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Description
The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group TheoryThis informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and
This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and number theory of the late eighteenth and early nineteenth centuries.This survey ranges from the works of Lagrange via Cauchy, Abel, and Galois to those of Serret and Camille Jordan. It then turns to Cayley, to Felix Klein's Erlangen Program, and to Sophus Lie, concluding with a sketch of the state of group theory circa 1920, when the axiom systems of Webber were formalized and investigated in their own right.
"It is a pleasure to turn to Wussing's book, a sound presentation of history," observed the Bulletin of the American Mathematical Society, noting that "Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of nineteenth-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic."
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/11/2007
ISBN: 9780486458687
Pages: 331
Weight: 0.90lbs
Size: 9.18h x 6.17w x 0.63d
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4.5 ★★★★★
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Product Reviews
★★★★★ 4
Good second-level pickleball paddles for a great price
Color: Black, Color: Black
I've been playing pickleball for a while now, though not ever well. I have progressed from wooden paddles and just trying things out to bundles of basic fiberglass paddles and balls to higher-end paddles that individually cost more than the "multi-paddle plus balls" bundles. I have kids and kids-in-law and grandkids, and not everyone has their own paddles. Thus, I purchased this set to get a couple more paddles.
This Amazon Basics set of 2 paddles, four balls, and a carrying case is a starter set, maybe one step up from the basic wooden paddles that I started with. The paddles are nice, light-weight but sturdy, with a decent surface that should allow some level of control. The grips are nice, and there is some additional grip tape you can use to retape a handle that wears out.
The balls are standard balls, and should get you started.
The case is similar to cases I've purchased before with other sets. Unfortunately, the makers skimped on the zipper. It only has one (another case from a similar set had two zippers), and after just a few uses, the zipper completely fell off (see photo). This makes the case completely useless, and definitely drops my rating.
But, given the price, the quality of the paddles, and the four balls, this is still a great starter set, even without a cheap carrying case. I'm happy to have the extra balls and paddles.
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Reviewed in the United States on February 15, 2026
★★★★★ 5
Soooo cute & girly!
Color: Pastel Zigzag, Color: Pastel Zigzag
This cute coral and white pickleball paddle set is perfect for beginners or casual games. The paddles feel sturdy and well made, and the color combo is really fun and stylish. I also love that it comes with two different types of balls, so you’re ready to play right away. The compact carrying bag is a great bonus too — it keeps everything organized and is easy to bring to the court.
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Reviewed in the United States on March 14, 2026
★★★★★ 5
No complaints at all
Color: Black
Great paddles, great value
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Reviewed in the United States on April 3, 2026
★★★★★ 3
Meh
Color: Black
Ok paddles. Coach said not really the best for pickleball.
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Reviewed in the United States on March 22, 2026
★★★★★ 5
What I expected
Color: Black
Exactly what I expected
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 2, 2026
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