
ISBN: 9780486824611
Pages: 240
Weight: 0.61lbs
Size: 8.40h x 5.50w x 0.60d
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4.5 ★★★★★
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Product Reviews
★★★★★ 5
Good quality, lotsa fun
Not easy to find a sturdy toy for a minipoodle that loves to play rough with his toy. He has not been able to break this into pieces and that feels reassuring that I don't have to worry about little pieces and choking. These things bounce funny and my boy loves playing with it
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 4, 2026
★★★★★ 5
dottie
good toy foy her she love them she was happy
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Reviewed in the United States on May 20, 2026
★★★★★ 5
Necessary for a small dog.
These are great for a small dog! They can get their mouth around it unlike a round ball. My dog is obsessed with these.
They are great for making him love a new guest to the house. All they have to do is squeak and throw the toy and they have a new friend!
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Reviewed in the United States on April 6, 2026
★★★★★ 4
Great for little dogs but squeaker breaks too easily
My Maltese is about 4.5 pounds and absolutely loves these! He got very excited to play with it right away. The shape is like a slightly flattened ball which is great bc he can pick it up in his tiny mouth. It’s actually quite cute to see him run with it back to me. When you throw it, the way it bounces and rolls is very unpredictable, which I think adds to the fun. Sometimes my pup drops it while running back and it goes rolling or awkwardly bouncing away from him which causes him to get more excited to chase it and grab it again. It’s been a highly entertaining toy for almost a week straight. The only downside is that the squeaker in it isn’t very durable. After a few days of playing and chewing to squeak it himself, the squeaker barely makes any noise. My pup isn’t an aggressive chewer at all so if your dog is an aggressive chewer, the squeaker really will not last.
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Reviewed in the United States on November 9, 2022
★★★★★ 5
G for small dogs
My Havanese absolutely loves these small toys, which we refer to as pucks. They are the perfect size for him. His previous favorite was a small green pig, but ever since we purchased these for his second birthday, he has shown no interest in the pig. They are easy to throw and fit comfortably in his mouth. I plan to purchase more. I would not recommend for strong chewers. My only complaint is I wish they all had happy or crazy faces instead of angry or sad ones.
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Reviewed in the United States on April 5, 2026
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